| Autor: |
Krishnamoorthy, A., Sathian, M. K., Narayanan, Viswanath C. |
| Předmět: |
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| Zdroj: |
Reliability: Theory & Applications; Jun2016, Vol. 11 Issue 2, p61-93, 33p |
| Abstrakt: |
In this paper we study the reliability of a k-out-of-n system, with a single technician, who also renders service to external customers besides repairing the failed components in the system. For optimizing the revenue from external service without compromising the system reliability, we introduce the Npolicy in which the repair of the internal customers (failed components) starts only on accumulation of N failed components. The service to external customers is of preemptive nature in the sense that their service can be interrupted on accumulation of N failed components. It is assumed that an external customer, who finds the server busy with an external customer at the epoch of its arrival joins a queue of infinite capacity; whereas an external customer who finds the server busy with an internal customer leaves the system forever. The failure times of the components of the k-out-of-n system follow an exponential distribution; the arrival of external customers is according to a Poisson process and the service times of the internal and external customers follow non-identical phase-type distributions. Using matrix-analytic methods, we discuss the system stability and steady state distribution. A special case of the model where the underlying distributions are all exponential has been considered, to obtain an expression for the stability condition and a product form solution for the steady state have been obtained for this case. Also several system performance measures have been obtained explicitly. Analysis of a cost function indicates that N-policy does help to optimize the system revenue maintaining high system reliability. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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