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A Perishable Inventory System with Repeated Customers and Server Interruptions |
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PP: 31-41 |
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Author(s) |
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K. Jeganathan,
C. Periyasamy,
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Abstract |
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| In this article, we present a continuous review perishable inventory system with a service facility. The service facility consists
of a single server and a finite waiting room. If the arriving primary customer finds the waiting hall is empty and the server is idle, he
immediately joins the service. The demanded items are issued by a server after some random time due to service on it. We assume that
the service may interrupted due to some physical phenomena and the service resumes after repair. An arriving primary customer finds
the waiting room is full is permitted to enter into orbit otherwise the customer waits for his service in the waiting hall. The customers in
the orbit are called repeated customers and they retry for their service after some random time. The inventory is replenished according
to an (s;S) ordering policy. 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. |
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