Replenishment lot size and number of shipments for EPQ model derived without derivatives

Mathematical and Computational Applications

Volumn 16, Issue 3, 2011, Pages 753-760

  Chen, Kuang Ku ^a   Chiu, Singa Wang ^b  

^a NATIONAL CHANGHUA UNIVERSITY OF EDUCATION   (Taiwan)

^b CHAOYANG UNIVERSITY OF TECHNOLOGY   (Taiwan)

Author keywords

Algebraic approach; EPQ model; Multiple shipments; Random defective rate; Replenishment lot size; Rework

Indexed keywords

ALGEBRA; CALCULATIONS; COST FUNCTIONS; DEFECTS; DIFFERENTIATION (CALCULUS);

ALGEBRAIC APPROACHES; EPQ MODELS; MULTIPLE SHIPMENTS; RANDOM DEFECTIVE RATE; REPLENISHMENT LOT SIZES; REWORK;

SHIPS;

EID: 79953318395     PISSN: 1300686X     EISSN: None     Source Type: Journal    
DOI: 10.3390/mca16030753     Document Type: Article

References (25)

1. R. J. Tersine, Principles of Inventory and Materials Management. PTR Prentice- Hall, New Jersey, 121-129, 1994.
2. E. A. Silver, D. F. Pyke, and R. Peterson, Inventory Management and Production Planning and Scheduling, John Wiley & Sons, Inc., New York, 151-172, 1998.
3. S. K. Goyal, Integrated Inventory Model for a Single Supplier - Single Customer Problem, International Journal of Production Research 15, 107-111, 1977.
4. A. Banerjee, A joint economic-lot-size model for purchaser and vendor, Decision Sciences 17, 3, 292-311, 1986.
5. L. Lu, A one-vendor multi-buyer integrated inventory model, European Journal of Operational Research 81, 312-323, 1995.
6. R. A. Sarker and L. R. Khan, Optimal batch size for a production system operating under periodic delivery policy, Computers and Industrial Engineering 37, 711-730, 1999.
7. P. C. Yang and H. M. Wee, A single-vendor and multiple-buyers production- inventory policy for a deteriorating item, European Journal of Operational Research 143, 3, 570-581, 2002.
8. H. Siajadi, R. N. Ibrahim, and P. B. Lochert, Joint economic lot size in distribution system with multiple shipment policy, International Journal of Production Economics, 102(2), 302-316, 2006.
9. M. J. Rosenblatt and H. L. Lee, Economic production cycles with imperfect production processes, IIE Transactions 18, 48-55, 1986.
10. T. C. E. Cheng, An economic order quantity model with demand-dependent unit production cost and imperfect production processes, IIE Transactions, 23, 1991, 23-28. (Pubitemid 21651734)
11. K. Moinzadeh and P. Aggarwal, Analysis of a production/inventory system subject to random disruptions, Management Science 43, 1577-1588, 1997. (Pubitemid 127606213)
12. M. A. Rahim and M. Ben-Daya, Joint determination of production quantity, inspection schedule and quality control for imperfect process with deteriorating products, Journal of the Operational Research Society 52, 1370-1378, 2001. (Pubitemid 33128273)
13. Y-S. P. Chiu, S. W. Chiu, and H-D. Lin, Solving an EPQ model with rework and service level constraint, Mathematical & Computational Applications, 11(1), 75-84, 2006. (Pubitemid 43143818)
14. T. Dohi, N. Kaio, and S. Osaki, Minimal repair policies for an economic manufacturing process, Journal of Quality in Maintenance Engineering 4, 248-262, 1998.
15. Y. P. Chiu, Determining the optimal lot size for the finite production model with random defective rate, the rework process, and backlogging, Engineering Optimization 35, 427-437, 2003.
16. A. M. M. Jamal, B. R. Sarker, and S. Mondal, Optimal manufacturing batch size with rework process at a single-stage production system, Computers & Industrial Engineering 47, 77-89, 2004.
17. S. W. Chiu and Y-S. P. Chiu, Mathematical modeling for production system with backlogging and failure in repair, Journal of Scientific & Industrial Research, 65, 499-506, 2006. (Pubitemid 43942050)
18. 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 223, 2, 183-194, 2009.
19. G. C. Lin and D. E. Kroll, Economic lot sizing for an imperfect production system subject to random breakdowns, Engineering Optimization 38, 73-92, 2006. (Pubitemid 43065364)
20. Y-S. P. Chiu, K-K. Chen, F-T. Cheng, and M-F. Wu, Optimization of the finite production rate model with scrap, rework and stochastic machine breakdown, Computers and Mathematics with Applications, 59(2), 919-932, 2010.
21. Y-S. P. Chiu and C-K. Ting, A note on "Determining the optimal run time for EPQ model with scrap, rework, and stochastic breakdowns?, European Journal of Operational Research, 201(2), 641-643, 2010.
22. S. W. Chiu, D-C. Gong, C-L. Chiu, and C-L. Chung, Joint determination of the production lot size and number of shipments for EPQ model with rework, Mathematical and Computational Applications, 16(1), 2010 (article in press).
23. R. W. Grubbström and A. Erdem, The EOQ with backlogging derived without derivatives, International Journal of Production Economics, 59, 529-530, 1999.
24. L. E. Cárdenas-Barrón, The economic production quantity (EPQ) with shortage derived algebraically, International Journal of Production Economics, 70, 289-292, 2001. (Pubitemid 32272157)
25. S. W. Chiu, C-B. Cheng, M-F. Wu, and J-C. Yang, An algebraic approach for determining optimal lot size for EPQ model with rework process, Mathematical and Computational Applications, 15(3), 364-370, 2010.