Paper
Perishable Inventory Model with Two Heterogeneous Servers Including One with Multiple Vacations and Retrial Customers
- Authors:
- V.S.S. Yadavalli; Jeganathan Kathirvel
- Abstract
- In this paper, a continuous review perishable inventory system with a service facility having two heterogeneous servers (henceforth, referred to as Server 1 and Server 2) was considered in which Server 2 was always available while Server 1 went on vacation when the inventory level was less than or equal to one. The individual customer was issued a demanded item after a random service time, which was distributed as negative exponential. The life time of each commodity was assumed to be exponential. The inventory was replenished according to a (s, Q) control policy and the replenishing times were assumed to be exponentially distributed. At the end of a vacation period, service began if the inventory level was more than one in the system. Otherwise, the server took another vacation immediately and continued in the same method until at least two items were found to be in the system upon returning from a vacation. Any arriving primary customers who found the waiting room full were queued in orbit. The inter-retrial times were exponentially distributed. The joint probability distribution of the number of customers in the waiting room, the number of customers in orbit, the status of the servers, and the inventory level were obtained for the steady state case. Some important system performance measures in the steady state were derived, and the long-run total expected cost rate was also calculated. The results were illustrated numerically.
- Keywords
- Control Policy; Inventory with Service Time; Perishable; Multiple Vacations; Markov Process; Heterogeneous Servers
- StartPage
- 10
- EndPage
- 34
- Doi
- 10.18005/JCSE0301002