Mathcad Professional 14.1 <description/> <author>Андрей</author> <company/> <keywords/> <revisedBy>Андрей</revisedBy> </userData> <identityInfo> <revision>6</revision> <documentID>B243DED4-56CF-4C69-940D-7A6F759CDDDC</documentID> <versionID>01651059-244A-43F7-9304-325E3D7C0B1D</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Обычный"> <blockAttr margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="dot" derivative="derivative" literal-subscript="small" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle name="Переменные" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Константы" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Пользовательский 1" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Пользовательский 2" font-family="Courier New" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Пользовательский 3" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Пользовательский 4" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Пользовательский 5" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Пользовательский 6" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Пользовательский 7" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Шрифт математического текста" font-family="Times New Roman" font-charset="0" font-size="14" font-weight="normal" font-style="normal" underline="false"/> </mathStyles> <dimensionNames mass="масса" length="длина" time="время" current="сила тока" thermodynamic-temperature="температура" luminous-intensity="сила света" amount-of-substance="количество вещества" display="false"/> <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false"/> <results numeric-only="true"> <engineering use-e-notation="true" precision="15" show-trailing-zeros="false" radix="dec" complex-threshold="12" zero-threshold="17" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="1" orientation="portrait" print-single-page-width="false" page-width="612" page-height="792"> <margins left="72" right="72" top="72" bottom="72"/> <header use-full-page-width="false"/> <footer use-full-page-width="false"/> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="ru" UI="ru"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="false" optimize-expressions="false" exact-boolean="true" strings-use-origin="false" zero-over-zero="error"> <compatibility multiple-assignment="MC12" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="242" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="0"/> </miscellaneous> </settings> <regions> <region region-id="2" left="48" top="14.25" width="327" height="36" align-x="77.25" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <tab/> <tab/> <tab/>Лабораторная работы №2</p> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <tab/> <tab/> <tab/> <tab/>по дисциплине:</p> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"><<Надёжность и отказоустойчивость вычислительны система и сетей>></p> </text> </region> <region region-id="7" left="150" top="62.25" width="159" height="12" align-x="173.25" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">^.^</p> </text> </region> <region region-id="12" left="24" top="92.25" width="300.75" height="36" align-x="41.25" align-y="102" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Имеется система из двух элементов, с интенсивностью отказов λ </p> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">и интенсивностью восстановления μ для каждого элемента.</p> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <sp count="2"/> </p> </text> </region> <region region-id="15" left="18" top="120" width="191.25" height="144.75" align-x="18" align-y="120" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{D3E34B21-9D75-101A-8C3D-00AA001A1652}" type="embedded" item-idref="1"/> <rendering item-idref="2"/> </region> <region region-id="229" left="252" top="135" width="46.5" height="18.75" align-x="269.25" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">λ1</ml:id> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-4</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="234" left="312" top="140.25" width="103.5" height="12" align-x="342.75" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Интенсивность отказов</p> </text> </region> <region region-id="241" left="198" top="146.25" width="27" height="12" align-x="200.25" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> λ1 μ1</p> </text> </region> <region region-id="231" left="252" top="159" width="36.75" height="12.75" align-x="269.25" align-y="168" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">μ1</ml:id> <ml:real>1.0</ml:real> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="235" left="312" top="158.25" width="153.75" height="12" align-x="342.75" align-y="168" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Интенсивность восстановления</p> </text> </region> <region region-id="242" left="204" top="212.25" width="27" height="12" align-x="206.25" align-y="222" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> λ2 μ2</p> </text> </region> <region region-id="23" left="264" top="207" width="46.5" height="18.75" align-x="281.25" align-y="222" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">λ2</ml:id> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-4</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="238" left="324" top="212.25" width="103.5" height="12" align-x="354.75" align-y="222" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Интенсивность отказов</p> </text> </region> <region region-id="240" left="264" top="231" width="30" height="12.75" align-x="281.25" align-y="240" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">μ2</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="239" left="324" top="230.25" width="153.75" height="12" align-x="354.75" align-y="240" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Интенсивность восстановления</p> </text> </region> <region region-id="26" left="24" top="284.25" width="147" height="12" align-x="25.5" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">1. Система с одним работником.