Journal of applied mathematics & informatics
- Volume 25 Issue 1_2
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- Pages.389-405
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- 2007
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
OPTIMAL UTILIZATION OF SERVICE FACILITY FOR A k-OUT-OF-n SYSTEM WITH REPAIR BY EXTENDING SERVICE TO EXTERNAL CUSTOMERS IN A RETRIAL QUEUE
- Krishnamoorthy, A. (Department of Mathematics, Cochin University of Science and Technology) ;
- Narayanan, Viswanath C. (Department of Mathematics, Government Enbgineering College) ;
- Deepak, T.G. (Government Polytechnic College)
- Published : 2007.09.30
Abstract
In this paper, we study a k-out-of-n system with single server who provides service to external customers also. The system consists of two parts:(i) a main queue consisting of customers (failed components of the k-out-of-n system) and (ii) a pool (of finite capacity M) of external customers together with an orbit for external customers who find the pool full. An external customer who finds the pool full on arrival, joins the orbit with probability