Redundancy Optimization of an Uncertain Parallel-Series System with Warm Standby Elements
The redundancy optimization problem is formulated for an uncertain parallel-series system with warm standby elements. The lifetimes and costs of elements are considered uncertain variables, and the weights and volumes of elements are random variables. The uncertain measure optimization model (UMOM),...
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Format: | Article |
Language: | English |
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Wiley
2018-01-01
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Series: | Complexity |
Online Access: | http://dx.doi.org/10.1155/2018/3154360 |
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author | Linmin Hu Wei Huang Guofang Wang Ruiling Tian |
author_facet | Linmin Hu Wei Huang Guofang Wang Ruiling Tian |
author_sort | Linmin Hu |
collection | DOAJ |
description | The redundancy optimization problem is formulated for an uncertain parallel-series system with warm standby elements. The lifetimes and costs of elements are considered uncertain variables, and the weights and volumes of elements are random variables. The uncertain measure optimization model (UMOM), the uncertain optimistic value optimization model (UOVOM), and the uncertain cost optimization model (UCOM) are developed through reliability maximization, lifetime maximization, and cost minimization, respectively. An efficient simulation optimization algorithm is provided to calculate the objective values and optimal solutions of the UMOM, UOVOM, and UCOM. A numerical example is presented to illustrate the rationality of the models and the feasibility of the optimization algorithm. |
format | Article |
id | doaj-art-19dac41790db436f918408b6a8d12e1d |
institution | Kabale University |
issn | 1076-2787 1099-0526 |
language | English |
publishDate | 2018-01-01 |
publisher | Wiley |
record_format | Article |
series | Complexity |
spelling | doaj-art-19dac41790db436f918408b6a8d12e1d2025-02-03T05:59:15ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/31543603154360Redundancy Optimization of an Uncertain Parallel-Series System with Warm Standby ElementsLinmin Hu0Wei Huang1Guofang Wang2Ruiling Tian3School of Science, Yanshan University, Qinhuangdao 066004, ChinaSchool of Science, Yanshan University, Qinhuangdao 066004, ChinaSchool of Science, Yanshan University, Qinhuangdao 066004, ChinaSchool of Science, Yanshan University, Qinhuangdao 066004, ChinaThe redundancy optimization problem is formulated for an uncertain parallel-series system with warm standby elements. The lifetimes and costs of elements are considered uncertain variables, and the weights and volumes of elements are random variables. The uncertain measure optimization model (UMOM), the uncertain optimistic value optimization model (UOVOM), and the uncertain cost optimization model (UCOM) are developed through reliability maximization, lifetime maximization, and cost minimization, respectively. An efficient simulation optimization algorithm is provided to calculate the objective values and optimal solutions of the UMOM, UOVOM, and UCOM. A numerical example is presented to illustrate the rationality of the models and the feasibility of the optimization algorithm.http://dx.doi.org/10.1155/2018/3154360 |
spellingShingle | Linmin Hu Wei Huang Guofang Wang Ruiling Tian Redundancy Optimization of an Uncertain Parallel-Series System with Warm Standby Elements Complexity |
title | Redundancy Optimization of an Uncertain Parallel-Series System with Warm Standby Elements |
title_full | Redundancy Optimization of an Uncertain Parallel-Series System with Warm Standby Elements |
title_fullStr | Redundancy Optimization of an Uncertain Parallel-Series System with Warm Standby Elements |
title_full_unstemmed | Redundancy Optimization of an Uncertain Parallel-Series System with Warm Standby Elements |
title_short | Redundancy Optimization of an Uncertain Parallel-Series System with Warm Standby Elements |
title_sort | redundancy optimization of an uncertain parallel series system with warm standby elements |
url | http://dx.doi.org/10.1155/2018/3154360 |
work_keys_str_mv | AT linminhu redundancyoptimizationofanuncertainparallelseriessystemwithwarmstandbyelements AT weihuang redundancyoptimizationofanuncertainparallelseriessystemwithwarmstandbyelements AT guofangwang redundancyoptimizationofanuncertainparallelseriessystemwithwarmstandbyelements AT ruilingtian redundancyoptimizationofanuncertainparallelseriessystemwithwarmstandbyelements |