T-age Replacement Policy in Fuzzy Renewal Reward Processes

Volume 4, Issue 3, pp 402--410 http://dx.doi.org/10.22436/jmcs.04.03.14

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Authors

Behrouz Fathi Vajargah - Department of Statistics, Faculty of Mathematical Sciences, University of Guilan Sara Ghasemalipour - Department of Statistics, Faculty of Mathematical Sciences, University of Guilan, Iran

Abstract

This paper studies a renewal reward process with fuzzy reward and fuzzy random inter arrival times. A theorem about the long run average fuzzy reward and fuzzy life time is proved. The original problem is evaluating the membership of the long run average fuzzy cost per unit time that for obtaining membership, we should solve a nonlinear programming problem. Finally, some application example is provided to illustrate the result.

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Keywords

• Fuzzy renewal reward processes
• Fuzzy random reward
• Fuzzy random variables
• Membership function
• Fuzzy life time
• Nonlinear programming

MSC

•  90B25
•  90C30
•  90C70

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