Abstract
Queueing Theory is very briefly reviewed in its aspect as a discipline applied in engineering design. The second part of the lecture is on recent developments in the mathematical analysis of basic queueing models with a two-dimensional state space.
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References
Cohen, J.W. The Single Server Queue, North-Holland Publ. Co., Amsterdam, 1982, revised edition.
Cohen, J.W. On up-and-down crossings, J. Appl. Prob. 14 (1977) 405–410.
Schassberger, R. Warteschlangen, Springer Verlag, New York, 1973.
Neuts, M.F. Matrix-Geometric Solutions in Stochastic Models: An Algorithmic Approach, Johns Hopkins Univ. Press, Baltimore, 1981.
Franken, P., König, D., Arndt, U., Schmidt, V. Queues and Point Processes, Akademie Verlag, Berlin, 1981.
Kleinrock, L. Queueing Systems, I, II, Wiley, New York, 1975, 1976.
Kobayashi, H. Modeling & Analysis, Addison-Wesley, Reading, MA, 1978.
Fayolle, G. & Iasnogorodski, R. Two coupled processors: the reduction to Riemann-Hilbert Problem, Z.Wahrsciu Verw. Gebiete 47 (1979) 325–351.
Cohen, J.W. & Boxma, O.J. Boundary Value Problems in Oueueing System Analysis, to appear North-Holland Publ. Co., Amsterdam, 1983.
Boxma, O.J. & Donk, P. On response time and cycle time distributions in a two-stage cyclic queue, Performance Evaluation 2 (1982) 181–194.
Lam, S.S. Dynamic scaling and growth behaviour of queueing networks normalisation constants, Journ. ACM 29 (1982) 492–513.
Rubinstein, R.Y. Simulation and the Monte Carlo Method, Wiley, New York, 1981.
Tijms, H.C. & van Hoorn, M.H. Computational methods for Single Server and Multi-Server Queues with random and quasi random input, Report Vrije Univ Dept. Econ. Amsterdam, to appear in Proc. TIMS ed. Disney, Birkhäuser, Boston.
Bremaud, P. Point Processes and Queues, Martingale Dynamics, Springer Verlag, New York, 1981.
Blanc, J.P.C. Application of the theory of boundary value problems in the analysis of a queueing model with paired services. Doctor’s thesis, Math. Inst., Univ. of Utrecht, Netherlands.
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© 1983 Springer-Verlag Berlin Heidelberg
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Cohen, J.W. (1983). On Queueing Theory and Two-Dimensional Queueing Models. In: Kühn, P.J., Schulz, K.M. (eds) Messung, Modellierung und Bewertung von Rechensystemen. Informatik-Fachberichte, vol 61. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-68830-0_8
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DOI: https://doi.org/10.1007/978-3-642-68830-0_8
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