Bicriterion Optimization for Flow Shop with a Learning Effect Subject to Release Dates

This paper investigates a two-machine flow shop problem with release dates in which the job processing times are variable according to a learning effect. The bicriterion is to minimize the weighted sum of makespan and total completion time subject to release dates. We develop a branch-and-bound (B&a...

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Main Authors: Ji-Bo Wang, Jian Xu, Jing Yang
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/9149510
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author Ji-Bo Wang
Jian Xu
Jing Yang
author_facet Ji-Bo Wang
Jian Xu
Jing Yang
author_sort Ji-Bo Wang
collection DOAJ
description This paper investigates a two-machine flow shop problem with release dates in which the job processing times are variable according to a learning effect. The bicriterion is to minimize the weighted sum of makespan and total completion time subject to release dates. We develop a branch-and-bound (B&B) algorithm to solve the problem by using a dominance property, several lower bounds, and an upper bound to speed up the elimination process of the search tree. We further propose a multiobjective memetic algorithm (MOMA), enhanced by an initialization strategy and a global search strategy, to obtain the Pareto front of the problem. Computational experiments are also carried out to examine the effectiveness and the efficiency of the B&B algorithm and the MOMA algorithm.
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institution Kabale University
issn 1076-2787
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language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-6fc807a0e4ff47f19da31e4bb87d34b22025-02-03T06:11:28ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/91495109149510Bicriterion Optimization for Flow Shop with a Learning Effect Subject to Release DatesJi-Bo Wang0Jian Xu1Jing Yang2School of Science, Shenyang Aerospace University, Shenyang 110136, ChinaSchool of Management Science and Engineering, Dongbei University of Finance and Economics, Dalian 116025, ChinaSchool of Management Science and Engineering, Dongbei University of Finance and Economics, Dalian 116025, ChinaThis paper investigates a two-machine flow shop problem with release dates in which the job processing times are variable according to a learning effect. The bicriterion is to minimize the weighted sum of makespan and total completion time subject to release dates. We develop a branch-and-bound (B&B) algorithm to solve the problem by using a dominance property, several lower bounds, and an upper bound to speed up the elimination process of the search tree. We further propose a multiobjective memetic algorithm (MOMA), enhanced by an initialization strategy and a global search strategy, to obtain the Pareto front of the problem. Computational experiments are also carried out to examine the effectiveness and the efficiency of the B&B algorithm and the MOMA algorithm.http://dx.doi.org/10.1155/2018/9149510
spellingShingle Ji-Bo Wang
Jian Xu
Jing Yang
Bicriterion Optimization for Flow Shop with a Learning Effect Subject to Release Dates
Complexity
title Bicriterion Optimization for Flow Shop with a Learning Effect Subject to Release Dates
title_full Bicriterion Optimization for Flow Shop with a Learning Effect Subject to Release Dates
title_fullStr Bicriterion Optimization for Flow Shop with a Learning Effect Subject to Release Dates
title_full_unstemmed Bicriterion Optimization for Flow Shop with a Learning Effect Subject to Release Dates
title_short Bicriterion Optimization for Flow Shop with a Learning Effect Subject to Release Dates
title_sort bicriterion optimization for flow shop with a learning effect subject to release dates
url http://dx.doi.org/10.1155/2018/9149510
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AT jianxu bicriterionoptimizationforflowshopwithalearningeffectsubjecttoreleasedates
AT jingyang bicriterionoptimizationforflowshopwithalearningeffectsubjecttoreleasedates