Bicriteria hierarchical optimization of two-machine flow shop scheduling problem with time-dependent deteriorating jobs

•Examine a two-machine flowshop scheduling problem with deteriorating jobs.•Minimize the total completion time subject to minimum makespan.•Propose a mixed integer programming and branch-and-bound algorithm for the problem.•Discuss dominant conditions and several polynomial-time solvable special cas...

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Vydané v:European journal of operational research Ročník 234; číslo 3; s. 650 - 657
Hlavní autori: Cheng, Mingbao, Tadikamalla, Pandu R., Shang, Jennifer, Zhang, Shaqing
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Amsterdam Elsevier B.V 01.05.2014
Elsevier Sequoia S.A
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ISSN:0377-2217, 1872-6860
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Abstract •Examine a two-machine flowshop scheduling problem with deteriorating jobs.•Minimize the total completion time subject to minimum makespan.•Propose a mixed integer programming and branch-and-bound algorithm for the problem.•Discuss dominant conditions and several polynomial-time solvable special cases.•Examine the effectiveness and efficiency of the proposed algorithms. We study a two-machine flowshop scheduling problem with time-dependent deteriorating jobs, i.e. the processing times of jobs are an increasing function of their starting time. The objective is to minimize the total completion time subject to minimum makespan. We propose a mixed integer programming model, and develop two pairwise interchange algorithms and a branch-and-bound procedure to solve the problem while using several dominance conditions to limit the size of the search tree. Several polynomial-time solvable special cases are discussed. Finally, numerical studies are performed to examine the effectiveness and the efficiency of the proposed algorithms.
AbstractList •Examine a two-machine flowshop scheduling problem with deteriorating jobs.•Minimize the total completion time subject to minimum makespan.•Propose a mixed integer programming and branch-and-bound algorithm for the problem.•Discuss dominant conditions and several polynomial-time solvable special cases.•Examine the effectiveness and efficiency of the proposed algorithms. We study a two-machine flowshop scheduling problem with time-dependent deteriorating jobs, i.e. the processing times of jobs are an increasing function of their starting time. The objective is to minimize the total completion time subject to minimum makespan. We propose a mixed integer programming model, and develop two pairwise interchange algorithms and a branch-and-bound procedure to solve the problem while using several dominance conditions to limit the size of the search tree. Several polynomial-time solvable special cases are discussed. Finally, numerical studies are performed to examine the effectiveness and the efficiency of the proposed algorithms.
We study a two-machine flowshop scheduling problem with time-dependent deteriorating jobs, i.e. the processing times of jobs are an increasing function of their starting time. The objective is to minimize the total completion time subject to minimum makespan. We propose a mixed integer programming model, and develop two pairwise interchange algorithms and a branch-and-bound procedure to solve the problem while using several dominance conditions to limit the size of the search tree. Several polynomial-time solvable special cases are discussed. Finally, numerical studies are performed to examine the effectiveness and the efficiency of the proposed algorithms.
We study a two-machine flowshop scheduling problem with time-dependent deteriorating jobs, i.e. the processing times of jobs are an increasing function of their starting time. The objective is to minimize the total completion time subject to minimum makespan. We propose a mixed integer programming model, and develop two pairwise interchange algorithms and a branch-and-bound procedure to solve the problem while using several dominance conditions to limit the size of the search tree. Several polynomial-time solvable special cases are discussed. Finally, numerical studies are performed to examine the effectiveness and the efficiency of the proposed algorithms. [PUBLICATION ABSTRACT]
Author Tadikamalla, Pandu R.
Zhang, Shaqing
Shang, Jennifer
Cheng, Mingbao
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  surname: Cheng
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  organization: School of Management, Guangdong University of Technology, Guangzhou, Guangdong Province 510520, PR China
– sequence: 2
  givenname: Pandu R.
  surname: Tadikamalla
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  givenname: Jennifer
  surname: Shang
  fullname: Shang, Jennifer
  organization: Katz Graduate School of Business, University of Pittsburgh, Pittsburgh, PA 15260, United States
– sequence: 4
  givenname: Shaqing
  surname: Zhang
  fullname: Zhang, Shaqing
  organization: School of Management, Guangdong University of Technology, Guangzhou, Guangdong Province 510520, PR China
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Keywords Deteriorating job
Branch-and-bound
Mixed integer programming
Scheduling
Hierarchical optimization
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Snippet •Examine a two-machine flowshop scheduling problem with deteriorating jobs.•Minimize the total completion time subject to minimum makespan.•Propose a mixed...
We study a two-machine flowshop scheduling problem with time-dependent deteriorating jobs, i.e. the processing times of jobs are an increasing function of...
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SubjectTerms Algorithms
Branch & bound algorithms
Branch-and-bound
Deteriorating job
Deterioration
Dominance
Hierarchical optimization
Integer programming
Job shops
Mathematical analysis
Mathematical models
Mathematical problems
Mixed integer programming
Operational research
Optimization
Polynomials
Production scheduling
Scheduling
Studies
Title Bicriteria hierarchical optimization of two-machine flow shop scheduling problem with time-dependent deteriorating jobs
URI https://dx.doi.org/10.1016/j.ejor.2013.09.033
https://www.proquest.com/docview/1491427418
https://www.proquest.com/docview/1530996751
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