• Dr. Sushant Pandey

In this paper, we address the problem of Ordering policy in retrial service facility system with inventory. We consider a finite source (N) demand generation system and unsatisfied demand enter an finite orbit for retrial. Arrival of demands to the system is assumed to follows a Poisson Process and service times are assumed to follows an exponential distribution. Let the maximum inventory S and (s,S) policy is adopted for replenishment. The system is formulated as Semi-Markov Decision Process and we find the controlling the inventory ordering policy implemented at each instant of time for a given inventory capacity S. Linear Programming method is implemented with the criterion minimizing the long-run expected cost rate. Numerical examples is provided to establish the result obtained.

Inventory control, Service facility, Markov Decision Process, LPP and Policy iteration expect cost rate criteria.

"Inventory Management with Finite Position in Queue: Semi MDP", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.4, Issue 4, page no.740-748, April-2017, Available :http://www.jetir.org/papers/JETIR1704138.pdf

"Inventory Management with Finite Position in Queue: Semi MDP", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.4, Issue 4, page no. pp740-748, April-2017, Available at : http://www.jetir.org/papers/JETIR1704138.pdf