A new approach for solving repair limit problems
The usual approach to finding optimal repair limits on failure of a component is to use a finite state approximation Markov Decision Process (MDP). In this paper an alternative approach is introduced. Assuming a stochastically increasing repair cost, the optimum solution is shown to satisfy a certai...
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| Veröffentlicht in: | European journal of operational research 1999-02, Vol.113 (1), p.137-146 |
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| container_title | European journal of operational research |
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| creator | Dagpunar, J.S. |
| description | The usual approach to finding optimal repair limits on failure of a component is to use a finite state approximation Markov Decision Process (MDP). In this paper an alternative approach is introduced. Assuming a stochastically increasing repair cost, the optimum solution is shown to satisfy a certain two-point boundary condition, first order differential equation. An asymptotic formula for the optimal repair limit function is derived. Numerical solutions are obtained for some Weibull and Special Erlang distributed time to failure distributions. The structural form of the repair limit function results in a solution procedure which is several orders of magnitude faster than is achievable using previous methods. |
| doi_str_mv | 10.1016/S0377-2217(97)00446-3 |
| format | Article |
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Management science</subject><subject>Operations research</subject><subject>Probability and statistics</subject><subject>Probability theory and stochastic processes</subject><subject>Reliability theory. Replacement problems</subject><subject>Repair</subject><subject>Repair & maintenance</subject><subject>Repair limit</subject><subject>Replacement</subject><subject>Sciences and techniques of general use</subject><subject>Studies</subject><issn>0377-2217</issn><issn>1872-6860</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1999</creationdate><recordtype>article</recordtype><sourceid>X2L</sourceid><recordid>eNqFUF1LwzAUDaLgnP4EoYgP-lDNZ9M8iQy_cOCD-hzS9NZldG1Nusn-vek25qOB5FzIOfeeexA6J_iGYJLdvmMmZUopkVdKXmPMeZayAzQiuaRplmf4EI32lGN0EsIcY0wEESOE75MGfhLTdb41dpZUrU9CW69c85V46IzzSe0Wrk_if1HDIpyio8rUAc52OEafjw8fk-d0-vb0Mrmfppbnok-BGkbBmNxWBSuNZTRXTFksS8g5tari2JCSUi4VZAWrlLWYQWGEoMIUWLAxutj2jYO_lxB6PW-XvokjNcWcsJzKgSS2JOvbEDxUuvNuYfxaE6yHbPQmGz0srpXUm2w0i7rXrS6uCHYvgnjmrYegV5oZQlh810OllIrghjLebkAmNYm9Zv0idrvcWTXBmrryprEu_FnJRcYJj7S7LQ1ibCsHXgfroLFQOg-212Xr_rH9C93hkH0</recordid><startdate>19990216</startdate><enddate>19990216</enddate><creator>Dagpunar, J.S.</creator><general>Elsevier B.V</general><general>Elsevier</general><general>Elsevier Sequoia S.A</general><scope>IQODW</scope><scope>DKI</scope><scope>X2L</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>19990216</creationdate><title>A new approach for solving repair limit problems</title><author>Dagpunar, J.S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c485t-e2a32eaa8cfb3dac328939c07de842c9f40a1d22479e6b3f9cc03eba5525ab053</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1999</creationdate><topic>Applied sciences</topic><topic>Decision making</topic><topic>Exact sciences and technology</topic><topic>Maintenance</topic><topic>Markov processes</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Operational research and scientific management</topic><topic>Operational research. Management science</topic><topic>Operations research</topic><topic>Probability and statistics</topic><topic>Probability theory and stochastic processes</topic><topic>Reliability theory. 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In this paper an alternative approach is introduced. Assuming a stochastically increasing repair cost, the optimum solution is shown to satisfy a certain two-point boundary condition, first order differential equation. An asymptotic formula for the optimal repair limit function is derived. Numerical solutions are obtained for some Weibull and Special Erlang distributed time to failure distributions. The structural form of the repair limit function results in a solution procedure which is several orders of magnitude faster than is achievable using previous methods.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/S0377-2217(97)00446-3</doi><tpages>10</tpages></addata></record> |
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| identifier | ISSN: 0377-2217 |
| ispartof | European journal of operational research, 1999-02, Vol.113 (1), p.137-146 |
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| language | eng |
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| source | RePEc; Elsevier ScienceDirect Journals |
| subjects | Applied sciences Decision making Exact sciences and technology Maintenance Markov processes Mathematical analysis Mathematics Operational research and scientific management Operational research. Management science Operations research Probability and statistics Probability theory and stochastic processes Reliability theory. Replacement problems Repair Repair & maintenance Repair limit Replacement Sciences and techniques of general use Studies |
| title | A new approach for solving repair limit problems |
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