Foster, F. G.; Perros, H. G. On the blocking process in queue networks. (English) Zbl 0444.90036 Eur. J. Oper. Res. 5, 276-283 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 12 Documents MSC: 90B22 Queues and service in operations research 60K25 Queueing theory (aspects of probability theory) 90B10 Deterministic network models in operations research Keywords:blocking process; exponential open queue networks; three-stage queue networks; finite intermediate waitingroom; FIFO scheduling; approximate bounds; mean blocking time; two-stage queue network; exact bounds; stability conditions PDF BibTeX XML Cite \textit{F. G. Foster} and \textit{H. G. Perros}, Eur. J. Oper. Res. 5, 276--283 (1980; Zbl 0444.90036) Full Text: DOI References: [1] Asare, B. K., Queue networks with blocking, (Ph.D. Thesis (1978), Trinity College: Trinity College Dublin) [2] Avi-Itzhak, B.; Yadin, M., A sequence of two servers with no intermediate queue, Management Sci., 11, 553-564 (1965) · Zbl 0178.53503 [3] Feller, W., (An Introduction to Probability Theory and its Applications, Vol. 1 (1968), Wiley: Wiley New York) · Zbl 0155.23101 [4] Foster, F. G.; Perros, H. G., Queue networks with blocking: Exact and approximate results, (Lanciaux, D., Operating Systems: Theory and Practice (1979), North-Holland: North-Holland Amsterdam), 167-179 · Zbl 0444.90036 [5] Foster, F. G.; Perros, H. G., Hierarchical queue networks with partially shared servicing, J. Operational Res. Soc., 30, 157-166 (1979) · Zbl 0393.90029 [6] Hillier, F. S.; Boling, R. W., Finite queues in series with exponential or erlang service times—A numerical approach, Operations Res., 15, 286-303 (1967) · Zbl 0171.16302 [8] Jackson, J. R., Networks of Waiting Lines, Operations Res., 5, 518-521 (1957) · Zbl 1414.90067 [9] Konheim, A. G.; Reiser, M., A queueing model with finite waiting room and blocking, J. ACM, 23, 328-344 (1976) · Zbl 0327.68059 [10] Neuts, M. F., Two queues in series with a finite intermediate waitingroom, J. Appl. Probability, 5, 123-142 (1968) · Zbl 0157.25402 [11] Perros, H. G., Modelling a disc I/O system: A queue network approach, Europ. J. Operational Res., 1, 139-145 (1977) · Zbl 0368.68064 [12] Rao, N. P., On the mean production rate of two-stage production system of the tandem type, Int. J. Prod. Res., 13, 207-217 (1975) [13] Rao, N. P., Two-stage production systems with intermediate storage, AIIE Trans., 7, 414-421 (1975) [14] Seaman, P. H.; Lind, R. A.; Wilson, T. L., An analysis of auxiliary-storage activity, IBM Systems J., 5, 158-170 (1966) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.