Extreme value asymptotics for multivariate renewal processes
Journal of Multivariate Analysis
A one-measurement form of simultaneous perturbation stochastic approximation
Automatica (Journal of IFAC)
Assessment of a renewal process experimented in the field
Journal of Systems and Software
A theorem of renewal process for fuzzy random variables and its application
Fuzzy Sets and Systems - Special issue on fuzzy numbers and uncertainty
A class of fuzzy random optimization: expected value models
Information Sciences: an International Journal
Fuzzy age-dependent replacement policy and SPSA algorithm based-on fuzzy simulation
Information Sciences: an International Journal
Expected value of fuzzy variable and fuzzy expected value models
IEEE Transactions on Fuzzy Systems
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A fuzzy random variable is a function from a probability space to the set of fuzzy variables. In this paper, an age-dependent replacement policy is studied in which the lifetimes of components are treated as fuzzy random variables. The fuzzy random age-dependent replacement policy was discussed and a fuzzy random simulation technique to estimate the long run expected cost per unit time is developed. In order to find the best T-age replacement policy to minimize the long run expected cost per unit time, a fuzzy random expected value model is presented. Furthermore, the simultaneous perturbation stochastic approximation (SPSA) algorithm based on fuzzy random simulation is designed to get the optimal solution of the proposed models. At the end of this paper, a numerical example is enumerated.