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A note on a production control model for a facility with limited storage capacity in a random environment

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  • Mohebbi, E.

Abstract

This note presents an extension of our earlier paper on a production-inventory system with limited storage capacity in a multi-state random environment [i.e., E. Mohebbi, A production-inventory model with randomly changing environmental conditions, Eur. J Res. 174 (2006) 539-552]. More specifically, it assumes that the production rate as well as the occurrence rate and batch sizes of a compound Poisson demand stream are influenced by the state of a continuous-time homogeneous Markov chain representing the random environment. We present an adaptation of the system-point method of level crossings which yields the limiting distribution of inventory level (stock-on-hand) for a two-parameter production control policy when stockouts are lost.

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  • Mohebbi, E., 2008. "A note on a production control model for a facility with limited storage capacity in a random environment," European Journal of Operational Research, Elsevier, vol. 190(2), pages 562-570, October.
    • Handle: RePEc:eee:ejores:v:190:y:2008:i:2:p:562-570
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    1. Suresh P. Sethi & Feng Cheng, 1997. "Optimality of ( s , S ) Policies in Inventory Models with Markovian Demand," Operations Research, INFORMS, vol. 45(6), pages 931-939, December.
    2. Harry Groenevelt & Liliane Pintelon & Abraham Seidmann, 1992. "Production Lot Sizing with Machine Breakdowns," Management Science, INFORMS, vol. 38(1), pages 104-123, January.
    3. Offer Kella & Ward Whitt, 1992. "A Storage Model with a Two-State Random Environment," Operations Research, INFORMS, vol. 40(3-supplem), pages 257-262, June.
    4. Jing-Sheng Song & Paul Zipkin, 1993. "Inventory Control in a Fluctuating Demand Environment," Operations Research, INFORMS, vol. 41(2), pages 351-370, April.
    5. Ronald W. Wolff, 1982. "Poisson Arrivals See Time Averages," Operations Research, INFORMS, vol. 30(2), pages 223-231, April.
    6. Mohebbi, Esmail, 2006. "A production-inventory model with randomly changing environmental conditions," European Journal of Operational Research, Elsevier, vol. 174(1), pages 539-552, October.
    7. Hong Chen & David D. Yao, 1992. "A Fluid Model for Systems with Random Disruptions," Operations Research, INFORMS, vol. 40(3-supplem), pages 239-247, June.
    8. Kamran Moinzadeh & Prabhu Aggarwal, 1997. "Analysis of a Production/Inventory System Subject to Random Disruptions," Management Science, INFORMS, vol. 43(11), pages 1577-1588, November.
    9. Bardia Kamrad & Ricardo Ernst, 2001. "An Economic Model for Evaluating Mining and Manufacturing Ventures with Output Yield Uncertainty," Operations Research, INFORMS, vol. 49(5), pages 690-699, October.
    10. Kevin B. Hendricks & Vinod R. Singhal, 2005. "Association Between Supply Chain Glitches and Operating Performance," Management Science, INFORMS, vol. 51(5), pages 695-711, May.
    11. Harry Groenevelt & Liliane Pintelon & Abraham Seidmann, 1992. "Production Batching with Machine Breakdowns and Safety Stocks," Operations Research, INFORMS, vol. 40(5), pages 959-971, October.
    12. P. H. Brill & M. J. M. Posner, 1981. "The System Point Method in Exponential Queues: A Level Crossing Approach," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 31-49, February.
    13. Percy H. Brill & Ben A. Chaouch, 1995. "An EOQ Model with Random Variations in Demand," Management Science, INFORMS, vol. 41(5), pages 927-936, May.
    14. Itoh, Takeshi & Ishii, Hiroaki & Nanseki, Teruaki, 2003. "A model of crop planning under uncertainty in agricultural management," International Journal of Production Economics, Elsevier, vol. 81(1), pages 555-558, January.
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    1. Paul, Sanjoy Kumar & Sarker, Ruhul & Essam, Daryl, 2014. "Managing real-time demand fluctuation under a supplier–retailer coordinated system," International Journal of Production Economics, Elsevier, vol. 158(C), pages 231-243.

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