IJPAM: Volume 114, No. 3 (2017)

Title

COST-BENEFIT ANALYSIS OF TWO IDENTICAL WARM
STANDBY SYSTEM SUBJECT TO UNDER HEAVY RAIN
WITH PARTIALLY OPERATIVE AFTER REPAIR

Authors

Narender Singh$^1$, Dalip Singh$^2$, Ashok Kumar Saini$^3$
$^{1,2}$Department of Mathematics
M.D. University
Rohtak, 124001, INDIA
$^3$Department of Mathematics
B.L.J.S. College
Tosham, Bhiwani, 127040, INDIA

Abstract

The aim of this paper is to improve the reliability through regenerative point technique. In this paper two identical units in the warm standby system are considered. The standby component is referred as `warm standby' when the failure rate is nonzero and is less than the failure rate of a primary component. Each unit of the system has three modes via; operative, failed and partially operative. The failure and repair times follow exponential and general time distributions respectively. We transform the basic equations of the proposed model into an integro-differential equations and solve it by semi-Markov processes. Using the regeneration point technique several reliability characteristics have been obtained. Various reliability parameters such as mean time to system failure, availability, busy period, number of visit periods by repairman and profit have been computed and analyzed by graphical illustrations.

History

Received: December 8, 2016
Revised: February 3, 2017
Published: May 23, 2017

AMS Classification, Key Words

AMS Subject Classification: 47H09, 47H10
Key Words and Phrases: similar warm stand by system, operative, partially operative and failed

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How to Cite?

DOI: 10.12732/ijpam.v114i3.7 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 114
Issue: 3
Pages: 503 - 514


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