COST BENEFIT ANALYSIS OF A SYSTEM UNDER HEAD- OF-LINE REPAIR APPROACH USING GUMBEL- HOUGAARD FAMILY COPULA

Authors

  • 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 “Head- of-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

2012-12-03

How to Cite

Ram, M. ., & Singh, S. B. . (2012). COST BENEFIT ANALYSIS OF A SYSTEM UNDER HEAD- OF-LINE REPAIR APPROACH USING GUMBEL- HOUGAARD FAMILY COPULA. Journal of Reliability and Statistical Studies, 5(02), 105–118. Retrieved from https://journals.riverpublishers.com/index.php/JRSS/article/view/21919

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