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

Mingbao Cheng, Pandu R. Tadikamalla, Jennifer Shang and Shaqing Zhang

European Journal of Operational Research, 2014, vol. 234, issue 3, 650-657

Abstract: 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.

Keywords: Scheduling; Deteriorating job; Hierarchical optimization; Mixed integer programming; Branch-and-bound (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:234:y:2014:i:3:p:650-657

DOI: 10.1016/j.ejor.2013.09.033

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