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   Stability analysis of a repairable system with warning device and repairman vacation  
   
نویسنده ren y. ,guo l. ,zhang l.
منبع journal of function spaces - 2013 - دوره : 2013 - شماره : 0
چکیده    This paper considers a simple repairable system with a warning device and a repairman who can have delayed-multiple vacations. by markov renewal process theory and the probability analysis method,the system is first transformed into a group of integrodifferential equations. then,the existence and uniqueness as well as regularity of the system dynamic solution are discussed with the functional analysis method. further,the asymptotic stability,especially the exponential stability of the system dynamic solution,is studied by using the strongly continuous semigroup theory or c 0 semigroup theory. the reliability indices and some applications (such as the comparisons of indices and profit of systems with and without warning device),as well as numerical examples,are presented at the end of the paper. © 2013 yangli ren et al.
آدرس department of mathematics,taiyuan university of technology, China, department of mathematics,taiyuan university of technology, China, department of mathematics,taiyuan university of technology, China
 
     
   
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