Producer's replenishment policy for an EPQ model with rework and machine failure taking place in backorder reloading time

WSEAS Transactions on Mathematics

Volumn 9, Issue 3, 2010, Pages 223-233

  Chen, Kuang Ku ^a   Chiu, Yuan Shyi Peter ^b   Ting, Chia Kuan ^b  

^a NATIONAL CHANGHUA UNIVERSITY OF EDUCATION   (Taiwan)

^b CHAOYANG UNIVERSITY OF TECHNOLOGY   (Taiwan)

Author keywords

Backorder; Breakdown; Inventory; Lot size; Optimization; Production run time; Rework

Indexed keywords

BACKORDERS; COST ANALYSIS; CYCLE LENGTH; ECONOMIC PRODUCTION QUANTITY; EPQ MODELS; IMPERFECT QUALITY; IMPERFECT SYSTEMS; INVENTORY COSTS; LONG-RUN AVERAGE COST; LOT SIZE; LOT SIZING PROBLEMS; MACHINE BREAKDOWN; MACHINE FAILURE; MATHEMATICAL MODELING; MEAN TIME BETWEEN FAILURES; NUMERICAL EXAMPLE; OPTIMAL MANUFACTURING; OPTIMAL PRODUCTION; OVERALL COSTS; PRODUCTION RUN TIME; PRODUCTION SYSTEM; RELIABILITY FACTOR; RENEWAL REWARD THEOREM; REPLENISHMENT POLICY;

COMPUTER SIMULATION; COST ACCOUNTING; COSTS; FAILURE (MECHANICAL); OPTIMIZATION;

COST BENEFIT ANALYSIS;

EID: 77950237103     PISSN: 11092769     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (36)

