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Received March 16, 2019; Accepted September 17, 2019; October 14, 2019
Abstract. In this paper, we consider a (s,Q) inventory system consisting of two parallel queues in which arriving customers belong to any one of the two types such that high priority or low priority served by a single server. The service is given to the customers under threshold based priority scheme in which a threshold L (or control level) is fixed in the first queue. Our aim is to provide sufficient amount of service to low priority customers while providing the best possible service to high priority customers. At the end of each service (i.e., high/low priority), the server decides which queue is to be served next, according to the inventory level and threshold level in the system. For both queues, the arrivals are assumed to be from Poisson processes and the service times have exponentially distributed. The results are illustrated via numerical examples.
How to Cite this Article:
K. Lakshmanan, S. Padmasekaran, K. Jeganathan, A stochastic inventory system with a threshold based priority service, Communications in Optimization Theory, Vol. 2019 (2019), Article ID 16, pp. 1-23.