A deterministic multi product single machine EPQ model with backordering, scraped products, rework and interruption in manufacturing process

International Journal of Production Economics

Volumn 150, Issue , 2014, Pages 9-27

  Taleizadeh, Ata Allah ^a   Cárdenas Barrón, Leopoldo Eduardo ^b   Mohammadi, Babak ^c  

^a UNIVERSITY OF TEHRAN   (Iran)

^b SCHOOL OF ENGINEERING AND SCIENCES   (Mexico)

^c IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

Backordering; Economic production quantity; Inventory control; Rework; Scrap

Indexed keywords

BACKORDERING; DECISION VARIABLES; ECONOMIC PRODUCTION QUANTITY; EPQ INVENTORY MODELS; MANUFACTURING PROCESS; PRODUCTION CAPACITY; REWORK; SCRAP;

INVENTORY CONTROL; NUMERICAL METHODS;

INDUSTRIAL ECONOMICS;

EID: 84896692615     PISSN: 09255273     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijpe.2013.11.023     Document Type: Article

References (55)

1. K.R. Baker On Madigan's approach to the deterministic multi-product production and inventory problem Manage. Sci. 16 9 1970 636 638
2. M. Berg, M.J.M. Posner, and H. Zhao Production-inventory systems with unreliable machines Oper. Res. 42 1 1994 111 118
3. T. Bielecki, and P.R. Kumar Optimality of zero-inventory policies for unreliable manufacturing systems Oper. Res. 36 4 1988 532 541
4. E.E. Bomberger A dynamic programming approach to a lot size scheduling problem Manage. Sci. 12 11 1966 778 784
5. L.E. Cárdenas-Barrón Observation on: "Economic production quantity model for items with imperfect quality" [Int. J. Production Economics 64 (2000) 59-64] Int. J. Prod. Eco. 67 2 2000 (201-201)
6. L.E. Cárdenas-Barrón On optimal manufacturing batch size with rework process at single-stage production system Comput. Ind. Eng. J. 53 1 2007 196 198
7. L.E. Cárdenas-Barrón Optimal manufacturing batch size with rework in a single-stage production system - a simple derivation Comput. Ind. Eng. J. 55 4 2008 758 765
8. L.E. Cárdenas-Barrón Economic production quantity with rework process at a single-stage manufacturing system with planned backorders Comput. Ind. Eng. J. 57 3 2009 1105 1113
9. L.E. Cárdenas-Barrón On optimal batch sizing in a multi-stage production system with rework consideration Eur. J. Oper. Res. 196 3 2009 1238 1244
10. L.E. Cárdenas-Barrón, A.A. Taleizadeh, and G. Treviño-Garza An improved solution to replenishment lot size problem with discontinuous issuing policy and rework, and the multi-delivery policy into economic production lot size problem with partial rework Expert Syst. Appl. 39 18 2012 13540 13546
11. L.E. Cárdenas-Barrón, B. Sarkar, and G. Treviño-Garza Easy and improved algorithms to joint determination of the replenishment lot size and number of shipments for an EPQ model with rework Math. Comput. Appl. 18 2 2013 132 138
12. L.E. Cárdenas-Barrón, B. Sarkar, and G. Treviño-Garza An improved solution to the replenishment policy for the EMQ model with rework and multiple shipments Appl. Math. Modelling 37 1 2013 5549 5554
13. S. Chakrabarty, and N.V. Rao EBQ for a multi stage production system considering rework Opsearch 25 2 1988 75 88
14. W.M. Chan, R.N. Ibrahim, and P.B. Lochert A new EPQ model: integrating lower pricing, rework and reject situations Prod. Plann. Control 14 7 2003 588 595
15. T.C.E. Cheng An economic order quantity model with demand-dependent unit production cost and imperfect production processes IIE Trans. 23 1 1991 23 28
16. S.W. Chiu, and Y.S.P. Chiu Mathematical modeling for production system with backlogging and failure in repair J. Sci. Ind. Res. 65 6 2006 499 506
17. 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 Eur. J. Oper. Res. 180 2 2007 664 676
18. 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 Comput. Math. Appl. 59 2 2010 919 932
19. Y.S.P. Chiu, H.D. Lin, and H.H. Chang Mathematical modeling for solving manufacturing run time problem with defective rate and random machine breakdown Comput. Ind. Eng. 60 4 2011 576 584
20. S.W. Chiu, Y.S.P. Chiu, and J.C. Yang Combining an alternative multi-delivery policy into economic production lot size problem with partial rework Expert Syst. Appl. 39 3 2012 2578 2583
21. K.J. Chung Bounds for production lot sizing with machine breakdowns Comput. Ind. Eng. 32 1 1997 139 144
22. K.J. Chung Approximations to production lot sizing with machine breakdowns Comput. Oper. Res. 30 10 2003 1499 1507
23. K.J. Chung, C.C. Her, and S.D. Lin A two-warehouse inventory model with imperfect quality production processes Comput. Ind. Eng. 53 1 2009 193 197
24. S. Eilon Scheduling for batch production Prod. Eng. J. 36 1957 (549-570 and 582)
25. S.K. Goyal, and L.E. Cárdenas-Barrón Note on: economic production quantity model for items with imperfect quality-a practical approach Int. J. Prod. Eco. 77 1 2002 85 87
26. T. Gupta, and S. Chakraborty Looping in a multistage production system Int. J. Prod. Res. 22 2 1984 299 311
27. B. Haji, A. Haji, and A. Rahmati Tavakol Scheduling accumulated rework in a normal cycle: optimal batch production with minimum rework cycles J. Ind. Syst. Eng. 2 2 2008 236 249
28. Haji B., Haji A., Haji R., 2009. Optimal batch production with minimum rework cycles and constraint on accumulated defective units, Service Operations, Logistics and Informatics, SOLI '09. In: IEEE/INFORMS International Conference, pp. 633-638.
29. P.A. Hayek, and M.K. Salameh Production lot sizing with the reworking of imperfect quality items produced Prod. Plann. Control 12 6 2001 584 590
30. T.J. Hodgson Addendum to Stankard and Gupta's note on lot size scheduling Manage. Sci. 16 7 1970 514 517
31. K.L. Hou An EPQ model with setup cost and process quality as functions of capital expenditure Appl. Math. Modelling 31 1 2007 10 17
32. J.S. Hu, H. Zheng, C.Y. Guo, and Y.P. Ji Optimal production run length with imperfect production processes and backorder in fuzzy random environment Comput. Ind. Eng. 59 1 2010 9 15
33. S. Islam, and T.K. Roy A fuzzy EPQ model with flexibility and reliability consideration and demand dependent unit production cost under a space constraint: a fuzzy geometric programming approach Appl. Math. Comput. 176 2 2006 531 544
34. A.M.M. Jamal, B.R. Sarker, and S. Mondal Optimal manufacturing batch size with rework process at a single-stage production system Comput. Ind. Eng. 47 1 2004 77 89
35. M. Khan, M.Y. Jaber, A.L. Guiffrida, and S. Zolfaghari A review of the extensions of a modified EOQ model for imperfect quality items Int. J. Prod. Eco. 132 1 2011 1 12
36. H.L. Lee, M.J. Chandra, and V.J. Deleveaux Optimal batch size and investment in multistage production systems with scrap Prod. Plann. Control 8 6 1997 586 596
37. G.L. Liao, Y.H. Chen, and S.H. Sheu Optimal economic production quantity policy for imperfect process with imperfect repair and maintenance Eur. J. Oper. Res. 195 2 2009 348 357
38. N. Liu, Y. Kim, and H. Hwang An optimal operating policy for the production system with rework Comput. Ind. Eng. 56 3 2009 874 887
39. J.T. Madigan Scheduling a Multi-product single machine system for an infinite planning period Manage. Sci. 14 11 1968 713 719
40. J. Rogers A computational approach to the economic lot scheduling problem Manage. Sci. 4 3 1958 264 291
41. M.J. Rosenblatt, and H.L. Lee Economic production cycles with imperfect production processes IIE Trans. 18 1 1986 48 55
42. A. Roy, K. Maity, S. Kar, and M. Maiti A production-inventory model with remanufacturing for defective and usable items in fuzzy-environment Comput. Ind. Eng. 56 1 2009 87 96
43. S.J. Sadjadi, S.A. Yazdian, and K. Shahanaghi Optimal pricing, lot-sizing and marketing planning in a capacitated imperfect production system Comput. Ind. Eng. 62 1 2012 349 358
44. M.K. Salameh, and M.Y. Jaber Economic production quantity model for items with imperfect quality Int. J. Prod. Eco. 64 1 2000 59 64
45. B.R. Sarker, A.M.M. Jamal, and S. Mondal Optimal batch sizing in a process at multi-stage production system with network consideration Eur. J. Oper. Res. 184 3 2008 915 929
46. M.F. Stankard, and S.K. Gupta A note on Bomberger's approach to lot size scheduling: Heuristic proposed Mange. Sci. 15 7 1969 449 452
47. A.A. Taleizadeh, A.A. Najafi, and S.T.A. Niaki Economic production quantity model with scraped items and limited production capacity Sci. Iran. 17 1 2010 58 69
48. A.A. Taleizadeh, S.T.A. Niaki, and A.A. Najafi Multi-product single-machine production system with stochastic scrapped production rate, partial backordering and service level constraint J. Comput. Appl. Math. 233 8 2010 1834 1849
49. A.A. Taleizadeh, H.M. Wee, and S.J. Sadjadi Multi-product production quantity model with repair failure and partial backordering Comput. Ind. Eng. 59 1 2010 45 54
50. A.A. Taleizadeh, L.E. Cárdenas-Barrón, J. Biabani, and R. Nikousokhan Multi products single machine EPQ model with immediate rework process Int. J. Ind. Eng. Comput. 3 2 2012 93 102
51. A.A. Taleizadeh, H.M. Wee, and S.G. Jalali-Naini Economic production quantity model with repair failure and limited capacity Appl. Math. Modeling 37 5 2013 2765 2774
52. E.W. Taft The most economical production lot Iron Age 101 1918 1410 1412
53. X. Wang, and W. Tang Optimal production run length in deteriorating production processes with fuzzy elapsed time Comput. Ind. Eng. 56 4 2009 1627 1632
54. H.M. Wee, W.T. Wang, and L.E. Cárdenas-Barrón An alternative analysis and solution procedure for the EPQ model with rework process at a single-stage manufacturing system with planned backorders Comput. Ind. Eng. J. 64 2 2013 748 755
55. M. Widmer, and P. Solot Do not forget the breakdowns and the maintenance operations in FMS design problems Int. J. Prod. Res. 28 2 1990 421 430