A bivariate optimal replacement policy for a system subject to a generalized failure and repair process. (4th July 2018)

• Record Type: Journal Article
• Authors: Lee, Hyunju; Cha, Ji Hwan
• Other Names: Pievatolo Antonio guestEditor.; Insua David Rios guestEditor.; Wilson Simon guestEditor.
• Is Part Of: Applied stochastic models in business and industry. Volume 35:Number 3(2019)
• Page Start: 637
• Page End: 650
• Publication Date: 2018-07-04
• Subjects: dependent increments property -- generalized Polya process -- optimal maintenance policy -- stochastic intensity -- worse than minimal repair; Stochastic analysis -- Periodicals; Stochastic processes -- Periodicals; Business mathematics -- Periodicals; Finance -- Mathematical models -- Periodicals; Industrial management -- Mathematical models -- Periodicals; 338.00151923
• DOI: 10.1002/asmb.2356
• Languages: English
• ISSNs: 1524-1904

Abstract

Abstract: Traditionally, in the studies of the optimal maintenance policies for repairable systems, the nonhomogeneous Poisson process model, which corresponds to the minimal repair process, has been intensively applied. However, in many practical situations, the repair type is not necessarily minimal. In this article, a new repair process based on a new counting process model (so‐called the generalized Polya process) is introduced. Then, the issue of the optimal replacement problem is discussed. A bivariate preventive replacement policy is developed and the properties of the optimal policy are studied. Illustrative examples are also presented. In addition, a comparison with a conventional replacement policy is performed.