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An $MMAP[3]/PH/1$ Queue with Negative Customers and Disasters
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Abstract
We consider a single-server queue with service timedistribution of phase type where positive customers, negative cus-tomers and disasters arrive according to a Markovian arrival pro-cess with marked transitions (MMAP). We derive simple formulaefor the stationary queue length distributions. The Laplace-Stieltjestransforms (LST's) of the sojourn time distributions under the com-binations of removal policies and service disciplines are also ob-tained by using the absorption time distribution of a Markov chain.
참고문헌 (16)
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- Y. W. Shin, "A queue with positive and negative arrivals governed by a Markov chain", (4), pp.487~501 (2003)
- Y. Q. Zhao, "Duality results for block-structured transition matrices", (4), pp.1045~1057 (1999)
관련 논문AI추천
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