</p> </text> </region> <region region-id="128" left="24" top="300" width="186" height="140.25" align-x="24" align-y="300" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{D3E34B21-9D75-101A-8C3D-00AA001A1652}" type="embedded" item-idref="7"/> <rendering item-idref="8"/> </region> <region region-id="129" left="30" top="435" width="24" height="12.75" align-x="41.25" align-y="444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">Given</ml:id> </math> <rendering item-idref="9"/> </region> <region region-id="130" left="36" top="453" width="92.25" height="12.75" align-x="116.25" align-y="462" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">P0</ml:id> <ml:id xml:space="preserve">P1</ml:id> </ml:apply> <ml:id xml:space="preserve">P2</ml:id> </ml:apply> <ml:id xml:space="preserve">P3</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> </math> <rendering item-idref="10"/> </region> <region region-id="131" left="30" top="477" width="123" height="12.75" align-x="141" align-y="486" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:neg/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">μ2</ml:id> <ml:id xml:space="preserve">λ1</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">P2</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">λ2</ml:id> <ml:id xml:space="preserve">P0</ml:id> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="11"/> </region> <region region-id="132" left="30" top="501" width="134.25" height="12.75" align-x="152.25" align-y="510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">μ2</ml:id> </ml:apply> <ml:id xml:space="preserve">P3</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">λ2</ml:id> <ml:id xml:space="preserve">P1</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">λ1</ml:id> <ml:id xml:space="preserve">P2</ml:id> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="12"/> </region> <region region-id="133" left="30" top="519" width="164.25" height="12.75" align-x="182.25" align-y="528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:neg/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">λ1</ml:id> <ml:id xml:space="preserve">λ2</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">P0</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">μ1</ml:id> <ml:id xml:space="preserve">P1</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">μ2</ml:id> <ml:id xml:space="preserve">P2</ml:id> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="13"/> </region> <region region-id="169" left="24" top="566.25" width="93.75" height="12" align-x="50.25" align-y="576" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Вероятности работы:</p> </text> </region> <region region-id="165" left="144" top="542.25" width="255" height="62.25" align-x="168" align-y="576" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Ans</ml:id> <ml:symEval style="default" hide-keywords="false" hide-lhs="false"> <ml:apply> <ml:Find auto-method="true" method="conjugate" derivative-estimation="central" variable-estimation="tangent" linear-check="false" multistart="false" evolutionary="false"/> <ml:sequence> <ml:id xml:space="preserve">P0</ml:id> <ml:id xml:space="preserve">P1</ml:id> <ml:id xml:space="preserve">P2</ml:id> <ml:id xml:space="preserve">P3</ml:id> </ml:sequence> </ml:apply> <ml:symResult> <ml:matrix rows="4" cols="1"> <ml:real>0.99980001999999960008</ml:real> <ml:real>0.000099989999000499910009</ml:real> <ml:real>0.000099970004999500010007</ml:real> <ml:real>1.9996000399999992002e-8</ml:real> </ml:matrix> </ml:symResult> </ml:symEval> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="171" left="18" top="620.25" width="155.25" height="12" align-x="46.5" align-y="630" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Коэффициент готовности системы:</p> </text> </region> <region region-id="172" left="198" top="621" width="233.25" height="18" align-x="233.25" align-y="630" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Kg_1w</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ans</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ans</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ans</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.99999998000399959</ml:real> </result> </ml:eval> </ml:define> <resultFormat numeric-only="true"> <engineering use-e-notation="true" precision="10" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="15"/> </region> <region region-id="41" left="18" top="662.25" width="149.25" height="12" align-x="19.5" align-y="672" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">2. Система с двумя работниками</p> </text> </region> <region region-id="137" left="18" top="678" width="211.5" height="160.5" align-x="18" align-y="678" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{D3E34B21-9D75-101A-8C3D-00AA001A1652}" type="embedded" item-idref="16"/> <rendering item-idref="17"/> </region> <region region-id="94" left="24" top="825" width="24" height="12.75" align-x="35.25" align-y="834" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">Given</ml:id> </math> <rendering item-idref="18"/> </region> <region region-id="95" left="24" top="849" width="164.25" height="12.75" align-x="176.25" align-y="858" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:neg/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">λ1</ml:id> <ml:id xml:space="preserve">λ2</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">P0</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">μ1</ml:id> <ml:id xml:space="preserve">P1</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">μ2</ml:id> <ml:id xml:space="preserve">P2</ml:id> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="19"/> </region> <region region-id="96" left="18" top="867" width="164.25" height="12.75" align-x="170.25" align-y="876" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:neg/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">μ1</ml:id> <ml:id