Ql. Li et al., RELIABILITY APPROXIMATION OF A MARKOV QUEUING SYSTEM WITH SERVER BREAKDOWN AND REPAIR, Microelectronics and reliability, 37(8), 1997, pp. 1203-1212
This paper considers the reliability approximation of the queueing sys
tem PH/PH/1 with server breakdown and repair, where the life time of t
he server has the exponential distribution, and its repair time has th
e phase type distribution. First, we obtain the steady availability an
d steady failure frequency of the server. Then, we get the reliability
function of the server, its probability density function and its Lapl
ace-Stiltjes transform, which also gives an effective approximation of
the reliability function of the server, where the error of the approx
imation can be easily bounded and is uniform in t. Finally, we discuss
a special case and we can show that the reliability approximation has
a wider application to various Markovian queueing systems with a repa
irable server. (C) 1997 Elsevier Science Ltd.