Using Factorization for Waiting Times in BMAP/G/1 Queues with N-Policy and Vacations

References

• Ramaswami , V. 1980 . The N/G/1 queue and its detailed analysis . Adv. Appl. Prob. , 12 : 222 – 261 .
   Web of Science ®Google Scholar
• Lucantoni , D.M. , Meier-Hellstern , K. and Neuts , M.F. 1990 . A single server queue with server vacations and a class of non-renewal arrival process . Adv. Appl. Prob. , 22 : 676 – 705 .
   Web of Science ®Google Scholar
• Kasahara , S. , Takine , T. , Takahashi , Y. and Hasegawa , T. 1996 . MAP/G/1 queues under N-policy with and without vacations . J. OR. Soc. , 39 ( 2 ) : 188 – 212 . Japan
   Web of Science ®Google Scholar
• Neuts , M.F. 1979 . A versatile Markovian point process . J. Appl. Prob. , 16 : 764 – 779 .
   Web of Science ®Google Scholar
• Neuts , M.F. 1981 . Matrix-Geometric Solutions in Stochastic Models Baltimore and London , , Singapore : The Johns Hopkins University Press .
   Google Scholar
• Neuts , M.F. 1989 . Structured Stochastic Matrices of M/G/1 type and Their Applications New York , , Singapore : Marcel Dekker .
   Google Scholar
• Lucantoni , D.M. 1991 . New results on the single server queue with BMAP . Stochastic Models , 7 ( 1 ) : 1 – 46 .
   Google Scholar
• Lucantoni , D.M. 1993 . “ The BMAP/G/1 queue: A tutorial ” . In Models and Techniques for Performance Evaluation of Computer and Communications Systems Edited by: Donatiello , L. and Nelson , R. 330 – 358 . Singapore : Springer Verlag .
   Google Scholar
• Ramaswami , V. 1988 . Stable recursion for the steady state vector for Markov chains of M/G/1 type . Stochastic Models , 4 : 183 – 188 .
   Google Scholar
• Lee , H.W. , Ahn , B.Y. and Park , N.I. 2001 . Decompositions of the queue length distributions in the MAP/G/1 queue under multiple and single vacations with N-policy . Stochastic Models , 17 ( 2 ) : 157 – 190 .
   Google Scholar
• Chang , S.H. , Takine , T. , Chae , K.C. and Lee , H.W. 2002 . A unified queue length formula for BMAP/G/1 queue with generalized vacations . Stochastic Models , 18 ( 3 ) : 369 – 386 . [CROSSREF]
   Web of Science ®Google Scholar
• Lee , H.W. , Park , N.I. and Jeon , J. 2003 . A new approach to queue lengths and waiting times of BMAP/G/1 queues . Comput. Operations Res. , 30 : 2021 – 2045 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Lee , H.W. , Lee , S.S. , Park , J.O. and Chae , K.C. 1994 . Analysis of the M X /G/1 queue with N-policy and multiple vacations . J. Appl. Prob. , 31 : 476 – 496 .
   Web of Science ®Google Scholar