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Continuous review (s, Q) inventory system with random lifetime and two demand classes

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  • Umay Uzunoglu Kocer

    (Dokuz Eylul University)

  • Bahar Yalcin

    (Dokuz Eylul University)

Abstract

This paper examines a continuous review inventory model for perishable items with two demand classes. Demands for both classes occur according to Poisson process. The items in inventory are perishable products and have exponential lifetimes. The time after placing an order is an exponential random variable. When the on-hand inventory drops to pre-specified level s, only the priority customer demands are met whereas the demands from ordinary customers are lost. And also, the demand occurring stock-out periods are lost. The inventory system is characterized by continuous-time Markov process and steady-state probabilities are derived. The expected cost function is formulated and a numerical study is provided for optimization.

Suggested Citation

  • Umay Uzunoglu Kocer & Bahar Yalcin, 2020. "Continuous review (s, Q) inventory system with random lifetime and two demand classes," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 104-118, March.
  • Handle: RePEc:spr:opsear:v:57:y:2020:i:1:d:10.1007_s12597-019-00393-0
    DOI: 10.1007/s12597-019-00393-0
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    1. K. Sapna Isotupa, 2015. "Cost analysis of an (S−1,S) inventory system with two demand classes and rationing," Annals of Operations Research, Springer, vol. 233(1), pages 411-421, October.
    2. Haijema, René, 2013. "A new class of stock-level dependent ordering policies for perishables with a short maximum shelf life," International Journal of Production Economics, Elsevier, vol. 143(2), pages 434-439.
    3. René Haijema & Jan Wal & Nico M. Dijk, 2005. "Blood Platelet Production: a multi-type perishable inventory problem," Operations Research Proceedings, in: Hein Fleuren & Dick Hertog & Peter Kort (ed.), Operations Research Proceedings 2004, pages 84-92, Springer.
    4. Williams, Craig L. & Patuwo, B. Eddy, 1999. "A perishable inventory model with positive order lead times," European Journal of Operational Research, Elsevier, vol. 116(2), pages 352-373, July.
    5. N. Saranya & A. Shophia Lawrence, 2019. "A stochastic inventory system with replacement of perishable items," OPSEARCH, Springer;Operational Research Society of India, vol. 56(2), pages 563-582, June.
    6. Liming Liu & Zhaotong Lian, 1999. "(s, S) Continuous Review Models for Products with Fixed Lifetimes," Operations Research, INFORMS, vol. 47(1), pages 150-158, February.
    7. Ravichandran, N., 1995. "Stochastic analysis of a continuous review perishable inventory system with positive lead time and Poisson demand," European Journal of Operational Research, Elsevier, vol. 84(2), pages 444-457, July.
    8. P Melchiors & R Dekker & M J Kleijn, 2000. "Inventory rationing in an (s, Q) inventory model with lost sales and two demand classes," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(1), pages 111-122, January.
    9. K. Jeganathan & J. Kathiresan & N. Anbazhagan, 2016. "A retrial inventory system with priority customers and second optional service," OPSEARCH, Springer;Operational Research Society of India, vol. 53(4), pages 808-834, December.
    10. S. Kalpakam & S. Shanthi, 2006. "A continuous review perishable system with renewal demands," Annals of Operations Research, Springer, vol. 143(1), pages 211-225, March.
    11. Lian, Zhaotong & Liu, Xiaoming & Zhao, Ning, 2009. "A perishable inventory model with Markovian renewal demands," International Journal of Production Economics, Elsevier, vol. 121(1), pages 176-182, September.
    12. Steven Nahmias & W. Steven Demmy, 1981. "Operating Characteristics of an Inventory System with Rationing," Management Science, INFORMS, vol. 27(11), pages 1236-1245, November.
    13. Arthur F. Veinott, 1965. "Optimal Policy in a Dynamic, Single Product, Nonstationary Inventory Model with Several Demand Classes," Operations Research, INFORMS, vol. 13(5), pages 761-778, October.
    14. Zhao, Ning & Lian, Zhaotong, 2011. "A queueing-inventory system with two classes of customers," International Journal of Production Economics, Elsevier, vol. 129(1), pages 225-231, January.
    15. Liu, Mingwu & Feng, Mengying & Wong, Chee Yew, 2014. "Flexible service policies for a Markov inventory system with two demand classes," International Journal of Production Economics, Elsevier, vol. 151(C), pages 180-185.
    16. P. Escalona & F. Ordóñez & I. Kauak, 2017. "Critical level rationing in inventory systems with continuously distributed demand," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(1), pages 273-301, January.
    17. Prem Vrat & Rachita Gupta & Aman Bhatnagar & Devendra Kumar Pathak & Vijayta Fulzele, 2018. "Literature review analytics (LRA) on sustainable cold-chain for perishable food products: research trends and future directions," OPSEARCH, Springer;Operational Research Society of India, vol. 55(3), pages 601-627, November.
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