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Computing system length distribution of a finite-buffer bulk-arrival bulk-service queue with variable server capacity

2011; Inderscience Publishers; Volume: 12; Issue: 3 Linguagem: Inglês

10.1504/ijor.2011.042918

1745-7653

Anuradha Banerjee, K. Sikdar, Umesh Gupta,

Statistical Methods and Bayesian Inference

No AccessComputing system length distribution of a finite-buffer bulk-arrival bulk-service queue with variable server capacityA. Banerjee, K. Sikdar and U.C. GuptaA. Banerjee Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, West Bengal, India , K. Sikdar Department of Mathematics, BMS Institute of Technology, P.O. Box No. 6443, Doddaballapura Main Road, Yelahanka, Bangalore 560064, Karnataka, India and U.C. Gupta Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, West Bengal, India Published Online:October 10, 2011pp 294-317https://doi.org/10.1504/IJOR.2011.042918PDF ToolsAdd to FavouritesDownload CitationsTrack Citations Share this article on social mediaShareShare onFacebookTwitterLinkedInReddit AboutAbstractIn a recent paper, Chang et al. (2004) analysed finite-buffer bulk-arrival bulk-service queue with variable server capacity: Keywordsbulk-arrival, bulk-service, finite-buffer, queue, system length References 1. S.K. Bar-Lev, M. Parlar, P. perry, W. Stadje, F.A.V. der Duyn Schouten, '‘Applications of bulk queues to group testing models with incomplete identification’' European Journal of Operational Research (2007) Google Scholar2. S.H. Chang, D.W. Choi, '‘Modelling and performance analysis of a finite-buffer queue with batch arrivals, batch services, and setup times: the MX/GY /1/K + B queue with setup times’' INFORMS Journal on Computing (2006) Google Scholar3. S.H. Chang, D.W. Choi, T.S. Kim, '‘Performance analysis of a finite-buffer bulk-arrival and bulk-service queue with variable server capacity’' Stochastic Analysis and Applications (2004) Google Scholar4. M.L. Chaudhry, J.G.C. Temleton, A First Course in Bulk Queues (1983) Google Scholar5. A. Chen, P. Pollett, J. Li, H. Zhang, '‘Markovian bulk-arrival and bulk-service queues with state-dependent control’' Queueing System (2010) Google Scholar6. G. Choudhury, K.C. Madan, '‘A batch arrival Bernoulli vacation queue with a random setup time under restricted admissibility policy’' Int. J. Operational Research (2007) Google Scholar7. M. Jain, S. Upadhyaya, '‘Optimal repairable MX/G/1 queue with multi-optional services and Bernoulli vacation’' Int. J. Operational Research (2010) Google Scholar8. M.S. Kumar, R. Arumuganathan, '‘An MX/G/1 retrial queue with two-phase service subject to active server breakdowns and two types of repair’' Int. J. Operational Research (2010) Google Scholar9. P.V. Laxmi, U.C. Gupta, '‘On the finite-buffer bulk-service queue with general independent arrivals: GI /M[b]/1/N’' Operations Research Letters (1999) Google Scholar10. K. Sikdar, U.C. Gupta, '‘The finite-buffer M/G/1 queue with general bulk-service rule and single vacation’' Performance Evaluation (2004) Google Scholar11. K. Sikdar, U.C. Gupta, '‘On the batch arrival batch service queue with finite buffer under server’s vacation: MX/GY /1/N queue’' Computers and Mathematics with Applications (2008) Google Scholar12. K. Sikdar, U.C. Gupta, R.K. Sharma, '‘The analysis of a finite-buffer general input queue with batch arrival and exponential multiple vacations’' Int. J. Operational Research (2008) Google Scholar13. H. Takagi, Queueing Analysis – A Foundation of Performance Evaluation. Vol. 1, Finite Systems (1993) Google Scholar14. X.L. Xu, M.X. Liu, X.H. Zhao, '‘The bulk input M[X]/M/1 queue with working vacations’' Journal of System Science and System Engineering (2009) Google Scholar Previous article Next article FiguresReferencesRelatedDetailsCited byCritical chain scheduling: a new approach for feeding buffer sizingHosein Iranmanesh, Fatemeh Mansourian and Samaneh Kouchaki8 December 2015 | International Journal of Operational Research, Vol. 25, No. 1Queueing model with non-homogeneous bulk arrivals having state-dependent service ratesA.V.S. Suhasini, K. Srinivasa Rao and P. Rajasekhara Reddy5 August 2014 | International Journal of Operational Research, Vol. 21, No. 1Analysis of finite-buffer bulk-arrival bulk-service queue with variable service capacity and batch-size-dependent service: A. Banerjee, U.C. Gupta and K. Sikdar6 May 2013 | International Journal of Mathematics in Operational Research, Vol. 5, No. 3 Volume 12Issue 32011 ISSN: 1745-7645eISSN: 1745-7653 HistoryPublished onlineOctober 10, 2011 Keywordsbulk-arrivalbulk-servicefinite-bufferqueuesystem lengthAuthors and AffiliationsA. Banerjee1 K. Sikdar2 U.C. Gupta3 1. Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, West Bengal, India 2. Department of Mathematics, BMS Institute of Technology, P.O. Box No. 6443, Doddaballapura Main Road, Yelahanka, Bangalore 560064, Karnataka, India 3. Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, West Bengal, India PDF download