Retrial inventory system with negative customers and service interruptions

In this paper, we consider a single server queueing system wherein demands arrive according to Poisson process, each demanding exactly one unit of inventory item. The operating policy is ( s , S ) policy in which an order is placed for a quantity up to S whenever the inventory level falls to s . The...

Full description

Saved in:
Bibliographic Details
Published in:Opsearch 2015-06, Vol.52 (2), p.212-224
Main Authors: Vijaya Laxmi, P., Soujanya, M. L.
Format: Article
Language:English
Subjects:
Application Article
Business and Management
Cost analysis
Customer services
Demand
Inventories
Inventory management
Management
Mathematical models
Mathematics
Operations research
Operations Research/Decision Theory
Policies
Queuing theory
Servers
Steady state
Stockpiling
Studies
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we consider a single server queueing system wherein demands arrive according to Poisson process, each demanding exactly one unit of inventory item. The operating policy is ( s , S ) policy in which an order is placed for a quantity up to S whenever the inventory level falls to s . The ordered items are received after a random time which is exponentially distributed. The service may be interrupted according to Poisson process in which case it restarts after an exponentially distributed time. The demands that occur during the server breakdown period or stock-out period may turn out to be ordinary or negative and they enter into the orbit of infinite size. These demands retry after a random time, which is again exponentially distributed. Matrix geometric solution is obtained for the steady state distribution of the model. Various performance measures and cost analysis are shown with numerical results.
ISSN:0030-3887
0975-0320
DOI:10.1007/s12597-014-0181-6