REFERENCES
- Bratiychuk , M.S. , and Kempa , W.M. 2003 . Application of the superposition of renewal processes to the study of batch arrival queues . Queueing Systems 44 : 51 – 67 .
- Bratiychuk , M.S. , and Kempa , W.M. 2004 . Explicit formulae for queue length of batch arrival systems . Stochastic Models 20 ( 4 ): 457 – 472 .
- Kempa , W.M. 2004 . The virtual waiting time for the batch arrival queueing systems . Stochastic Analysis and Applications 22 ( 5 ): 1235 – 1255 .
- Kempa , W.M. 2008 . The departure process for the queueing systems with batch arrival of customers . Stochastic Models 24 ( 2 ): 246 – 263 .
- Tang , Y. 1994 . The departure process of the M/G/1 queueing model with server vacation and exhaustive service discipline . J. Appl. Prob. 31 ( 4 ): 1070 – 1082 .
- Takagi , H. 1991 . Queueing Analysis, Volume 1: Vacation and Priority Systems, Part 1 . North-Holland , Amsterdam .
- Choudhury , G. 2002 . A batch arrival queue with a vacation under single vacation policy . Comput. Oper. Res. 29 ( 14 ): 1941 – 1955 .
- Choudhury , G. , and Kalita , S. 2002 . Analysis of a batch arrival Poisson queue under single vacation policy . Calcutta Stat. Assoc. Bull. 53 ( 209–210 ): 81 – 91 .
- Madan , K.C. , and Abu-Dayyeh , W. 2003 . Steady state analysis of a single server bulk queue with general vacations and restricted admissibility of arriving batches . Rev. Invest. Oper. 24 ( 2 ): 113 – 123 .
- Baba , Y. 1986. On the M X /G/1 queue with vacation. Oper. Res. Lett. 5:93–98.
- Ke , J.-Ch. 2003 . Optimal strategy policy in batch arrival queue with server breakdowns and multiple vacations . Math. Methods Oper. Res. 58 ( 1 ): 41 – 56 .
- Ke , J. -Ch. 2004 . The optimal control in batch arrival queue with server vacations, startup and breakdowns . Yugosl. J. Oper. Res. 14 ( 1 ): 41 – 55 .
- Ferrandiz , J. M. 1993 . The BMAP/GI/1 queue with server set-up times and server vacations . Adv. Appl. Probab. 25 ( 1 ): 235 – 254 .
- Chatterjee , U. , and Mukherjee , S.P. 1990 . On some distributions of the M (x)/G/1 queue with server's vacation and exhaustive service discipline . Asia-Pac. J. Oper. Res. 7 ( 1 ): 82 – 91 .
- Kempa , W.M. 2009 . GI/G/1/∞ batch arrival queueing system with a single exponential vacation . Math. Methods Oper. Res. 69 ( 1 ): 81 – 97 .
- Borovkov , A.A. 1972 . Probabilistic Processes in the Queueing Theory . Nauka , Moscow .
- Prabhu , N.U. 1980 . Stochastic Storage Processes . Springer , New York .