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arXiv · 1411.0309

Scheduling step-deteriorating jobs to minimize the total weighted tardiness on a single machine

Peng Guo·Wenming Cheng·Yi Wang
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Abstract

This paper addresses the scheduling problem of minimizing the total weighted tardiness on a single machine with step-deteriorating jobs. With the assumption of deterioration, the job processing times are modeled by step functions of job starting times and pre-specified job deteriorating dates. The introduction of step-deteriorating jobs makes a single machine total weighted tardiness problem more intractable. The computational complexity of this problem under consideration was not determined. In this study, it is firstly proved to be strongly NP-hard. Then a mixed integer programming model is derived for solving the problem instances optimally. In order to tackle large-sized problems, seven dispatching heuristic procedures are developed for near-optimal solutions. Meanwhile, the solutions delivered by the proposed heuristic are further improved by a pair-wise swap movement. Computational results are presented to reveal the performance of all proposed approaches.

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Peng Guo, Wenming Cheng, Yi Wang. 2014-11-02. Scheduling step-deteriorating jobs to minimize the total weighted tardiness on a single machine. https://arxiv.org/abs/1411.0309

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