EPQ model for imperfect production processes with rework and random preventive machine time for deteriorating items and trended demand
DOI:
https://doi.org/10.2298/YJOR130608019SKeywords:
EPQ, deterioration, time-dependent demand, rework, preventive maintenance, lost salesAbstract
Economic production quantity (EPQ) model has been analyzed for trended demand, and units in inventory are subject to constant rate. The system allows rework of imperfect units, and preventive maintenance time is random. A search method is used to study the model. The proposed methodology is validated by a numerical example. The sensitivity analysis is carried out to determine the critical model parameters. It is observed that the rate of change of demand, and the deterioration rate have a significant impact on the decision variables and the total cost of an inventory system. The model is highly sensitive to the production and demand rate.References
Abboud, N. E., Jaber, M. Y., and Noueihed, N. A., “Economic Lot Sizing with the Consideration of Random Machine Unavailability Time”, Computers & Operations Research, 27 (4) (2000) 335-351.
Cardenas-Barron, L. E., “On optimal batch sizing in a multi-stage production system with rework consideration”, European Journal of Operational Research, 196 (3) (2009) 1238-1244.
Chiu, S. W., “Optimal replenishment policy for imperfect quality EMQ model with rework and backlogging”, Applied Stochastic Models in Business and Industry, 23 (2) (2007) 165-178.
Chiu, S. W., Gong, D. C., and Wee, H. M., “Effect of random defective rate and imperfect rework process on economic production quantity model”, Japan Journal of Industrial and Applied Mathematics, 21 (3) (2004) 375-389.
Chiu, S. W., Ting, C. K., and Chiu, Y. S. P., “Optimal production lot sizing with rework, scrap rate, and service level constraint”, Mathematical and Computer Modeling, 46 (3) (2007) 535-549.
Chung, C. J., Widyadana, G. A., and Wee, H. M., “Economic production quantity model for deteriorating inventory with random machine unavailability and shortage”, International Journal of Production Research, 49 (3) (2011) 883-902.
Dobos, I., and Richter, K., “An extended production/recycling model with stationary demand and return rates”, International Journal of Production Economics, 90 (3) (2004) 311-323.
Flapper, S. D. P., and Teunter, R. H., “Logistic planning of rework with deteriorating work-in-process”, International Journal of Production Economics, 88 (1) (2004) 51-59.
Inderfuth, K., Lindner, G., and Rachaniotis, N. P., “Lot sizing in a production system with rework and product deterioration”, International Journal of Production Research, 43 (7) (2005) 1355-1374.
Jamal, A. M. M., Sarker, B. R., and Mondal, S., “Optimal manufacturing batch size with rework process at a single-stage production system”, Computer & Industrial Engineering, 47 (1) (2004) 77-89.
Khouja, M., “The economic lot and delivery scheduling problem: common cycle, rework, and variable production rate”, IIE Transactions, 32 (8) (2000) 715-725.
Koh, S. G., Hwang, H., Sohn, K. I., and Ko, C. S., “An optimal ordering and recovery policy for reusable items”, Computers & Industrial Engineering, 43 (1-2) (2002) 59-73.
Meller, R. D., and Kim, D. S., “The impact of preventive maintenance on system cost and buffer size”, European Journal of Operational Research, 95 (3) (2010) 577-591.
Misra, R. B., “Optimum production lot-size model for a system with deteriorating inventory”, International Journal of Production Research, 13 (5) (1975) 495-505.
Schrady, D. A., “A deterministic inventory model for repairable items”, Naval Research Logistics, 14 (3) (1967) 391-398.
Sheu, S. H., and Chen, J. A., “Optimal lot-sizing problem with imperfect maintenance and imperfect production”, International Journal of Systems Science, 35 (1) (2004) 69-77.
Teunter, R., “Lot-sizing for inventory system with product recovery”, Computers & Industrial Engineering, 46 (3) (2004) 431-441.
Tsou, J. C., and Chen, W. J., “The impact of preventive activities on the economics of production systems: Modeling and application”, Applied Mathematical Modelling, 32 (6) (2008) 1056-1065.
Wee, H. M., and Chung, C. J., “Optimizing replenishment policy for an integrated production inventory deteriorating model considering green component-value design and remanufacturing”, International Journal of Production Research, 47 (5) (2009) 1343-1368.
Wee, H. M., and Widyadana, G. A., “Economic production quantity models for deteriorating items with rework and stochastic preventive maintenance time”, International Journal of Production Research, 50 (11) (2012) 2940-2952.
Widyadana, G. A., and Wee, H. M., “Revisiting lot sizing for an inventory system with product recovery”, Computers and Mathematics with Applications, 59 (8) (2010) 2933-2939.
Yang, P. C., Wee H. M., and Chung S. L., “Sequential and global optimization for a closed loop deteriorating inventory supply chain”, Mathematical and Computer Modeling, 52 (1-2) (2010) 161-176.
Yoo, S. H., Kim, D. S., and Park, M. S., “Economic production quantity model with imperfect-quality items, two-way imperfect inspection and sales return”, International Journal of Production Economics, 121 (1) (2009) 255-265.
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