Analysis of self service (s, S) inventory with general lead time and positive service time
by Anoop N. Nair; M.J. Jacob
International Journal of Operational Research (IJOR), Vol. 42, No. 1, 2021

Abstract: This paper deals with the analysis of (s, S) inventory with general lead time and positive service time in a self service environment. The time for serving the inventory is considered as the service time. Both the inter arrival times and service times are assumed to be exponential. Unsatisfied demands are lost. The transient and steady state analysis of such an inventory system are carried out. Explicit expressions for the Laplace transforms of the joint probability distributions of the number of demands and inventory size are obtained using supplementary variable technique. Important system characteristics and numerical results are also presented.

Online publication date: Tue, 21-Sep-2021

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