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Paper Information

Journal:   INTERNATIONAL JOURNAL OF ENGINEERING   JUNE 2007 , Volume 20 , Number 2 (TRANSACTIONS A: BASICS); Page(s) 169 To 182.
 
Paper: 

TRANSIENT ANALYSIS OF M/M/R MACHINING SYSTEM WITH MIXED STANDBYS, SWITCHING FAILURES, BALKING, RENEGING AND ADDITIONAL REMOVABLE REPAIRMEN

 
 
Author(s):  JAIN M.*, SHARMA G.C., SINGH N.
 
* DEPARTMENT OF MATHEMATICS, INSTITUTE OF BASIC SCIENCE DR. B. R. AMBEDKAR UNIVERSITY, KHANDARI, AGRA-282002, INDIA
 
Abstract: 

The objective of this paper is to study the M/M/R machine repair queueing system with mixed standbys. The life-time and repair time of units are assumed to be exponentially distributed.

Failed units are repaired on FCFS basis. The standbys have switching failure  robability q (0 ≤ q ≤ 1). The repair facility of the system consists of R permanent as well as r additional removable repairmen. Due to impatience, the failed units may balk or renege, with a certain probability, on finding all repairmen busy. Transient probabilities of various states are obtained by solving the set of governing equations via Runge-Kutta method. Expressions for various performance measures are  established in terms of transient probabilities of system states. By varying different parameters, the system behavior is examined with the help of numerical illustrations.

 
Keyword(s): TRANSIENT ANALYSIS, MACHINE INTERFERENCE, MIXED STANDBYS, BALKING, RENEGING, STATE DEPENDENT RATES, SWITCHING FAILURES, RUNGE KUTTA METHOD
 
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