Multiproject Resources Allocation Model under Fuzzy Random Environment and Its Application to Industrial Equipment Installation Engineering

This paper focuses on a multiproject resource allocation problem in a bilevel organization. To solve this problem, a bilevel multiproject resource allocation model under a fuzzy random environment is proposed. Two levels of decision makers are considered in the model. On the upper level, the company...

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Main Authors: Jun Gang, Jiuping Xu, Yinfeng Xu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/818731
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author Jun Gang
Jiuping Xu
Yinfeng Xu
author_facet Jun Gang
Jiuping Xu
Yinfeng Xu
author_sort Jun Gang
collection DOAJ
description This paper focuses on a multiproject resource allocation problem in a bilevel organization. To solve this problem, a bilevel multiproject resource allocation model under a fuzzy random environment is proposed. Two levels of decision makers are considered in the model. On the upper level, the company manager aims to allocate the company's resources to multiple projects to achieve the lowest cost, which include resource costs and a tardiness penalty. On the lower level, each project manager attempts to schedule their resource-constrained project, with minimization of project duration as the main objective. In contrast to prior studies, uncertainty in resource allocation has been explicitly considered. Specifically, our research uses fuzzy random variables to model uncertain activity durations and resource costs. To search for the optimal solution of the bilevel model, a hybrid algorithm made up of an adaptive particle swarm optimization, an adaptive hybrid genetic algorithm, and a fuzzy random simulation algorithm is also proposed. Finally, the efficiency of the proposed model and algorithm is evaluated through a practical case from an industrial equipment installation company. The results show that the proposed model is efficient in dealing with practical resource allocation problems in a bilevel organization.
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institution Kabale University
issn 1110-757X
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publishDate 2013-01-01
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record_format Article
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spelling doaj-art-07d6a0650e5d4fff9fb2ec133745afca2025-02-03T05:54:00ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/818731818731Multiproject Resources Allocation Model under Fuzzy Random Environment and Its Application to Industrial Equipment Installation EngineeringJun Gang0Jiuping Xu1Yinfeng Xu2Business School, Sichuan University, Chengdu 610064, ChinaBusiness School, Sichuan University, Chengdu 610064, ChinaBusiness School, Sichuan University, Chengdu 610064, ChinaThis paper focuses on a multiproject resource allocation problem in a bilevel organization. To solve this problem, a bilevel multiproject resource allocation model under a fuzzy random environment is proposed. Two levels of decision makers are considered in the model. On the upper level, the company manager aims to allocate the company's resources to multiple projects to achieve the lowest cost, which include resource costs and a tardiness penalty. On the lower level, each project manager attempts to schedule their resource-constrained project, with minimization of project duration as the main objective. In contrast to prior studies, uncertainty in resource allocation has been explicitly considered. Specifically, our research uses fuzzy random variables to model uncertain activity durations and resource costs. To search for the optimal solution of the bilevel model, a hybrid algorithm made up of an adaptive particle swarm optimization, an adaptive hybrid genetic algorithm, and a fuzzy random simulation algorithm is also proposed. Finally, the efficiency of the proposed model and algorithm is evaluated through a practical case from an industrial equipment installation company. The results show that the proposed model is efficient in dealing with practical resource allocation problems in a bilevel organization.http://dx.doi.org/10.1155/2013/818731
spellingShingle Jun Gang
Jiuping Xu
Yinfeng Xu
Multiproject Resources Allocation Model under Fuzzy Random Environment and Its Application to Industrial Equipment Installation Engineering
Journal of Applied Mathematics
title Multiproject Resources Allocation Model under Fuzzy Random Environment and Its Application to Industrial Equipment Installation Engineering
title_full Multiproject Resources Allocation Model under Fuzzy Random Environment and Its Application to Industrial Equipment Installation Engineering
title_fullStr Multiproject Resources Allocation Model under Fuzzy Random Environment and Its Application to Industrial Equipment Installation Engineering
title_full_unstemmed Multiproject Resources Allocation Model under Fuzzy Random Environment and Its Application to Industrial Equipment Installation Engineering
title_short Multiproject Resources Allocation Model under Fuzzy Random Environment and Its Application to Industrial Equipment Installation Engineering
title_sort multiproject resources allocation model under fuzzy random environment and its application to industrial equipment installation engineering
url http://dx.doi.org/10.1155/2013/818731
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AT jiupingxu multiprojectresourcesallocationmodelunderfuzzyrandomenvironmentanditsapplicationtoindustrialequipmentinstallationengineering
AT yinfengxu multiprojectresourcesallocationmodelunderfuzzyrandomenvironmentanditsapplicationtoindustrialequipmentinstallationengineering