A production-inventory model with randomly changing environmental conditions

European Journal of Operational Research

Volumn 174, Issue 1, 2006, Pages 539-552

  Mohebbi, Esmail ^a  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

Inventory; Level crossings; Markov modulated processes; Random environments

Indexed keywords

MARKOV PROCESSES; MATHEMATICAL MODELS; OPERATIONS RESEARCH; PRODUCTION CONTROL;

LEVEL CROSSINGS; MARKOV-MODULATED PROCESSES; RANDOM ENVIRONMENTS;

INVENTORY CONTROL;

EID: 33845244136     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2004.12.014     Document Type: Article

References (28)

1. Arreola-Risa A., and DeCroix G.A. Inventory management under random supply disruptions and partial backorders. Naval Research Logistics 46 (1998) 687-703
2. Berg M., Posner M.J.M., and Zhao H. Production-inventory systems with unreliable machines. Operations Research 42 (1994) 111-118
3. Brill P.H., and Chaouch B.A. An EOQ model with random variations in demand. Management Science 41 (1995) 927-936
4. Brill P.H., and Posner M.J.M. The system-point method in exponential queues: A level crossing approach. Mathematics of Operations Research 6 (1981) 31-49
5. Chen F., and Song J.S. Optimal policies for multi-echelon problems with Markov-modulated demand. Operations Research 49 (2001) 26-234
6. Chen H., and Yao D.D. A fluid model for systems with random disruptions. Operations Research 40 (1992) S239-S247
7. Çinlar E. Introduction to stochastic processes (1975), Prentice-Hall, Englewood Cliffs, New Jersey
8. Erdem A.S., and Ozekici S. Inventory models with random yield in a random environment. International Journal of Production Economics 78 (2002) 239-253
9. Gullu R. Base stock policies for production/inventory problems with uncertain capacity levels. European Journal of Operational Research 105 (1998) 43-51
10. Gurler U., and Parlar M. An inventory problem with two randomly available suppliers. Operations Research 45 (1997) 904-918
11. Kaspi H., Kella O., and Perry D. Dam processes with state dependent batch sizes and intermittent production processes with state dependent rates. Queueing Systems 24 (1996) 37-57
12. Kella O., and Whitt W. A storage model with a two-state random environment. Operations Research 40 (1992) S257-S262
13. Kella O. Markov-modulated feedforward fluid networks. Queueing Systems 37 (2001) 141-161
14. Meyer R.R., Rothkopf M.H., and Smith S.A. Reliability and inventory in a production-storage system. Management Science 25 (1997) 799-807
15. Moinzadeh K., and Aggarwal P. Analysis of a production/inventory system subject to random disruptions. Management Science 43 (1997) 1577-1588
16. Mohebbi E. A replenishment model for the supply uncertainty problem. International Journal of Production Economics 87 (2004) 25-37
17. Neuts M.F. The M/M/1 queue with randomly varying arrival and service rates. Opsearch 15 (1978) 139-157
18. Noble B. Applied linear algebra (1969), Prentice-Hall, Englewood Cliffs, NJ
19. Ozekici S., and Parlar M. Inventory models with unreliable suppliers in a random environment. Annals of Operations Research 91 (1999) 123-136
20. Parlar M. Probabilistic analysis of renewal cycles: An application to a non-Markovian inventory problem with multiple objectives. Operations Research 48 (2000) 243-255
21. Parlar M., and Perry D. Optimal (Q, r, T) policies in deterministic and random yield models with uncertain future supply. European Journal of Operational Research 84 (1995) 431-443
22. Parthasarathy P.R., and Sharafali M. On the unutilized capacity of a production-storage system. Operations Research Letters 6 (1987) 233-238
23. Perry D., and Posner M.J.M. A mountain process with state dependent input and output and a correlated dam. Operations Research Letters 30 (2002) 245-251
24. Parbhu N.U., and Zhu Y. Markov-modulated queueing systems. Queueing Systems 5 (1989) 215-246
25. Sethi S., and Cheng F. Optimality of (s, S) policies in inventory models with Markovian demand. Operations Research 45 (1997) 931-939
26. Song J.S., and Zipkin P. Inventory control in a fluctuating demand environment. Operations Research 41 (1993) 351-370
27. Wang Y., and Gerchak Y. Periodic review production models with variable capacity, random yield, and uncertain demand. Management Science 42 (1996) 130-137
28. Wolff R.W. Poisson arrivals see time averages. Operations Research 30 (1982) 223-231