The BMAP/GI/1 queue with server set-up times and server vacations

Josep M. Ferrandiz

doi:10.2307/1427504

Lucantoni, David M. 1993. Performance Evaluation of Computer and Communication Systems. Vol. 729, Issue. , p. 330.

Schellhaas, Helmut 1994. Single server queues with a batch Markovian arrival process and server vacations. OR Spektrum, Vol. 15, Issue. 4, p. 189.

Machihara, Fumiaki 1995. AG/SM/1queue with vacations depending on service times. Communications in Statistics. Stochastic Models, Vol. 11, Issue. 4, p. 671.

Takine, Tetsuya and Takahashi, Yoshitaka 1998. On the relationship between queue lengths at a random instant and at a departure in the stationary queue with bmap arrivals. Communications in Statistics. Stochastic Models, Vol. 14, Issue. 3, p. 601.

Tian, Naishuo Li, Quan-Lin and Gao, Jinhua 1999. Conditional stochastic decompositions in the M/M/c queue with server vacations. Communications in Statistics. Stochastic Models, Vol. 15, Issue. 2, p. 367.

Sikdar, K. and Gupta, U. C. 2005. The queue length distributions in the finite buffer bulk-service MAP/G/1 queue with multiple vacations. Top, Vol. 13, Issue. 1, p. 75.

Chang, Seok Ho and Takine, Tetsuya 2005. Factorization and Stochastic Decomposition Properties in Bulk Queues with Generalized Vacations. Queueing Systems, Vol. 50, Issue. 2-3, p. 165.

Banik, A.D. Gupta, U.C. and Pathak, S.S. 2006. BMAP/G/1/N queue with vacations and limited service discipline. Applied Mathematics and Computation, Vol. 180, Issue. 2, p. 707.

Tian, Naishuo and Zhang, Zhe George 2006. Vacation Queueing Models Theory and Applications. Vol. 93, Issue. , p. 359.

Gupta, U.C. and Sikdar, Karabi 2006. Computing queue length distributions in MAP/G/1/N queue under single and multiple vacation. Applied Mathematics and Computation, Vol. 174, Issue. 2, p. 1498.

Banik, A. D. and Gupta, U. C. 2007. Analyzing the finite buffer batch arrival queue under Markovian service process: GI X /MSP/1/N . TOP, Vol. 15, Issue. 1, p. 146.

Saffer, Zsolt and Telek, Miklós 2008. Computer Performance Engineering. Vol. 5261, Issue. , p. 212.

Zhao, Qinggui Zhang, Xuan and Kong, Xiangxing 2009. The Queue Length of GI/G/1 Queueing System with Server Setup Times. p. 702.

Kempa, Wojciech M. 2009. Some New Results for Departure Process in theMX/G/1 Queueing System with a Single Vacation and Exhaustive Service. Stochastic Analysis and Applications, Vol. 28, Issue. 1, p. 26.

Banik, A.D. 2009. The infinite-buffer single server queue with a variant of multiple vacation policy and batch Markovian arrival process. Applied Mathematical Modelling, Vol. 33, Issue. 7, p. 3025.

Banik, A. D. 2013. Analysis of Queue-Length Dependent Vacations and P-Limited Service in BMAP/G/1/N Systems: Stationary Distributions and Optimal Control. International Journal of Stochastic Analysis, Vol. 2013, Issue. , p. 1.

Datta Banik, Abhijit 2013. Stationary distributions and optimal control of queues with batch Markovian arrival process under multiple adaptive vacations. Computers & Industrial Engineering, Vol. 65, Issue. 3, p. 455.

Claeys, Dieter Steyaert, Bart Walraevens, Joris Laevens, Koenraad and Bruneel, Herwig 2013. Analysis of a versatile batch-service queueing model with correlation in the arrival process. Performance Evaluation, Vol. 70, Issue. 4, p. 300.

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests