Combining a maintenance center M/M/c/m queue into the economic production quantity model with stochastic machine breakdowns and repair

Computers and Industrial Engineering

Volumn 63, Issue 4, 2012, Pages 864-874

  Sabri Laghaie, Kamyar ^a   Mansouri, Mostafa ^a   Motaghedi Larijani, Arash ^a   Jalali Naini, Gholamreza ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

Economic Production Quantity (EPQ) model; Maintenance; Optimum production cycle; Queuing system

Indexed keywords

BREAK DOWN; BROKEN DOWN; DEMAND RATES; DIRECT SEARCH METHODS; ECONOMIC PRODUCTION QUANTITY; ECONOMIC PRODUCTION QUANTITY MODELS; IDENTICAL MACHINES; OPTIMAL PRODUCTION; OPTIMUM NUMBER; PRODUCTION CYCLE; PRODUCTION RATES; PRODUCTION SYSTEM; QUEUING SYSTEMS; STEEPEST DESCENT; STOCHASTIC MACHINE BREAKDOWN; WAITING-TIME;

MAINTENANCE; POISSON DISTRIBUTION; QUEUEING THEORY; STOCHASTIC MODELS;

REPAIR;

EID: 84868200621     PISSN: 03608352     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cie.2012.05.008     Document Type: Article

References (28)

1. N.E. Abboud A simple approximation of the EMQ model with Poisson machine failures Production Planning & Control 8 1997 385 397 (Pubitemid 127647930)
2. N.E. Abboud A discrete-time Markov production-inventory model with machine breakdowns Computers & Industrial Engineering 39 2001 95 107 (Pubitemid 32263383)
3. K. Chen, Y.P. Chiu, and C. Ting Producer's replenishment policy for an EPQ model with rework and machine failure taking place in backorder reloading time WSEAS Transactions on Mathematics 9 2010 223 233
4. F.-T. Cheng, H.-H. Chang, and S.W. Chiu Economic production quantity model with backordering, rework and machine failure taking place in stock piling time WSEAS Transactions on Information Science and Applications 7 2010 463 473
5. S.W. Chiu Robust planning in optimization for production system subject to random machine breakdown and failure in rework Computers and Operations Research 37 2010 899 908
6. 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 180 2007 664 676 (Pubitemid 46199072)
7. 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 2010 919 932
8. 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 Computers & Industrial Engineering 60 2011 576 584
9. K.J. Chung Bounds for production lot sizing with machine breakdowns Computers & Industrial Engineering 32 1997 139 144
10. K.J. Chung Approximations to production lot sizing with machine breakdowns Computers & Operations Research 30 2003 1499 1507
11. B.C. Giri, and T. Dohi Exact formulation of stochastic EMQ model for an unreliable production system Journal of the Operational Research Society 56 2005 563 575 (Pubitemid 40567542)
12. H. Groenvelt, L. Pintelon, and A. Seidmann Production lot sizing with machine breakdowns Management Science 38 1992 104 123 (Pubitemid 23590449)
13. H. Groenvelt, L. Pintelon, and A. Seidmann Production batching with machine breakdowns and safety stocks Operations Research 40 1992 959 971 (Pubitemid 23581842)
14. W.J. Hopp, N. Nati, and P.C. Jones Optimal inventory control in a production flow system with failure International Journal of Production Research 27 1989 1367 1384
15. C.H. Kim, and Y. Hong An extended EMQ model for a failure prone machine with general lifetime distribution International Journal of Production Economics 49 1997 215 223 (Pubitemid 127412309)
16. C.H. Kim, and Y. Hong An optimal run length in deteriorating production processes International Journal of Production Economics 58 1999 183 189
17. H. Kuhn A dynamic lot sizing model with exponential machine breakdowns European Journal of Operational Research 100 1997 514 536 (Pubitemid 127392374)
18. S.D. Lee, and J.M. Rung Production lot sizing in failure prone two-state serial systems European Journal of Operational Research 123 2000 42 60 (Pubitemid 30575851)
19. G.-L. Liao, and S.-H. Sheu Economic production quantity model for randomly failing production process with minimal repair and imperfect maintenance International Journal of Production Economics 130 2011 118 124
20. G.C. Lin, and D.C. Gong On a production-inventory system of deteriorating items subject to random machine breakdowns with a fixed repair time Mathematical and Computer Modeling 43 2006 920 932
21. B. Liu, and J. Cao Analysis of a production-inventory system with machine breakdowns and shutdowns Computers & Operations Research 26 1999 73 91 (Pubitemid 29346488)
22. K. Moinzadeh, and P. Aggarwal Analysis of a production/inventory system subject to random disruptions Management Science 43 1997 1577 1588 (Pubitemid 127606213)
23. M.J.M. Posner, and M. Berge Analysis of a production-inventory system with unreliable production facility Operations Research Letter 8 1989 339 345 (Pubitemid 20667542)
24. C.K. Ting, Y.-S.P. Chiu, and C.C.H. Chan Optimal lot sizing with scrap and random breakdown occurring in backorder replenishing period Mathematical & Computational Applications 16 2011 329 339
25. Tse, E.; Makis, V. (1994). Optimization of the lot size and the time to replacement in a production system subject to random failure. In Proceedings of the third international conference on automation technology (Vol. 4, pp. 163-169).
26. K.H. Wang, W.L. Chen, and D.Y. Yang Optimal management of the machine repair problem with working vacation: Newton's method Journal of Computational and Applied Mathematics 233 2009 449 458
27. Widyadana, G. A.; Wee, H. M. (2009). Economic Production Quantity (EPQ) deteriorating inventory model with machine breakdown and stochastic repair time. In IEEE international conference (pp. 548-552).
28. J.W. Wong Response time distribution of the M/M/m/N queueing model Operations Research 27 1979 1196 1202 (Pubitemid 10443313)