xml:space="preserve">λ2</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">P1</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">λ1</ml:id> <ml:id xml:space="preserve">P0</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">μ2</ml:id> <ml:id xml:space="preserve">P3</ml:id> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="20"/> </region> <region region-id="97" left="18" top="885" width="164.25" height="12.75" align-x="170.25" align-y="894" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:neg/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">μ1</ml:id> <ml:id xml:space="preserve">μ2</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">P3</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">λ2</ml:id> <ml:id xml:space="preserve">P1</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">λ1</ml:id> <ml:id xml:space="preserve">P2</ml:id> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="21"/> </region> <region region-id="98" left="18" top="909" width="92.25" height="12.75" align-x="98.25" align-y="918" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">P0</ml:id> <ml:id xml:space="preserve">P1</ml:id> </ml:apply> <ml:id xml:space="preserve">P2</ml:id> </ml:apply> <ml:id xml:space="preserve">P3</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> </math> <rendering item-idref="22"/> </region> <region region-id="99" left="18" top="944.25" width="255" height="62.25" align-x="42" align-y="978" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Ans</ml:id> <ml:symEval style="default" hide-keywords="false" hide-lhs="false"> <ml:apply> <ml:Find auto-method="true" method="conjugate" derivative-estimation="central" variable-estimation="tangent" linear-check="false" multistart="false" evolutionary="false"/> <ml:sequence> <ml:id xml:space="preserve">P0</ml:id> <ml:id xml:space="preserve">P1</ml:id> <ml:id xml:space="preserve">P2</ml:id> <ml:id xml:space="preserve">P3</ml:id> </ml:sequence> </ml:apply> <ml:symResult> <ml:matrix rows="4" cols="1"> <ml:real>0.99980002999600049994</ml:real> <ml:real>0.000099980002999600049994</ml:real> <ml:real>0.000099980002999600049994</ml:real> <ml:real>9.9980002999600049994e-9</ml:real> </ml:matrix> </ml:symResult> </ml:symEval> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="173" left="180" top="1035" width="233.25" height="18" align-x="215.25" align-y="1044" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Kg_2w</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ans</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ans</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ans</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.99999999000199968</ml:real> </result> </ml:eval> </ml:define> <resultFormat numeric-only="true"> <engineering use-e-notation="true" precision="10" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="24"/> </region> <region region-id="176" left="12" top="1040.25" width="155.25" height="12" align-x="12" align-y="1050" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Коэффициент готовности системы:</p> </text> </region> <region region-id="103" left="24" top="1076.25" width="256.5" height="12" align-x="25.5" align-y="1086" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">3. Система с двумя работниками с учётом предыстории.</p> </text> </region> <region region-id="151" left="30" top="1104" width="313.5" height="226.5" align-x="30" align-y="1104" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{D3E34B21-9D75-101A-8C3D-00AA001A1652}" type="embedded" item-idref="25"/> <rendering item-idref="26"/> </region> <region region-id="141" left="42" top="1317" width="24" height="12.75" align-x="53.25" align-y="1326" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">Given</ml:id> </math> <rendering item-idref="27"/> </region> <region region-id="142" left="42" top="1341" width="114" height="12.75" align-x="144" align-y="1350" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">P0</ml:id> <ml:id xml:space="preserve">P1</ml:id> </ml:apply> <ml:id xml:space="preserve">P2</ml:id> </ml:apply> <ml:id xml:space="preserve">P3</ml:id> </ml:apply> <ml:id xml:space="preserve">P4</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> </math> <rendering item-idref="28"/> </region> <region region-id="143" left="42" top="1365" width="164.25" height="12.75" align-x="194.25" align-y="1374" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:neg/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">λ1</ml:id> <ml:id xml:space="preserve">λ2</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">P0</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">μ1</ml:id> <ml:id xml:space="preserve">P1</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">μ2</ml:id> <ml:id xml:space="preserve">P2</ml:id> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="29"/> </region> <region region-id="144" left="42" top="1389" width="93" height="12.75" align-x="123" align-y="1398" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">μ1</ml:id> </ml:apply> <ml:id xml:space="preserve">P3</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">λ1</ml:id> <ml:id xml:space="preserve">P1</ml:id> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="30"/> </region> <region region-id="145" left="42" top="1413" width="93" height="12.75" align-x="123" align-y="1422" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">μ2</ml:id> </ml:apply> <ml:id xml:space="preserve">P4</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">λ1</ml:id> <ml:id xml:space="preserve">P2</ml:id> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="31"/> </region> <region region-id="146" left="42" top="1431" width="164.25" height="12.75" align-x="194.25" align-y="1440" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:neg/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">λ1</ml:id> <ml:id