Stochastic decomposition of the queue in a random environment

Operations Research Letters - Tập 35 - Trang 805-812 - 2007
Bernardo D’Auria1
1Departamento de Estadistica, Univeridad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganés (Madrid), Spain

Tài liệu tham khảo

Abramowitz, 1964 Baccelli, 2003 Baykal-Gursoy, 2004, Stochastic decomposition in M/M/∞ queues with Markov-modulated service rates, Queueing Syst., 48, 75, 10.1023/B:QUES.0000039888.52119.1d Boxma, 1989, Workloads and waiting times in single-server systems with multiple customer classes, Queueing Syst., 5, 185, 10.1007/BF01149192 B. D’Auria. M/M/∞ queue with on–off service speeds, Stability problems for stochastic models series, J. Math. Sci., to appear. Fuhrmann, 1984, A note on the M/G/1 queue with server vacations, Oper. Res., 32, 1368, 10.1287/opre.32.6.1368 Fuhrmann, 1985, Stochastic decomposition in the M/G/1 queue with generalized vacations, Oper. Res., 33, 1117, 10.1287/opre.33.5.1117 Jayawardene, 1996, M/G/∞ with alternating renewal breakdowns, Queueing Syst., 22, 79, 10.1007/BF01159394 Keilson, 1993, The matrix M/M/∞ system: retrials models and Markov modulated sources, Adv. Appl. Probab., 25, 453, 10.2307/1427662 Kella, 1991, Queues with server vacations and Lévy processes with secondary jump input, Ann. Appl. Probab., 1, 104, 10.1214/aoap/1177005983 Levy, 1975, Utilization of idle time in an M/G/1 queueing system, Manag. Sci., 22, 202, 10.1287/mnsc.22.2.202 O’Cinneide, 1986, The M/M/∞ queue in a random environment, J. Appl. Probab., 23, 175, 10.2307/3214126