Stochastic Inventory System with Reneging of Customers from the Service Facilities

摘要

This paper analysis an (s, S) perishable inventory system with postponed demands with service facilities. We assume that customer arrive to the service according to Poisson process with parameter λ. In this system, there is a finite buffer whose capacity varies according to the inventory level at any given time. When the maximum buffer size is reached, further demands join a pool which has finite capacity M (<∞) with probability γ and with probability (1-γ) it is lost forever. When inventory level is larger than the number of customers in the buffer, an external demand can enter the buffer for service. A pooled customer is transferred to the buffer for service at a service completion epoch with probability p if the inventory exceeds s+1 and provided the number of customers in the buffer is less than the number items held in the inventory. It is assumed that initially the inventory level is S . When inventory level reaches s an order for replenishment is placed. The lead time is exponentially distributed with parameter β . When at least one customer is available in the buffer then reneging will be occurred with parameter We obtain the steady state analysis is made. Some performance measures are obtained and a few numerical illustrations are provided.