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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Main Authors: Linmin Hu, Wei Huang, Guofang Wang, Ruiling Tian
Format: Article
Language:English
Published: Wiley 2018-01-01
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.
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institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2018-01-01
publisher Wiley
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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