Abstract
In telephone networks the switching and connecting operations are performed by the exchanges. The Stored Program Control (SPC) exchanges which are nowadays installed are computer controlled. One of the problems with these exchanges is the severe performance degradation during periods in which the demand for service exceeds the design capacity. The problem of overload control is then to maximize the number of successfully completed calls. In this paper two models for overload control of an SPC exchange are proposed that are refinements of an earlier model. A stochastic control problem for one of these models is shown to have a bang-bang type of optimal solution.
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References
B. Bengtsson (1982). On some control problems for queues, Ph.D. thesis, Linköping University, Linköping.
R.K. Boel, P. Varaiya (1977). Optimal control of jump processes. SIAM J. Control Optim. 15, 92–119.
R.K. Boel (to appear). Modelling, estimation and prediction for jump processes. Advances in statistical signal processing, volume 1, JAI Press.
P. Brémaud (1981). Point processes and queues — Martingale dynamics, Springer-Verlag, Berlin.
L.J. Forys (1983). Performance analysis of a new overload strategy. 10th International Teletraffic Congress (ITC).
R.L. Franks, R.W. Rishel (1973). Overload model of telephone network operation. Bell System Tech. J. 52, 1589–1615.
B. Karlander (1973). Control of central processor load in an SPC system. Ericsson Technics 30, 221–243.
F.C. Schoute (1981). Optimal control and call acceptance in a SPC exchange. 9th International Teletraffic Congres.
F.C. Schoute (1983). The technical queue: A model for definition and estimation for processor loading, Report SR2200-83-3743, Philips Telecommunicatie Industrie, Dept. SAS, Hilversum.
F.C. Schoute (1983). Adaptive overload control of an SPC exchange. 10th International Teletraffic Congress.
M. Sobel (1974). Optimal operation of queues. A.B. Clarke (ed.). Mathematical methods in queueing theory, Lecture Notes in Economics and Mathematical System, volume 98, Springer-Verlag, Berlin, 231–261.
S. Stidham Jr., N.U. Prabhu (1974). Optimal control of queueing systems. A.B. Clarke (ed.). Mathematical methods in queueing theory, Lecture Notes in Economics and Mathematical Systems, volume 98, Springer-Verlag, Berlin, 263–294.
J.H. van Schuppen (1984). Overload control for an SPC telephone exchange — An optimal stochastic control approach, Report OS-R8404, Centre for Mathematics and Computer Science, Amsterdam.
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© 1986 Springer-Verlag
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Boel, R.K., van Schuppen, J.H. (1986). Overload control for SPC telephone exchanges — refined models and stochastic control. In: Christopeit, N., Helmes, K., Kohlmann, M. (eds) Stochastic Differential Systems. Lecture Notes in Control and Information Sciences, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0041152
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DOI: https://doi.org/10.1007/BFb0041152
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