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Diffusion approximation for a controlled service system. (English) Zbl 0502.60083


MSC:

60K30 Applications of queueing theory (congestion, allocation, storage, traffic, etc.)
60J70 Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)
90B22 Queues and service in operations research
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References:

[1] P. Billingsley: Convergence of Probability Measures. Wiley, New York 1968. · Zbl 0172.21201
[2] V. Lánská: On optimizing a one-server system with several types of customers. Math. Operationsforsch. Statist., Ser. Optim. 11 (1980), 2, 333 - 339.
[3] P. Mandl: Analytical Treatment of One-dimensional Markov Processes. Academia, Prague - Springer - Verlag, Berlin 1968. · Zbl 0179.47802
[4] P. Mandl: On aggregating controlled Markov chains. Contributions to Statistics (J. Jurečková, Academia, Prague 1979, 136-156. · Zbl 0431.93063
[5] D. W. Stroock S. R. Varadhan: Diffusion processes with continuous coefficients. Comm. Pure Appl. Math. XXII (1969), 345-400, 479-530. · Zbl 0167.43903 · doi:10.1002/cpa.3160220304
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