Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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STOCHASTIC INEQUALITIES IN TWO REPAIRABLE UNITS

  • PARK, TAE-KEUN (Dept. of Management and Statistics Faculty of Mathematics, Informatics and Statistics, Kunsan National University) ;
  • PARK, YOUNG-SUNG (Dept. of Management and Statistics Faculty of Mathematics, Informatics and Statistics, Kunsan National University)
  • Received : 2001.04.16
  • Published : 2001.07.30
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Abstract

In this paper we investigated a replacement model with two types of repairs. Repairs are classified into minimal and perfect repair. An operating unit is completely replaced whenever it reaches age ${\tau}({\tau}>0)$(planned replacement). If it fails at age $t<{\tau}$, it is either restored by a entire unit with probability p(t)(perfect repair), or it undergoes minimal repair with probability $\bar{p}(t)=1-p(t)$. After a planned replacement, the procedure is repeated.

Keywords

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