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Two Server (s, S) Inventory System with Positive Service Time, Positive Lead Time, Retrial Customers and Negative Arrivals

by Hannah Revathy. P, Muthu Ganapathi Subramanian
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 62 - Number 10
Year of Publication: 2013
Authors: Hannah Revathy. P, Muthu Ganapathi Subramanian
10.5120/10115-4784

Hannah Revathy. P, Muthu Ganapathi Subramanian . Two Server (s, S) Inventory System with Positive Service Time, Positive Lead Time, Retrial Customers and Negative Arrivals. International Journal of Computer Applications. 62, 10 ( January 2013), 9-13. DOI=10.5120/10115-4784

@article{ 10.5120/10115-4784,
author = { Hannah Revathy. P, Muthu Ganapathi Subramanian },
title = { Two Server (s, S) Inventory System with Positive Service Time, Positive Lead Time, Retrial Customers and Negative Arrivals },
journal = { International Journal of Computer Applications },
issue_date = { January 2013 },
volume = { 62 },
number = { 10 },
month = { January },
year = { 2013 },
issn = { 0975-8887 },
pages = { 9-13 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume62/number10/10115-4784/ },
doi = { 10.5120/10115-4784 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:11:24.952196+05:30
%A Hannah Revathy. P
%A Muthu Ganapathi Subramanian
%T Two Server (s, S) Inventory System with Positive Service Time, Positive Lead Time, Retrial Customers and Negative Arrivals
%J International Journal of Computer Applications
%@ 0975-8887
%V 62
%N 10
%P 9-13
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper deals with a two server (s,S) inventory system with positive service time, positive lead time, retrial of customers and negative arrivals. In this system, arrival of customers form a Poisson process, lead time and service time are exponentially distributed. The system starts with S units of inventory on hand. Each arriving customer is served a single unit of the item by any one of the servers. When the inventory level reaches s, an order is placed for (S-s) units. If the inventory level is zero or both servers are busy, then the arriving customer goes to orbit and becomes a source of repeated calls. Assume that the capacity of the orbit is infinite. The negative arrival plays an important role in this paper and it controls the congestion in the orbit by removing one customer from the orbit and further it is assumed that it removes the customer from the orbit only if inventory level is zero or both servers are busy. It is also assumed that the access from orbit to the service facility is governed by the classical retrial policy. This model is solved by using Direct Truncation Method. Numerical and graphical studies have been done for analysis of mean number of customers in the orbit, average inventory level, Truncation level, mean number of busy servers and system performance measures. A suitable cost function is defined.

References
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Index Terms

Computer Science
Information Sciences

Keywords

(s S) inventory system positive service time Positive lead time retrial customers LDQBD Process negative arrivals

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