A Bivariate Process based Maintenance Model for Two-Component Parallel Systems

Document Type : Original Article


School of Mathematics and Computer Science, Iran University of Science and Technology, Tehran, Iran.


This paper proposes a bivariate process-based model for maintenance and inspection planning of a parallel system, consisting of two components whose states evolve in one of three possible states: normal (0), satisfactory (1) and failure (2). The changes of states driven by a non-homogeneous Markov process are detected only by inspections and repair actions are determined by the observed state of the bivariate process. Outperforming maintenance strategies and other classical maintenance policies, the paper aims at minimizing the long-run average maintenance cost per unit time by deriving optimal inspection intervals and a preventive replacement threshold. A numerical example is given to illustrate the proposed model and examine the response of the optimal solutions to system parameters. The model explored here provides the framework for further developments.


Main Subjects

Volume 21, Issue 2
December 2022
Pages 149-164
  • Receive Date: 02 September 2022
  • Revise Date: 20 September 2022
  • Accept Date: 05 July 2023