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Author(s): Rakesh Gupta, Pradeep Chaudhary, Vishal Sharma

Email(s): Email ID Not Available

Address: Department of Statistics Ch. Charan Singh University Meerut - 250005 (India)

Published In:   Volume - 20,      Issue - 1,     Year - 2007


Cite this article:
Gupta, Chaudhary and Sharma (2007). Analysis of a Two - Unit System Model with the Mixture of Active and Passive Redundancies. Journal of Ravishankar University (Part-B: Science), 20(1), pp.73-86.



Journal of Ravishankar University Vol. 20  No. B (Science) 2007  PP 73-86   ISSN 0970-5910

Analysis of a Two - Unit System Model with the Mixture of Active and Passive Redundancies

Rakesh  Gupta,  Pradeep  Chaudhary and Vishal Sharma

Department of Statistics Ch. Charan Singh University

Meerut - 250005 (India)

MS Received: 12:04.05      Revised:   10.10.06       Accepted:  07.05.2007

Abstract: The present paper is devoted to the study of a stochastic model based on two non-identical units (unit-1 and unit-2) with a mixture of ective and passive redundancies. The switching device to put the standby into operation main failed with some fixed non probability. A single repair man is callad for the repair of a failed unit switch who takes some significant random time to come with the system and the priority in repair is given to switching device. All the failure time distributions and distribution of time to working and time to rest of unit-2 are teken as exponential whereas the repair time distributions and waiting time distributions of repair men are assumed to be ganeral. By using supplementary variable technique various measures of system effectiveness are obtained the behaviours of MTSF and profit function are also studied graphicelly in respect of some parameters.

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