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Mathematical Problems in Engineering
Volume 2016, Article ID 8704750, 9 pages
Research Article

Heuristics for the Economic Production Quantity Problem under Restrictions on Production and Maintenance Time

1School of Medical Information Engineering, Jining Medical University, Rizhao 276826, China
2School of Management, Qufu Normal University, Rizhao 276826, China

Received 12 May 2016; Accepted 25 August 2016

Academic Editor: Inmaculada T. Castro

Copyright © 2016 Qi Xu and Jianteng Xu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper proposes an economic production quantity problem with the maximal production run time and minimal preventive maintenance time over a finite planning horizon. The objective is to find the efficient production and maintenance policy to minimize the total cost composed of production, maintenance, shortages, and holding costs under the restriction on the production run time and the preventive maintenance time. The production and maintenance decisions include the production and maintenance frequencies and the production run and the maintenance time. The variability and the boundedness of the production run and maintenance time make the problem difficult to solve. Two heuristic algorithms are developed using different techniques based on the optimal properties of the relaxed problem. The performance comparison between the two algorithms is illustrated by numerical examples. The numerical results show that, for the most part, there exists a heuristic algorithm which is more effective than the other.