An extended geometric process repair model with imperfect delayed repair under different objective functions. Issue 13 (3rd July 2018)

• Record Type: Journal Article
• Authors: Zhang, Y. L.; Wang, G. J.
• Is Part Of: Communications in statistics. Volume 47:Issue 13(2018)
• Page Start: 3204
• Page End: 3219
• Publication Date: 2018-07-03
• Subjects: Average availability rate -- average cost rate -- extended geometric process -- imperfect delayed repair -- replacement policy -- trade-off model; Primary: 60K05 -- Secondary: 90B25 -- 62N05; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2017.1353620
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: This article studies an extended geometric process repair model for a simple repairable system with imperfect delayed repair. Assume that the system after repair is not always successively degenerative, and the repair is not also always delayed. Under these assumptions, based on the failure number N of the system, an optimal replacement policy N * is determined respectively by minimizing the average cost rate ( ACR ), maximizing the average availability rate ( AAR ), and optimizing the trade-off model of the ACR and the AAR . Finally, a numerical example is given to illustrate some theoretical results and the model applicability.