Analysis of queueing model with processor sharing discipline and customers impatience

Operations Research Perspectives - Tập 5 - Trang 245-255 - 2018
A.N. Dudin1,2, S.A. Dudin1,2, O.S. Dudina1,2, K.E. Samouylov2
1Department of Applied Mathematics and Computer Science, Belarusian State University, 4, Nezavisimosti Ave., Minsk 220030, Belarus
2Department of Applied Probability and Informatics, RUDN University, 6, Miklukho-Maklaya st., Moscow 117198, Russia

Tài liệu tham khảo

Asmussen, 2003 Baumann, 2010, Numerical solution of level dependent quasi-birth-and-death processes, Procedia Comput Sci, 1, 1561, 10.1016/j.procs.2010.04.175 Baumann, 2017, Multi-server tandem queue with markovian arrival process, phase-type service times, and finite buffers, Eur J Oper Res, 256, 187, 10.1016/j.ejor.2016.07.035 Buchholz, 2010, Multi-class markovian arrival processes and their parameter fitting, Perform Eval, 67, 1092, 10.1016/j.peva.2010.08.006 Buchholz, 2017, Fitting correlated arrival and service times and related queueing performance, Queueing Syst, 85, 337, 10.1007/s11134-017-9514-5 Chakravarthy, 2001, The batch markovian arrival process: a review and future work, 21 Dudin, 2017, Analysis of a retrial queue with limited processor sharing operating in the random environment, Lect Notes Comput Sci, 10372, 38, 10.1007/978-3-319-61382-6_4 Dudin, 2017, Analysis of multi-server queue with spatial generation and location-dependent service rate of customers as a cell operation model, IEEE Trans Commun, 65, 4325 Gaver, 1984, Finite birth-and-death models in randomly changing environments, Adv Appl Probab, 16, 715, 10.2307/1427338 Ghosh, 2017, An algorithmic analysis of the BMAP/MSP/1 generalized processor-sharing queue, Comput Oper. Res, 79, 1, 10.1016/j.cor.2016.10.001 Graham, 1981 He, 2018, Space reduction for a class of multidimensional markov chains: a summary and some applications, INFORMS J Comput, 30, 10, 10.1287/ijoc.2017.0759 Kesten, 1956 Kim, 2013, Queueing system MMAP/PH/n/n+r with impatient heterogeneous customers as a model of call center, Appl Math Model, 37, 958, 10.1016/j.apm.2012.03.021 Kim, 2012, Computation of the steady state distribution for multi-server retrial queues with phase-type service process, Ann Oper Res, 201, 307, 10.1007/s10479-012-1254-7 Kleinrock, 1976 Lucantoni, 1991, New results on the single server queue with a batch markovian arrival process, Commun in Statistics-Stochastic Models, 7, 1, 10.1080/15326349108807174 Li, 2005, An RG-factorization approach for a BMAP/m/1 generalized processor-sharing queue, Stochastic Models, 21, 507, 10.1081/STM-200056223 Moscholios, 2017, State-dependent bandwidth sharing policies for wireless multirate loss networks, IEEE Trans Wireless Commun, 16, 5481, 10.1109/TWC.2017.2712153 Masuyama, 2003, Sojourn time distribution in a MAP/m/1 processor-sharing queue, 31, 406 Neuts, 1981 Okamura, 2015, Mapfit: an r-based tool for PH/MAP parameter estimation, Lect Notes Comput Sci, 9259, 105, 10.1007/978-3-319-22264-6_7 Pattavina, 2005, Modelling voice call interarrival and holding time distributions in mobile networks, 729 Ramaswami, 1985, Independent markov processes in parallel, Comm Statist-Stochastic Models, 1, 419, 10.1080/15326348508807021 Ramaswami, 1985, Algorithms for the multi-server queue with phase-type service, Comm Statist-Stochastic Models, 1, 393, 10.1080/15326348508807020 Samouylov, 2016, Sojourn time analysis for processor sharing loss queuing system with service interruptions and MAP arrivals, Commun Comput Inf Sci, 678, 406 Sericola, 2005, Sojourn times in the m/PH/1 processor sharing queue, Queueing Syst, 50, 109, 10.1007/s11134-005-0372-1 Telek, 2017, Response time distribution of a class of limited processor sharing queues van Dantzig, 1955, Chaines de markof dans les ensembles abstraits et applications aux processus avec regions absorbantes et au probleme des boucles, Ann de l’Inst H Poincare, 14, 145 Vishnevski, 2017, Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks, Autom Remote Control, 78, 1361-1403, 10.1134/S000511791708001X Yang, 2016, Analysis on cache-enabled wireless heterogeneous networks, IEEE Trans Wireless Commun, 15, 131, 10.1109/TWC.2015.2468220 Yashkov, 1987, Processor-sharing queues: some progress in analysis, Queueing Syst, 2, 1, 10.1007/BF01182931 Yashkov, 2007, Processor sharing: a survey of the mathematical theory, Autom Remote Control, 68, 1662, 10.1134/S0005117907090202 Zhen, 2009, On sojourn times in the finite capacity m/m/1 queue with processor sharing, Oper Res Lett, 37, 447, 10.1016/j.orl.2009.09.007