Joint production and maintenance strategy for economic production quantity model with imperfect production processes

Journal of Intelligent Manufacturing - Tập 24 - Trang 1229-1240 - 2012
Gwo-Liang Liao1
1Department of Information Science and Management Systems, National Taitung University, Taitung, Taiwan, ROC

Tóm tắt

In this study, an economic production quantity (EPQ) model is generalized by considering maintenance and production programs for an imperfect process involving a deteriorating production system with increasing hazard rate. There are two types of preventive maintenance (PM), namely imperfect PM and perfect PM. The probability that perfect PM is performed depends on the number of imperfect maintenance operations performed since the last renewal cycle. Following a failure, the delayed repair performs some restorations and reduces production rate to restore the system into an operating state (in-control state), but leaves its lower production rate until perfect PM is performed. That is, the production run period not always starts in normal production rate. This study considers backorders, as well as loss of inventory due to the lower production rate. For the EPQ model, the optimum run time, which minimizes the total cost, is discussed. Various special cases are considered, including the maintenance learning effect. Finally, a numerical example is presented to illustrate the effects of PM ability, repair cost and production decreasing rate on total costs and production period.

Tài liệu tham khảo

Anis C., Daoud A. K. (2004) Analysis of a production/inventory system with randomly failing production unit submitted to regular preventive maintenance. European Journal of Operational Research 156: 712–718 Barlow R. E., Hunter L. C. (1960) Optimum preventive maintenance policies. Operations Research 8: 90–100 Ben-Daya M. (2002) The economic production lot-sizing problem with imperfect production processes and imperfect maintenance. International Journal of Production Economics 76: 257–264 Biskup D., Simons D., Jahnke H. (2003) The effect of capital lockup and customer trade credits on the optimal lot size—a confirmation of the EPQ. Computers & Operations Research 30: 1509–1524 Biswas A., Sarkar J., Sarkar S. (2003) Availability of a Periodically Inspected System, Maintained Under an Imperfect-Repair Policy. IEEE Transactions on Reliability 52(3): 311–318 Chang H. C., Ho C. H. (2010) Exact closed-form solutions for “optimal inventory model for items with imperfect quality and shortage backordering”. Omega 38(3–4): 233–237 Chiang J. H., Yuan J. (2001) Optimal maintenance policy for a Markovian system under periodic inspection. Reliability Engineering and System Safety 71: 165–172 Chiu S. W. (2010) Robust planning in optimization for production system subject to random machine breakdown and failure in rework. Computers & Operations Research 37(5): 899–908 Hajji A., Gharbi A., Kenne J. P. (2010) Joint production and supply control in three levels flexible manufacturing systems. Journal of Intelligent Manufacturing 21: 195–204 Harris F. (1913) How many parts to make at once? Factory. The Magazine Of Management 10: 135–136 Hu J. S., Zheng H., Guo C. Y., Ji Y. P. (2010) Optimal production run length with imperfect production processes and backorder in fuzzy random environment. Computers & Industrial Engineering 59: 9–15 Ja S. S., Kulkarni V. G., Mitra A., Patankar J. G. (2001) A Nonrenewable Minimal-Repair Warranty Policy With Time-Dependent Costs. IEEE Transactions on Reliability 50(4): 346–352 Li G., Rajagopalan S. (1997) The impact of quality on learning. Journal of Operations Management 15: 181–191 Liao G. L., Chen Y. H., Sheu S. H. (2009) Optimal economic production quantity policy for imperfect process with imperfect repair and maintenance. European Journal of Operational Research 195: 348–357 Liao W., Pan E., Xi L. (2010) Preventive maintenance scheduling for repairable system with deterioration. Journal of Intelligent Manufacturing 21: 875–884 Lin D., Zuo M. J., Yam R. C. M. (2000) General sequential imperfect preventive maintenance models. International Journal of Reliability, Quality and Safety Engineering 7(3): 253–266 Lin C. S., Chen C. H., Kroll D. E. (2003) Integrated production-inventory models for imperfect production processes under inspection schedules. Computers & Industrial Engineering 44: 633–650 Liu J. J., Yang P. (1996) Optimal lot-sizing in an imperfect production system with homogeneous reworkable jobs. European Journal of Operational Research 91: 517–527 Moore M. J., Bennett C. L. (1995) The learning curve for laparoscopic cholecystectomy. The American Journal of Surgery 170: 55–59 Nakagawa T. (1979) Optimum Policies when Preventive Maintenance is Imperfect. IEEE Transactions on Reliability 28(4): 331–332 Nakagawa T. (1988) Sequential Imperfect Preventive Maintenance Policies. IEEE Trans. Reliability 37(3): 295–298 Nakagawa T., Kijima M. (1989) Replacement policies for a cumulative damage model with minimal repair at failure. IEEE Transactions on Reliability 38(5): 581–584 Nakagawa T., Yasui K. (1987) Optimal Policies for a system with Imperfect Maintenance. IEEE Transactions on Reliability 36(5): 631–633 Nakagawa T., Yasui K. (1991) Periodic-replacement models with threshold levels. IEEE Transactions on Reliability 40(3): 395–397 Ouyang L.Y., Chen C.K., Chang H.C. (2002) Quality improvement, setup cost and lead-time reductions in lot size reorder point models with an imperfect production process. Computers & Operations Research 29: 1701–1717 Pham H., Wang H. (1996) Imperfect maintenance. European Journal of Operational Research 94(3): 425–438 Radhoui M., Rezg N., Chelbi A. (2010) Joint quality control and preventive maintenance strategy for imperfect production processes. Journal of Intelligent Manufacturing 21: 205–212 Rosenblatt M. J., Lee H. L. (1986) Economic production cycles with imperfect production process. IIE Transactions 18: 48–55 Salameh M. K., Jaber M. Y. (2000) Economic production quantity model for items with imperfect quality. International Journal of Production Economics 64: 59–64 Schutz J., Rezg N., Léger J.-B. (2011) Periodic and sequential preventive maintenance policies over a finite planning horizon with a dynamic failure law. Journal of Intelligent Manufacturing 22: 523–532 Sheu S. H., Lin Y. B., Liao G. L. (2006) Optimum policies for a system with general imperfect maintenance. Reliability Engineering and System Safety 91: 362–369 Tseng S. T. (1996) Optimal preventive maintenance policy for deteriorating production systems. IIE Transactions 28: 687–694 Yang Y., Klutke G. A. (2001) A distribution-free lower bound for availability of quantile-based inspection schemes. IEEE Transactions on Reliability 50(4): 419–421 Yang Z., Djurdjanovic D., Ni J. (2008) Maintenance scheduling in manufacturing systems based on predicted machine degradation. Journal of Intelligent Manufacturing 19: 87–98