Heuristic for Stochastic Online Flowshop Problem with Preemption Penalties

The deterministic flowshop model is one of the most widely studied problems; whereas its stochastic equivalent has remained a challenge. Furthermore, the preemptive online stochastic flowshop problem has received much less attention, and most of the previous researches have considered a nonpreemptiv...

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Main Authors: Mohammad Bayat, Mehdi Heydari, Mohammad Mahdavi Mazdeh
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/916978
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author Mohammad Bayat
Mehdi Heydari
Mohammad Mahdavi Mazdeh
author_facet Mohammad Bayat
Mehdi Heydari
Mohammad Mahdavi Mazdeh
author_sort Mohammad Bayat
collection DOAJ
description The deterministic flowshop model is one of the most widely studied problems; whereas its stochastic equivalent has remained a challenge. Furthermore, the preemptive online stochastic flowshop problem has received much less attention, and most of the previous researches have considered a nonpreemptive version. Moreover, little attention has been devoted to the problems where a certain time penalty is incurred when preemption is allowed. This paper examines the preemptive stochastic online flowshop with the objective of minimizing the expected makespan. All the jobs arrive overtime, which means that the existence and the parameters of each job are unknown until its release date. The processing time of the jobs is stochastic and actual processing time is unknown until completion of the job. A heuristic procedure for this problem is presented, which is applicable whenever the job processing times are characterized by their means and standard deviation. The performance of the proposed heuristic method is explored using some numerical examples.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-03ba8004c9244886abfdcb2322b6ca892025-02-03T01:09:12ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/916978916978Heuristic for Stochastic Online Flowshop Problem with Preemption PenaltiesMohammad Bayat0Mehdi Heydari1Mohammad Mahdavi Mazdeh2Department of Industrial Engineering, Iran University of Science and Technology, Tehran 17347-93138, IranDepartment of Industrial Engineering, Iran University of Science and Technology, Tehran 17347-93138, IranDepartment of Industrial Engineering, Iran University of Science and Technology, Tehran 17347-93138, IranThe deterministic flowshop model is one of the most widely studied problems; whereas its stochastic equivalent has remained a challenge. Furthermore, the preemptive online stochastic flowshop problem has received much less attention, and most of the previous researches have considered a nonpreemptive version. Moreover, little attention has been devoted to the problems where a certain time penalty is incurred when preemption is allowed. This paper examines the preemptive stochastic online flowshop with the objective of minimizing the expected makespan. All the jobs arrive overtime, which means that the existence and the parameters of each job are unknown until its release date. The processing time of the jobs is stochastic and actual processing time is unknown until completion of the job. A heuristic procedure for this problem is presented, which is applicable whenever the job processing times are characterized by their means and standard deviation. The performance of the proposed heuristic method is explored using some numerical examples.http://dx.doi.org/10.1155/2013/916978
spellingShingle Mohammad Bayat
Mehdi Heydari
Mohammad Mahdavi Mazdeh
Heuristic for Stochastic Online Flowshop Problem with Preemption Penalties
Discrete Dynamics in Nature and Society
title Heuristic for Stochastic Online Flowshop Problem with Preemption Penalties
title_full Heuristic for Stochastic Online Flowshop Problem with Preemption Penalties
title_fullStr Heuristic for Stochastic Online Flowshop Problem with Preemption Penalties
title_full_unstemmed Heuristic for Stochastic Online Flowshop Problem with Preemption Penalties
title_short Heuristic for Stochastic Online Flowshop Problem with Preemption Penalties
title_sort heuristic for stochastic online flowshop problem with preemption penalties
url http://dx.doi.org/10.1155/2013/916978
work_keys_str_mv AT mohammadbayat heuristicforstochasticonlineflowshopproblemwithpreemptionpenalties
AT mehdiheydari heuristicforstochasticonlineflowshopproblemwithpreemptionpenalties
AT mohammadmahdavimazdeh heuristicforstochasticonlineflowshopproblemwithpreemptionpenalties