Vol. 10 No. 1 (2026): Vol 10, Iss 1, Year 2026
Articles

Bivariate Optimal Replacement Policies under Partial Product Process for Multistate Degenerative Systems

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  • Affan Ahmed J,
  • Govindaraju P,
  • Rizwan U,
  • Mohamed Ali A
Affan Ahmed J
Department of Mathematics, Islamiah College (Autonomous), Vaniyambadi, India.
Govindaraju P
Department of Mathematics, Islamiah College (Autonomous), Vaniyambadi, India.
Rizwan U
Department of Mathematics, Islamiah College (Autonomous), Vaniyambadi, India.
Mohamed Ali A
Department of Mathematics, PMC Tech College of Engineering, Hosur, India.
DOI: https://doi.org/10.26524/cm223
Published January 13, 2026
Keywords
  • Partial Product Process, Replacement Policy, Renewal Reward Process and Virtual Repair Time.
How to Cite
Affan Ahmed J, Govindaraju P, Rizwan U, & Mohamed Ali A. (2026). Bivariate Optimal Replacement Policies under Partial Product Process for Multistate Degenerative Systems. Journal of Computational Mathematica, 10(1), 1-24. https://doi.org/10.26524/cm223

Abstract

In this paper, we consider on a multistate degenerative system with k working states and l-failure states and study the maintenance problems under various bivariate replacement polices (T, N),(T +, N),(U, N),(U −, N). The long-run average cost of a multistate degenerative system is calculated. Under the afore-mentioned bivariate replacement policies under partial product process optimality in inferred. In this study, the results developed are strengthened with numerical examples.

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