Abstract
In the analysis of continuous review inventory systems with lost sales, all the models studied so far impose the restriction s < S-s or s = S-l to make the analysis tractable.This paper deals with a general lost sales inventory system with renewal demands and exponential lead times without any condition on the values of s and S.The inventory level distribution and the mean reorder and shortage rates are obtained. A computational procedure to calculate the various limiting values along with numerical illustration is provided.
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Reference
Archibald B.C..Continuous Review (s, S) Policies with Lost Sales, Mgmt.Sci., 27, 1171–1177, 1981.
Cinlar E., Introduction to Stochastic Processes, Prentice Hall, Englewood Cliffs, N.J., 1975.
Feeney G.J. and Sherbrooke C., The (s-l, s) Inventory Policy under Compound Poisson Demand, Mgmt.Sci., 12, 391–411, 1966.
Hadley G. and Whitin T.M., Analysis of Inventory Systems, Prentice Hall, Englewood Cliffs, N.J., 1963.0
S. Kalpakam and G. Arivarignan, The (S-1, S) Inventory System with Lost Sales, Proceedings of the ICMMST, Madras, India, 205–212, 1988
S. Kalpakam and G. Arivarignan, The (s, S) Inventory System with Lost Sales and Markov Renewal Demands, Mathl. Comput. Modelling, 12, 1511–1520, 1989
Rao C.R., Linear Statistical Inference and its Applications, Second edition, John Wiley and Sons, New York, 1983
Smith A.S., Optimal Inventories for an (S-1, S) System With No Backorders Mgmt. Sci., 23, 522–528, 1977.
Srinivasan S.K., Stochastic Point Processes and their Applications, Griffin, London, 1974.
Srinivsan S.K., General Analysis of s-S Inventory Systems with Random Lead Times and Unit Demands, J.Math.Phy.Sci., 13, 107–129, 1979.
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© 1991 Springer-Verlag Berlin Heidelberg
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Kalpakam, S., Arivarignan, G. (1991). A Lost Sales Inventory System with Multiple Reorder Levels. In: Beckmann, M.J., Gopalan, M.N., Subramanian, R. (eds) Stochastic Processes and their Applications. Lecture Notes in Economics and Mathematical Systems, vol 370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58201-1_20
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DOI: https://doi.org/10.1007/978-3-642-58201-1_20
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