Two-Commodity Inventory System for Base-Stock Policy with Service Facility

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Abstract

This article considers a two-commodity continuous review inventory system at a service facility, wherein an item demanded by a customer is issued after performing service on the item. The service facility is assumed to have a finite waiting hall. The arrival time points of customers form a Poisson process. A customer with probability p and a negative customer with probability q = ( l – p ) , ( 0 ≤ p ≤ l ) .An ordinary customer, on arrival, joins the queue and the negative customer does not join the queue and takes away one waiting customer if any. The life time of each item and service time are assumed to have independent exponential distribution. The joint probability distribution of the number of customers in the system and the inventory level is obtained in the steady state. Various system performance measures in the steady state are derived. The results are illustrated numerically.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Anbazhagan, N, Dr. Gomathi, Jeganathan. K.. 2012. "Two-Commodity Inventory System for Base-Stock Policy with Service Facility". Global Journal of Science Frontier Research, Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F1).

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-C Classification FOR Code: 150205
Version of record

v1.2

Issue date
December 10, 2012

Language
English
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Two-Commodity Inventory System for Base-Stock Policy with Service Facility

Anbazhagan, N
Anbazhagan, N Alagappa University
Dr. Gomathi
Dr. Gomathi
Jeganathan. K.
Jeganathan. K.