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Mathematical Problems in Engineering
Volume 2015, Article ID 728241, 9 pages
Research Article

Modeling Spare Parts Demands Forecast under Two-Dimensional Preventive Maintenance Policy

Department of Management Engineering, Mechanical Engineering College, Shijiazhuang 050003, China

Received 20 October 2014; Revised 13 January 2015; Accepted 26 January 2015

Academic Editor: Mathieu Sellier

Copyright © 2015 Qiwei Hu et al. 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.


In maintenance practice, there is such a situation where the spare parts replacement should be carried out at the scheduling time of calendar or usage for whichever comes first. The issue of two-dimensional preventive maintenance usually was not addressed by traditional methods, and at present, few studies were focused on this very topic. Based on these considerations, this paper presented the two-dimensional preventive policy where replacements of spare parts are based on both calendar time and usage time. A novel model was developed to forecast spare parts demands under two-dimensional preventive maintenance policy, and a discrete algorithm was presented for solving the mathematical model. A case study was given to demonstrate its applicability and validity, and it was showed that the presented model can be used to forecast spare parts demands as well as to optimize spare parts and preventive maintenance jointly.