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International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605

Volume 4, Issue 3, 2013 pp 65-68

Research Article

Arithmetico-Geometric Process Model for a Single Unit Cold Standby System

C.Manmatheswara Reddy¹ and B. Venkata Ramudu²

¹Principal, Sri Balaji P.G. College, Anantapur-515001 (AP) INDIA.

²Assistant Professor, Dept. of Statistics, SSBN Degree & P.G. College, Anantapur-515001 (AP) INDIA.

Academic Editor: Dr. Dase R.K.

This paper studies a cold standby repairable system consisting of two identical components namely component, component 2 and one repairman is studied. Assume that each component after repair is not ‘as good as new’ and also the successive working times form a decreasing arithmetic-geometric process, the successive repair time’s form an increasing arithemetico-geometric process and both the processes are exposing to Weibull failure law. Under these assumptions we study an optimal replacement policy N in which we replace the system when the number of failures of component 1 reaches N. We determine an optimal repair replacement policy N* such that the long run average cost per unit time is minimized. We derive an explicit expression of the long-run average cost and the corresponding optimal replacement policy N* can be determined analytically. Numerical results are provided to support the theoretical results.