Optimal Replacement Policy under Partial Product Process in an Alternative Repair Model

Authors

  • T. R. Raajpandiyan Department of Mathematics, Islamiah College (Autonomous) Vaniyambadi Affiliated to Thiruvalluvar University, Vellore.
  • Syed Siddiqua Begum Department of Mathematics and Actuarial Science, B.S. Abdur Rahman Crescent institute of Science and Technology,Vandalur, Chennai.
  • Syed Tahir Hussainy Department of Mathematics, Islamiah College (Autonomous) Vaniyambadi Affiliated to Thiruvalluvar University, Vellore.
  • U. Rizwan Department of Mathematics, Islamiah College (Autonomous) Vaniyambadi Affiliated to Thiruvalluvar University, Vellore.

Keywords:

Partial product Process, Replacement policy ( ), -shock model, Alternative Repair Times

Abstract

A common assumption in replacement problems is that the repair of a failed system may yield a functioning system, which may be either as good as new (complete repair) or as old as just prior to failure (partial repair). In this paper, we study the partial product process and replacement model for a deteriorating system under various conditions and a repairable system of an alternative repair model, called the Negligible Or Non-Negligible (NONN) repair times introduced by Thangaraj and Rizwan [2001] to develop a new repair model, a replacement policy  NONN repair time. Furthermore, explicit expressions for the long-run average cost of the  policy is to be derived. An optional replacement policy for a deteriorating system using partial product process is developed.

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Published

2024-05-27

How to Cite

T. R. Raajpandiyan, Syed Siddiqua Begum, Syed Tahir Hussainy, & U. Rizwan. (2024). Optimal Replacement Policy under Partial Product Process in an Alternative Repair Model. Journal of Computational Analysis and Applications (JoCAAA), 33(4), 395–403. Retrieved from http://eudoxuspress.com/index.php/pub/article/view/940

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