COST BENEFIT ANALYSIS OF A SYSTEM UNDER HEADOF- LINE REPAIR APPROACH USING GUMBELHOUGAARD FAMILY COPULA

  • Mangey Ram Department of Mathematics, Graphic Era University, Dehradun, INDIA
  • S. B. Singh Department of Mathematics, Statistics and Computer Science G. B. Pant University of Agriculture and Technology, Pantnagar, INDIA
Keywords: Cost benefit analysis, Maintenance; Reliability, Head-of-Line Repair, Complex Engineering Systems

Abstract

This paper develops a new mathematical model of a system with a novel approach, which consists of two independent repairable subsystems. The model is analyzed under “Headof- Line” repair policy considering two types of repair between two successive transitions at a stage contrast to the normal practice of assuming single type of transition in all states. Supplementary variable technique, Laplace transformation and Gumbel-Hougaard family copula techniques are applied to obtain the availability and cost analysis of the system. At last some numerical examples have been taken to illustrate the model.

 

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Published
2012-08-23
Section
Articles