Optimal run time for EMQ model with backordering, failure-in- rework and breakdown happening in stock-piling time

WSEAS Transactions on Information Science and Applications

Volumn 5, Issue 4, 2008, Pages 475-486

  Chiu, Yuan Shyi Peter ^a   Wang, Shun Sheng ^a   Ting, Chia Kuan ^a   Chuang, Hsien Ju ^a   Lien, Yu Lung ^a  

^a CHAOYANG UNIVERSITY OF TECHNOLOGY   (Taiwan)

Author keywords

Backorder; Breakdown; Failure in rework; Manufacturing; Run time

Indexed keywords

COST ACCOUNTING; DISTRIBUTION OF GOODS; INDUSTRIAL RESEARCH; PILES; PLANNING; PRODUCTION CONTROL;

BACKORDER; BREAKDOWN; COST ANALYSIS; CYCLE LENGTH; ECONOMIC MANUFACTURING QUANTITY; EMQ MODELS; FAILURE-IN-REWORK; INVENTORY COSTING; LOT-SIZE; MACHINE BREAKDOWNS; MANUFACTURING; MATHEMATICAL MODELLING; NUMERICAL EXAMPLES; OVERALL COSTS; PRODUCTION SYSTEMS; RELIABILITY FACTORS; RENEWAL REWARD THEOREM; REPLENISHMENT POLICY; ROBUST PRODUCTION; RUN TIME;

COST BENEFIT ANALYSIS;

EID: 48849111365     PISSN: 17900832     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (36)

1. F.W. Harris, How many parts to make at once. Factory, The Magazine of Management, Vol. 10, 1913, pp. 135-136.
2. P.H. Zipkin, Foundations of Inventory Management. McGraw-Hill, New York, 2000.
3. E.A. Silver, D.F. Pyke and R. Peterson, Inventory Management and Production, Planning and Scheduling, John Wiley & Sons, New York, 1998.
4. S.W. Chiu, Optimization problem for EMQ model with backlog level 'constraint. WSEAS Transactions on Information Science & Applications, Vol. 4 (4), 2007 pp.687-691.
5. F. Chrysostomos and A. Vlachos. Optimal solution of linear machine layout problem using ant colony system. WSEAS Transactions on Information Science & Applications, Vol. 2 (6), 2005, pp.652-662.
6. Y-S.P. Chiu, F-T. Cheng, and C-K. Ting, Algebraic methods for optimizing EPQ model with rework and scrap. WSEAS Transactions on Systems, Vol. 6 (11), 2007, pp. 1319-1323.
7. A. Madureira and J. Santos, Proposal of multi-agent based model for dynamic scheduling in manufacturing. WSEAS Transactions on Information Science & Applications, Vol. 2 (5), 2005, pp.600-605.
8. T. Bielecki and P.R. Kumar, Optimality of zero-inventory policies for unreliable production facility, Operations Research, Vol. 36, 1988, pp.532-541.
9. T. Boone, R. Ganeshan, Y. Guo and J.K. Ord, The impact of imperfect processes on production run times. Decision Sciences, 31(4), 2000, pp.773-785.
10. 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.
11. 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.
12. T.K. Das and S. Sarkar, Optimal preventive maintenance in a production inventory system. IIE Transactions, Vol.31, 1999, pp.537-551.
13. 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.
14. M.J. Rosenblatt and H.L. Lee, Economic production cycles with imperfect production processes. IIE Transactions, Vol. 18, 1986, pp.48-55.
15. 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.
16. 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.
17. 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.
18. 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
19. Y-S.P Chiu, H-D. Lin, and F-T. Cheng, Optimal production lot sizing with backlogging, random defective rate, and rework derived without derivatives. P I Mech E Part B: Journal of Engineering Manufacture, Vol. 220(9), 2006, pp.1559-1563.
20. Y-S.P. Chiu, The effect of service level constraint on EPQ model with random defective rate. Mathematical Problems in Engineering, Vol. 2006 (Article ID 98502), 13 pages (doi:10.1155/:MPE/2006/98502).
21. 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.
22. 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.
23. H. Groenevelt, L. Pintelon and A. Seidmann, Production lot sizing with machine breakdowns. Management Science, Vol. 38, 1992, pp. 104-123.
24. 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.
25. K.J. Chung, Bounds for production lot sizing with machine breakdowns. Computers and Industrial Engineering, Vol. 32, 1997, pp. 139-144.
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. G.C. Lin and D.E. Kroll, Economic lot sizing for an imperfect production system subject to random breakdowns. Engineering Optimization, Vol. 38(1), 2006, pp.73-92.
29. 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.
30. 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.
31. S.W. Chiu, An optimization problem of manufacturing systems with stochastic machine breakdown and rework process. Applied Stochastic Models in Business and Industry, DOI:10.1002/asmb.699, 2008, (in Press).
32. Y-S.P. Chiu, S.W. Chiu, and H-C. Chao, Effect of shortage level constraint on finite production rate model with rework. Journal of Scientific & Industrial Research, Vol. 67 (2), 2008, pp.112-116.
33. R.L. Rardin, Optimization in Operations Research. Prentice-Hall, New Jersey, 1998.
34. F.S. Hillier and G.J. Lieberman, Introduction to Operations Research, McGraw Hill, New York, 2001.
35. S.W. Chiu, C-C. Shih, and Y-S.P. Chiu, A revised cost-benefit algorithm for solving ECTEP problem with defective materials in product structure diagram. P I Mech Eng Part B: Journal of Engineering Manufacture, Vol. 221 (3), 2007, pp.489-497.
36. S.W. Chiu, Y-S.P. Chiu, and C-C. Shih, Determining expedited time and cost of the end product with defective component parts using critical path method (CPM) and time-costing method. Journal of Scientific & Industrial Research, Vol. 65(9), 2006 pp.695-701.