1. E. A. Silver, D. F. Pyke and R. Peterson, Inventory Management and Production Planning and Scheduling, John Wiley & Sons, New York, 1998.
2. F. S. Hillier and G. J. Lieberman, Introduction to Operations Research, McGraw Hill, New York, 2001.
3. S. Nahmias, Production and Operations Analysis, McGraw-Hill Co. Inc., New York, 2009.
4. S. Osteryoung, E. Nosari, D. McCarty, W. J. Reinhart, Use of the EOQ model for inventory analysis. Production and Inventory Management, Vol. 27, 1986, pp. 39-45.
5. S. W. Chiu, Optimization problem for EMQ model with backlog level constraint. WSEAS Transactions on Information Science & Applications, Vol. 4 (4), 2007, pp. 687-692.
6. S. W. Chiu, A comprehensible revision of Silver-Meal heuristic for practitioners learning lot-size problem. WSEAS Transactions on Systems, Vol. 6 (4), 2007, pp. 706-710
7. S. W. Chiu, C.-K. Ting, Y.-S. P. Chiu, A modified version of the part period lot-sizing heuristic. International Journal for Engineering Modelling, Vol. 18 (1-2), 2005, pp. 59-64.
8. S. W. Chiu, J.-C. Yang, S.-Y. C. Kuo, Manufacturing lot sizing with backordering, scrap, and random breakdown occurring in inventory-stacking period. WSEAS Trans. on Mathematics, Vol. 7 (4), 2008, pp. 183-194.
9. M. J. Rosenblatt and H. L. Lee, Economic production cycles with imperfect production processes. IIE Transactions, Vol. 18, 1986, pp. 48-55.
10. H. L. Lee and M. J. Rosenblatt, Simultaneous determination of production cycle and inspection schedules in a production system. Management Science, Vol. 33, 1987, pp. 1125-1136.
11. T. Bielecki and P. R. Kumar, Optimality of zero-inventory policies for unreliable production facility, Operations Research, Vol. 36, 1988, pp. 532-541.
12. X. Zhang and Y. Gerchak, Joint lot sizing and inspection policy in an EOQ model with random yield. IIE Transactions, Vol. 22, 1990, pp. 41-47.
13. T. C. E. Cheng, An economic order quantity model with demand-dependent unit production cost and imperfect production processes. IIE Transaction, Vol. 23, 1991, pp. 23-28.
14. T. Boone, R. Ganeshan, Y. Guo and J. K. Ord, The impact of imperfect processes on production run times. Decision Sciences, Vol. 31 (4), 2000, pp. 773-785.
15. T. K. Das and S. Sarkar, Optimal preventive maintenance in a production inventory system. IIE Transactions, Vol. 31, 1999, pp. 537-551.
16. K. L. Cheung and W. H. Hausman, Joint determination of preventive maintenance and safety stocks in an unreliable production environment. Naval Research Logistics, Vol. 44 (3), 1997, pp. 257-272.
17. P. A. Hayek and M. K. Salameh, Production lot sizing with the reworking of imperfect quality items produced. Production Planning and Control, Vol. 12, 2001, pp. 584-590.
18. A. M. M. Jamal, B. R. Sarker and S. Mondal, Optimal manufacturing batch size with rework process at a single-stage production system. Computers and Industrial Engineering, Vol. 47, 2004, pp. 77-89.
19. S. W. Chiu and Y.-S. P. Chiu, Mathematical modeling for production system with backlogging and failure in repair. Journal of Scientific & Industrial Research, Vol. 65 (6), 2006, pp. 499-506.
20. Y.-S. P. Chiu, Determining the optimal lot size for the finite production model with random defective rate, the rework process, and backlogging. Engineering Optimization, Vol. 35 (4), 2003, pp. 427-437.
21. S. W. Chiu, Effects of service level constraint and failure-in-repair on an economic manufacturing quantity model, P I Mech Eng Part B: Journal of Engineering Manufacture, Vol. 221 (7), 2007, pp. 1235-1243.
22. S. W. Chiu, Optimal replenishment policy for imperfect quality EMQ model with rework and backlogging, Applied Stochastic Models in Business and Industry, Vol. 23 (2), 2007, pp. 165-178.
23. S. W. Chiu, Production lot size problem with failure in repair and backlogging derived without derivatives, European Journal of Operational Research, Vol. 188 (2), 2008, pp. 610-615
24. H. Groenevelt, L. Pintelon and A. Seidmann, Production lot sizing with machine breakdowns. Management Science, Vol. 38, 1992, pp. 104-123.
25. B. C. Giri and T. Dohi, Exact formulation of stochastic EMQ model for an unreliable production system. Journal of the Operational Research Society, Vol. 56 (5), 2005, pp. 563-575.
26. S. W. Chiu, S. L. Wang and Y.-S. P. Chiu, Determining the optimal run time for EPQ model with scrap, rework, and stochastic breakdowns. European Journal of Operational Research, Vol. 180, 2007, pp. 664-676.
27. H. Kuhn, A dynamic lot sizing model with exponential machine breakdowns. European Journal of Operational Research, Vol. 100, 1997, pp. 514-536.
28. V. Makis and J. Fung, An EMQ model with inspections and random machine failures. Journal of Operational Research Society, Vol. 49, 1998, pp. 66-76.
29. S. W. Chiu, Production run time problem with machine breakdowns under AR control policy and rework. Journal of Scientific & Industrial Research, Vol. 66 (12), 2007, pp. 979-988.
30. S. W. Chiu, K.-K. Chen and J.-C. Yang, Optimal replenishment policy for manufacturing systems with failure in rework, backlogging, and random breakdown. Mathematical and Computer Modelling of Dynamical Systems, Vol. 15 (3), 2009, pp. 255-274.
31. Y.-S. P. Chiu, S. W. Chiu, C.-Y. Li and C.-K. Ting, Incorporating multi-delivery policy and quality assurance into economic production lot size problem. Journal of Scientific & Industrial Research, Vol. 68 (6), 2009, pp. 505-512.
32. S. W. Chiu, K.-K. Chen and H.-H. Chang, Mathematical method for expediting scrap-orrework decision making in EPQ model with failure in repair", Mathematical and Computational Applications, Vol. 13 (3), 2008, pp. 137-145.
33. Y.-S. P. Chiu, C.-Y. Tseng, W.-C. Liu and C.-K. Ting, Economic manufacturing quantity model with imperfect rework and random breakdown under abort/resume policy, P I Mech E Part B: Journal of Engineering Manufacture, Vol. 223 (2), 2009, pp. 183-194.
34. R. L. Rardin, Optimization in Operations Research. Prentice-Hall, New Jersey, 1998, pp. 739-741.
35. H.-D. Lin, Y.-S. P. Chiu, C.-K. Ting, A note on optimal replenishment policy for imperfect quality EMQ model with rework and backlogging. Computers and Mathematics with Applications, Vol. 56 (11), 2008, pp. 2819-2824.
36. P. H. Zipkin, Foundations of Inventory Management. McGraw-Hill, New York, 2000, pp. 50-66.