A single server perishable inventory system with N additional options for service
author
Abstract:
This article presents a perishable (s; S) inventory system under continuous review at a service facility in which a waiting hall for customers is of nite size M. The arrival instants of customers to the service station constitutes a Poisson process. The life time of each items is assumed to be exponential. All arriving customers demand the rst "essential" service, whereas only some of them demand the second "optional" service, and the second service is multi-optional. The joint probability distribution of the number of customers in the waiting hall and the inventory level is obtained for the steady state case. Some important system performance measures in the steady state are derived, and the long-run total expected cost rate is also calculated. We have derived the Laplace-Stieljes transforms of waiting time distribution of customers in the waiting hall. The results are illustrated numerically.
similar resources
A Perishable Inventory System with Repeated Customers and Server Interruptions
In this article, we present a continuous review perishable inventory systemwith a service facility. The service facility consists of a single server and a finite waiting room. If the arriving primary customer finds the waiting hall is empty and the server is idle, he immediately joins the service. The demanded items are issued by a server after some random time due to service on it. We assume t...
full textPerishable Inventory System with Server Interruptions, Multiple Server Vacations, and N Policy
This article presents a perishable inventory system under continuous review at a service facility in which a waiting area for customers is of finite size M . The authors assume that the replenishment of inventory is instantaneous. The items of inventory have exponential life times. It is assumed that demand for the commodity is of unit size. The service starts only when the customer level reach...
full textA Perishable Inventory System with Service Facilities and Negative Customers
We consider a continuous review perishable (s, S) inventory system with a service facility consisting of a waiting line of finite capacity and a single server. Two types of customers, ordinary and negative, arrive according to a Markovian Arrival Process (MAP). An ordinary customer joins the queue and a negative customer removes some ordinary customers from the queue. Unlike the conventional me...
full textPerishable Inventory System at Service Facilities with Multiple Server Vacations and Impatient Customers
This article presents a perishable inventory system under continuous review at a service facility in which a waiting area for customers is of finite size M. We assume that the replenishment of inventory is instantaneous. The items of inventory have exponential life times. It is assumed that demand for the commodity is of unit size. The arrivals of customers to the service station form a Poisson...
full textMarkov Process for Service Facility systems with perishable inventory and analysis of a single server queue with reneging - Stochastic Model
ABSTRACT In this paper, we develop a supply network model for a service facility system with perishable inventory (on hand) by considering a two dimensional stochastic process of the form (L, X) = 0 )); ( ), ( ( t t X t L , where L (t) is the level of the on hand inventory and X (t) is the number of customers at time t. The inter-arrival time to the service station is assumed to be expone...
full textMy Resources
Journal title
volume 2 issue 2
pages 187- 216
publication date 2015-05-01
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023