Abstract
This paper analyzes a lost sales (s, S) type perishable inventory system with varying ordering quantity under renewal demands. The items have constant hazard rates and the mean rate of replenishment is dependent on the order size. The techniques of semi-regenerative processes are applied to obtain the various operating characteristics. Cost optimization, which includes sensitivity analysis of various system parameters, is also discussed with numerical illustrations.
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References
Arivarignan, G. (1994). “Perishable Inventory System with Renewal Demands and (-r,S) Ordering Policy.” Proc. 3rd Ramanujan Sysmposium on Stochastic Processes and their Applications University-Madras, 211–220.
Cinlar, E. (1975). Stochastic Processes, Prentice Hall, Englewood Cliffs N.J.
Kalpakam, S. and G. Arivarignan. (1989). “(s,S) inventory systems with lost sales and Markov renewal demands.” Mathl Comput. Modelling 12, 1511–1520.
Kalpakam, S. and K.P. Sapna. (1994). “Continuous review (s,S) inventory system with random lifetimes and positive leadtimes.” Operations Research Letter 16, 115–119.
Kalpakam, S. and K.P. Sapna. (1995). “(S-1,S) perishable system with stochastic leadtimes.” Mathl. Comput. Modelling 21, 95–104.
Kalpakam, S. and K.P. Sapna. (1996a). “An (S-1,S) perishable inventory system with renewal demands.” Naval Researh Logistics 43, 129–142.
Kalpakam, S. and K.P. Sapna. (1996b). “An (s,S) perishable system with arbitrarily distributed leadtimes.” Opsearch 33, 1–19.
Kalpakam, S. and S. Shanthi. (1998). “A continuous review perishable system with positive leadtime.” International Journal of Management and Systems 14, 123–134.
Nahmias, S. (1982). “Perishable inventory theory, A review.” Operations Research 30, 680–708.
Pal, M. (1989). “The (S-1,S) inventory model for deteriorating items with exponential leadtime.” Calcutta statistical association bulletin 38, 149–150.
Pal, M. (1990). “An inventory model for deteriorating items when demand is random”, Calcutta Statistical Bulletin 39, 155–156.
Raafat, F. (1991). “Survey of Literature on Continuously Deteriorating Inventory Models.” Journal of Operational Research Society 42, 27–37.
Schmidt, C. P. and S. Nahmias. (1985). “(S-1,S) policies for perishable inventory.” Management Science 31, 719–728.
Srinivasan, S. K. and N. Ravichandran. (1988). “Analysis of (s,S) inventory system of decaying items.” Engineering Costs and Production Economics 15, 433–439.
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Kalpakam, S., Shanthi, S. A continuous review perishable system with renewal demands. Ann Oper Res 143, 211–225 (2006). https://doi.org/10.1007/s10479-006-7383-0
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DOI: https://doi.org/10.1007/s10479-006-7383-0