×

Approximate analysis of exponential tandem queues with blocking. (English) Zbl 0497.60096


MSC:

60K25 Queueing theory (aspects of probability theory)
90B22 Queues and service in operations research
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Altiok, T.; Stidham, S., A note on transfer lines with unreliable machines, random processing times, and finite buffers, NCSU-IE Technical Report No. 81-9 (1981)
[2] Avi-Itzhak, B., A sequence of service stations with arbitrary input and regular service times, Management Sci., 11, 565-571 (1965) · Zbl 0156.18602
[3] Boxma, O.; Konhem, A., Approximate analysis of exponential queuing systems with blocking, Acta Informat., 15, 19-66 (1981)
[4] Cinlar, E., Introduction to Stochastic Processes (1975), Prentice-Hall: Prentice-Hall Englewood Cliffs, NJ · Zbl 0341.60019
[5] Cohen, J. W., The Single Server Queue (1969), North-Holland: North-Holland Amsterdam · Zbl 0183.49204
[6] Conte, S.; de Boor, C., Elementary Numerical Analysis (1980), McGraw-Hill: McGraw-Hill New York · Zbl 0496.65001
[7] Foster, F. G.; Perros, H. G., On the blocking process in queuing networks, European J. Operations Res., 5, 276-283 (1980) · Zbl 0444.90036
[8] Hillier, F. S.; Boling, R., Finite queues in series with exponential or Erlang service times—A numerical approach, Operations Res., 15, 286-303 (1967) · Zbl 0171.16302
[9] Hunt, G., sequential arrays of waiting lines, Operations Res., 4, 674-683 (1956) · Zbl 1414.90106
[10] Konheim, G.; Reiser, M., A queuing model with finite waiting room and blocking, J. ACM, 23, 328-341 (1976) · Zbl 0327.68059
[11] Lavenberg, S. S., The steady-state queuing time distribution for the \(M/G/1\) finite capacity queue, Management Sci., 21, 501-506 (1975) · Zbl 0302.60058
[12] R. Marie and J. Pellaumail, Steady-state probabilities for a queue with a general service distribution and state dependent arrival rates, IRISA, Campus Universitaire de Beaulieu, 35042 Rennes Cedex.; R. Marie and J. Pellaumail, Steady-state probabilities for a queue with a general service distribution and state dependent arrival rates, IRISA, Campus Universitaire de Beaulieu, 35042 Rennes Cedex. · Zbl 0502.60081
[13] Neuts, M. F., Computational uses of the method of phases in the theory of queues, Comput. Math. Appl., 1, 151-166 (1975) · Zbl 0338.60064
[14] Neuts, M. F., Two queues in series with a finite intermediate waiting room, J. Appl. Probability, 5, 123-142 (1968) · Zbl 0157.25402
[15] Pittel, B., Closed exponential networks of queues with blocking, (IBM Research Report No. 26548 (1976), IBM T.J. Watson Research Center: IBM T.J. Watson Research Center Yorktown, NY) · Zbl 0418.60089
[16] Takahashi, Y.; Miyahara, H.; Hasegawa, T., An approximation method for open restricted queuing networks, Operations Res., 28, 594-602 (1980) · Zbl 0442.90025
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.