Publication Type : Journal Article
Publisher : Journal of Interdisciplinary Mathematics, Taylor & Francis
Source : Journal of Interdisciplinary Mathematics, Taylor & Francis, Volume 23, Issue 1, p.127–143 (2020)
Url : https://www.tandfonline.com/doi/abs/10.1080/09720502.2020.1721707
Keywords : (s, continuous review policy, Markov process, Optimization, S) inventory system, two servers
Campus : Amritapuri
School : School of Arts and Sciences
Department : Mathematics
Year : 2020
Abstract : We consider a two server stochastic inventory system under N-policy. Demand for the items occurs one at a time according to a Poisson process. Server1 is always available and Server2 is activated on the accumulation of N(>1) demands in the system. As soon as the services of all waiting demands are completed, server2 becomes idle and reactivate only on the accumulation of N units. Assume that service times of both servers are independent and non-identical exponential random variables. We derived the joint probability distribution of the waiting customers, server state and inventory level in the steady state and computed various system performance measures. A cost analysis is carried out and numerical illustrations are provided.
Cite this Research Publication : Dr. Usha Kumari P. V., “A stochastic inventory system with two modes of service under N-policy”, Journal of Interdisciplinary Mathematics, vol. 23, no. 1, pp. 127–143, 2020.