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Walrand, J.

Poisson flows in single class open networks of quasireversible queues. (English) Zbl 0486.60085

Stochastic Processes Appl. 13, 293-303 (1982).
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Cited in 5 Documents

MSC:

60K25 Queueing theory (aspects of probability theory)
90B15 Stochastic network models in operations research
60K20 Applications of Markov renewal processes (reliability, queueing networks, etc.)

Keywords:

queueing networks; flows in queueing networks; quasi-reversibility
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References:

[1] Melamed, B., Characterization of Poisson traffic streams in Jackson queueing networks, Adv. Appl. Probab., 11, 422-438 (1979) · Zbl 0399.60088
[2] Walrand, J.; Varaiya, P., When is a flow in a Jacksonian network Poissonian?, (Electronics Research Laboratory Memo ERL M78/59 (1978), University of California: University of California Berkeley) · Zbl 0445.60072
[3] Walrand, J.; Varaiya, P., Flows in queuing networks: A martingale approach, Math. Oper. Res., 6, 3, 387-404 (1981) · Zbl 0503.60095
[4] Jackson, J. R., Networks of waiting lines, Oper. Res., 5, 518-521 (1957) · Zbl 1414.90067
[5] Baskett, F.; Chandy, K. M.; Muntz, R. R.; Palacios, F. G., Open, closed, and mixed networks of queues with different classes of customers, Assoc. Comput. Mach., 22, 2, 248-260 (1975) · Zbl 0313.68055
[6] Kelly, F. P., Networks of queues, Adv. Appl. Probab., 8, 416-432 (1976) · Zbl 0337.60076
[7] Kelly, F. P., Reversibility and Stochastic Networks (1979), Wiley: Wiley New York · Zbl 0422.60001
[8] H.C.P. Berbee, personal communication.; H.C.P. Berbee, personal communication.
[9] Sevcik, K. C.; Mitrani, I., The distribution of queueing network states at input and output instants, I.R.I.A. Rept. No. 307 (1978) · Zbl 0418.90047
[10] Walrand, J.; Varaiya, P., Interconnections of Markov chains and quasireversible queueing networks, Stochastic Process Appl., 10, 209-219 (1980) · Zbl 0441.60092
[11] B. Melamed, On Markov jump processes imbedded at jumps epochs and their queueing-theoretic applications, to appear.; B. Melamed, On Markov jump processes imbedded at jumps epochs and their queueing-theoretic applications, to appear. · Zbl 0497.60075
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