본문 바로가기
KERD
논문KCI 등재

An $MMAP[3]/PH/1$ Queue with Negative Customers and Disasters

2

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

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)

  1. "G-networks: a versatile approach for work removal in queueing networks", (2), pp.233~249 (2000)
  2. "Queueing Networks" (1999), John Wiley&Sons
  3. "The $M", M, pp.1997, (1)[DOI]
  4. "On matrix-geometric solution of nested QBD chains", (1-2), pp.5~28 (2003)
  5. "\it Product-form queueing networks with negative and positive customers}", pp.656~ (1991)
  6. "\it Kronecker products and matrix calculus with applications}" (1981), Ellis Horwood Ltd.
  7. "The $MM\,\, CPP", GE, pp.2002, (3)[DOI]
  8. "\it Sojourn times in single-server queues with negative customers}", pp.943~ (1993)
  9. "Markov chains with marked transitions", (1), pp.37~52 (1998)
  10. "A $MAP", G, pp.2004, (1-2)[DOI]
  11. "\it Matrix-geometric solutions in stochastic models}" (1981), Johns Hopkins University Press
  12. "\it Structured stochastic matrices of $M", G, pp.1989.[DOI]
  13. "Sojourn time distributions in a Markovian G-queue with batch arrival and batch removal", pp.339~356 (1999)
  14. _, "$BMAP", G, pp.2004, (4)[DOI]
  15. Y. W. Shin, "A queue with positive and negative arrivals governed by a Markov chain", (4), pp.487~501 (2003)
  16. Y. Q. Zhao, "Duality results for block-structured transition matrices", (4), pp.1045~1057 (1999)

관련 논문AI추천

이 간행물의 다른 논문 (19건)