The job shop scheduling problem with convex costs

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Bürgy, Reinhard and Bülbül, Kerem (2018) The job shop scheduling problem with convex costs. European Journal of Operational Research, 268 (1). pp. 82-100. ISSN 0377-2217 (Print) 1872-6860 (Online)

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Official URL: http://dx.doi.org/10.1016/j.ejor.2018.01.027


The job shop scheduling literature has been dominated by a focus on regular objective functions -- in particular the makespan -- in its half a century long history. The last twenty years have encountered a spike of interest in other objectives, such as the total weighted tardiness, but research on non-regular objective functions has always been isolated and scattered. Motivated by this observation, we present a tabu search heuristic for a large class of job shop scheduling problems, where the objective is non-regular in general and minimizes a sum of separable convex cost functions attached to the operation start times and the differences between the start times of arbitrary pairs of operations. This problem definition generalizes a number of problems considered earlier in the literature. A particular notion of "critical paths" derived from the so-called timing problem is at the core of the proposed neighborhood definition exploited successfully in a tabu search algorithm. The computational results attest to the promise of our work.

Item Type:Article
Uncontrolled Keywords:scheduling; job shop; non-regular objective; convex costs; tabu search
Subjects:T Technology > T Technology (General) > T055.4-60.8 Industrial engineering. Management engineering
T Technology > T Technology (General) > T055.4-60.8 Industrial engineering. Management engineering > T57.6-57.97 Operations research. Systems analysis
ID Code:34933
Deposited By:Kerem Bülbül
Deposited On:16 Aug 2018 11:49
Last Modified:16 Aug 2018 11:49

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