Bull. Korean Math. Soc. 2006; 43(2): 277-292
Printed June 1, 2006
Copyright © The Korean Mathematical Society.
Yang Woo Shin
Changwon National University
We consider a single-server queue with service time distribution of phase type where positive customers, negative customers and disasters arrive according to a Markovian arrival process with marked transitions (MMAP). We derive simple formulae for the stationary queue length distributions. The Laplace-Stieltjes transforms (LST's) of the sojourn time distributions under the combinations of removal policies and service disciplines are also obtained by using the absorption time distribution of a Markov chain.
Keywords: MMAP, negative customers, disasters, queue length, sojourn time, fundamental matrix
MSC numbers: 60K25, 90B22
2007; 44(4): 663-675
2010; 47(6): 1251-1258
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd