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Comparisons of mixed systems with decreasing failure rate component lifetimes using dispersive order
Author(s) -
Toomaj Abdolsaeed,
Doostparast Mahdi
Publication year - 2014
Publication title -
applied stochastic models in business and industry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.413
H-Index - 40
eISSN - 1526-4025
pISSN - 1524-1904
DOI - 10.1002/asmb.2102
Subject(s) - independent and identically distributed random variables , component (thermodynamics) , failure rate , order (exchange) , function (biology) , mathematics , order statistic , signature (topology) , statistical physics , computer science , statistics , thermodynamics , random variable , physics , geometry , finance , evolutionary biology , biology , economics
Because lifetimes of systems are not deterministic, partially, orders are used for comparison purposes which lead us to provide optimal system configurations. This paper deals with a signature‐based dispersive ordering of mixed systems. It is assumed that component lifetimes are independent and identically distributed, and the common distribution has a decreasing failure rate function. Some illustrative examples are also given.