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A Retrial Inventory System with Impatient Customers |
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PP: 637-650 |
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Author(s) |
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V. S. S. Yadavalli,
N. Anbazhaga,
K. Jeganathan,
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Abstract |
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| This article presents a stochastic inventory system under continuous review at a service facility consisting of a finite waiting
room and a single server, in which two types of customers arrive in Poisson processes with arrival rates l1 for high priority and l2 for
low priority customers. The low priority customers arrive only for repair. The inventory is replenished according to an (s, S) policy and
the replenishing times are assumed to be exponential. The service times follow exponential distributions with parameters m1 and m2
for high and low priority customers respectively. Retrial and impatience are introduced for low priority customers only. The orbiting
customers independently renege the system after an exponentially distributed time with parameter a > 0. The orbiting customers
compete for service by sending signals that are exponentially distributed. The joint probability distribution of the number of customers
in the waiting area, the number of customers in the orbit and the inventory level is obtained for the steady state case. Some important
system performance measures in the steady state are derived. Several numerical examples are presented to illustrate the effect of the
system parameters and costs on these measures. |
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