Article Contents

2017, Volume 13, Issue 2: 713-720. Doi: 10.3934/jimo.2016042

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Multiple common due-dates assignment and optimal maintenance activity scheduling with linear deteriorating jobs

1.
Institute of Systems Engineering, Dalian University of Technology, Dalian, Liaoning, 116023, China
2.
School of Mathematics and System Science, Shenyang Normal University, Shenyang, Liaoning, 110034, China

* Corresponding author
* Corresponding author

Received: October 2013

Revised: June 2016

Published: August 2017

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Abstract

In this paper, we consider the multiple common due-dates assignment and machine scheduling with linear deteriorating jobs and optimal maintenance activity. The linear deteriorating jobs means job processing times are an increasing function of their starting times. The maintenance activity requires a fixed time interval. During the time interval, the machine is turned off and no job is processed. Once completing the maintenance, the machine will revert to its initial condition. The objective is to schedule the jobs, the due dates and the maintenance activity, so as to minimize the total cost including earliness, tardiness, and the due dates. We provide some properties of optimal sequence and introduce an efficient $O({n^{\rm{2}}}\log n)$ algorithm to solve the problem.

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Mathematics Subject Classification: Primary: 90B35; Secondary: 90C26.

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References

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