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Stochastic Perishable Inventory Control in a Service Facility System Maintaining Inventory for Service : Semi Markov Decision Problem
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mugesh, R. Krishnakumar, Sowmyanarayanan Elango, C. Elango C. |
| Copyright Year | 2017 |
| Abstract | In this article we address the problem of optimally controlling the perishable inventory replenishment in a service facility system keeping inventory for service completion. We consider a finite service facility system having finite waiting space with Poisson arrivals and exponentially distributed service times and life time of items. For the given values of maximum inventory and waiting space capacity, we determine the order quantities at various instance of time so that the long run expected cost rate is minimized. The problem is modeled as a semi –Markov Decision Problem. We prove the existence of a stationary optimal policy and solve it by employing LP technique. Numerical example for different instances is provided to get insight into the system behavior. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.ripublication.com/ijcamspl17/ijcamv12n1spl_45.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |