Robust Proactive Project Scheduling Model for the Stochastic Discrete Time/Cost Trade-Off Problem

We study the project budget version of the stochastic discrete time/cost trade-off problem (SDTCTP-B) from the viewpoint of the robustness in the scheduling. Given the project budget and a set of activity execution modes, each with uncertain activity time and cost, the objective of the SDTCTP-B is t...

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Main Authors: Hongbo Li, Zhe Xu, Li Xiong, Yinbin Liu
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/586087
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author Hongbo Li
Zhe Xu
Li Xiong
Yinbin Liu
author_facet Hongbo Li
Zhe Xu
Li Xiong
Yinbin Liu
author_sort Hongbo Li
collection DOAJ
description We study the project budget version of the stochastic discrete time/cost trade-off problem (SDTCTP-B) from the viewpoint of the robustness in the scheduling. Given the project budget and a set of activity execution modes, each with uncertain activity time and cost, the objective of the SDTCTP-B is to minimize the expected project makespan by determining each activity’s mode and starting time. By modeling the activity time and cost using interval numbers, we propose a proactive project scheduling model for the SDTCTP-B based on robust optimization theory. Our model can generate robust baseline schedules that enable a freely adjustable level of robustness. We convert our model into its robust counterpart using a form of the mixed-integer programming model. Extensive experiments are performed on a large number of randomly generated networks to validate our model. Moreover, simulation is used to investigate the trade-off between the advantages and the disadvantages of our robust proactive project scheduling model.
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issn 1026-0226
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spelling doaj-art-13c768e651af4bc3b8aa47593618f6392025-02-03T01:29:54ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/586087586087Robust Proactive Project Scheduling Model for the Stochastic Discrete Time/Cost Trade-Off ProblemHongbo Li0Zhe Xu1Li Xiong2Yinbin Liu3School of Management, Shanghai University, 99 Shangda Road, Shanghai 200444, ChinaSchool of Economics and Management, Beihang University, 37 Xueyuan Road, Beijing 100191, ChinaSchool of Management, Shanghai University, 99 Shangda Road, Shanghai 200444, ChinaSchool of Management, Shanghai University, 99 Shangda Road, Shanghai 200444, ChinaWe study the project budget version of the stochastic discrete time/cost trade-off problem (SDTCTP-B) from the viewpoint of the robustness in the scheduling. Given the project budget and a set of activity execution modes, each with uncertain activity time and cost, the objective of the SDTCTP-B is to minimize the expected project makespan by determining each activity’s mode and starting time. By modeling the activity time and cost using interval numbers, we propose a proactive project scheduling model for the SDTCTP-B based on robust optimization theory. Our model can generate robust baseline schedules that enable a freely adjustable level of robustness. We convert our model into its robust counterpart using a form of the mixed-integer programming model. Extensive experiments are performed on a large number of randomly generated networks to validate our model. Moreover, simulation is used to investigate the trade-off between the advantages and the disadvantages of our robust proactive project scheduling model.http://dx.doi.org/10.1155/2015/586087
spellingShingle Hongbo Li
Zhe Xu
Li Xiong
Yinbin Liu
Robust Proactive Project Scheduling Model for the Stochastic Discrete Time/Cost Trade-Off Problem
Discrete Dynamics in Nature and Society
title Robust Proactive Project Scheduling Model for the Stochastic Discrete Time/Cost Trade-Off Problem
title_full Robust Proactive Project Scheduling Model for the Stochastic Discrete Time/Cost Trade-Off Problem
title_fullStr Robust Proactive Project Scheduling Model for the Stochastic Discrete Time/Cost Trade-Off Problem
title_full_unstemmed Robust Proactive Project Scheduling Model for the Stochastic Discrete Time/Cost Trade-Off Problem
title_short Robust Proactive Project Scheduling Model for the Stochastic Discrete Time/Cost Trade-Off Problem
title_sort robust proactive project scheduling model for the stochastic discrete time cost trade off problem
url http://dx.doi.org/10.1155/2015/586087
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AT lixiong robustproactiveprojectschedulingmodelforthestochasticdiscretetimecosttradeoffproblem
AT yinbinliu robustproactiveprojectschedulingmodelforthestochasticdiscretetimecosttradeoffproblem