xml:space="preserve">μ2</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">P2</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">λ2</ml:id> <ml:id xml:space="preserve">P0</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">μ1</ml:id> <ml:id xml:space="preserve">P3</ml:id> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="32"/> </region> <region region-id="147" left="42" top="1458" width="237.75" height="78.75" align-x="142.5" align-y="1500" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:Find auto-method="true" method="conjugate" derivative-estimation="central" variable-estimation="tangent" linear-check="false" multistart="false" evolutionary="false"/> <ml:sequence> <ml:id xml:space="preserve">P0</ml:id> <ml:id xml:space="preserve">P1</ml:id> <ml:id xml:space="preserve">P2</ml:id> <ml:id xml:space="preserve">P3</ml:id> <ml:id xml:space="preserve">P4</ml:id> </ml:sequence> </ml:apply> <ml:symResult> <ml:matrix rows="5" cols="1"> <ml:real>0.99980001999999960008</ml:real> <ml:real>0.000099980001999999960008</ml:real> <ml:real>0.000099980001999999960008</ml:real> <ml:real>9.9980001999999960008e-9</ml:real> <ml:real>9.9980001999999960008e-9</ml:real> </ml:matrix> </ml:symResult> </ml:symEval> </math> <rendering item-idref="33"/> </region> <region region-id="179" left="42" top="1562.25" width="155.25" height="12" align-x="42" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Коэффициент готовности системы:</p> </text> </region> <region region-id="178" left="204" top="1563" width="253.5" height="18" align-x="259.5" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Kg_2w_hist</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ans</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ans</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ans</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.99999999000199968</ml:real> </result> </ml:eval> </ml:define> <resultFormat numeric-only="true"> <engineering use-e-notation="true" precision="10" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="34"/> </region> <region region-id="149" left="48" top="1593" width="136.5" height="12.75" align-x="142.5" align-y="1602" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">Kg_2w</ml:id> <ml:id xml:space="preserve">Kg_2w_hist</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0</ml:real> </result> </ml:eval> </math> <rendering item-idref="35"/> </region> <region region-id="150" left="48" top="1616.25" width="322.5" height="12" align-x="69.75" align-y="1626" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Обычный" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Сравнивая с пунтком 2 можно сделать вывод, что системы идентичны.</p> </text> </region> <region region-id="182" left="42" top="1676.25" width="156.75" height="12" align-x="68.25" align-y="1686" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Коэффицент готовности 1 прибора:</p> </text> </region> <region region-id="180" left="204" top="1655.25" width="203.25" height="57.75" align-x="222" align-y="1686" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">K1</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">λ1</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:plus/> <ml:parens> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">λ1</ml:id> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">μ1</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.99990000999900008</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="36"/> </region> <region region-id="190" left="42" top="1742.25" width="156.75" height="12" align-x="42" align-y="1752" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Коэффицент готовности 2 прибора:</p> </text> </region> <region region-id="183" left="210" top="1721.25" width="203.25" height="57.75" align-x="228" align-y="1752" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">K2</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">λ2</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:plus/> <ml:parens> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">λ2</ml:id> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">μ2</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.99990000999900008</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="37"/> </region> <region region-id="194" left="42" top="1790.25" width="201" height="12" align-x="67.5" align-y="1800" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Коэффициент готовности исходной системы.</p> </text> </region> <region region-id="161" left="48" top="1815" width="231.75" height="12.75" align-x="61.5" align-y="1824" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">R</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve">K1</ml:id> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve">K2</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.99999999000199968</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="197" left="42" top="1838.25" width="375.75" height="24" align-x="60" align-y="1848" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Сравним коэффициент готовности исходной системы и расчитанной по марковской</p> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" 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lock-width="true"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Так как К.Г. по марковской модели с одним работником меньше, можно сделать вывод,</p> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">что модель с одним работником понижает потенциальную эффективность системы.<sp count="2"/> </p> </text> </region> <region region-id="214" left="42" top="1916.25" width="412.5" height="24" align-x="61.5" align-y="1926" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Обычный" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Сравним коэффициент готовности исходной системы и 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