Reducing the Variance of Sojourn Times in Multiclass Queueing Systems (Classic Reprint) - Softcover

Wein, Lawrence M.

Softcover

ISBN 10: 1332881432 ISBN 13: 9781332881437

Verlag: Forgotten Books, 2016

Inhaltsangabe

Excerpt from Reducing the Variance of Sojourn Times in Multiclass Queueing Systems

Consider a single server queue visited by K customer classes who arrive according to independent renewal processes with average arrival rates M. K 1, Each customer class has a general service time distribution with mean mi. And finite variance, and each customer exits the system after receiving service. Therefore, the traffic intensity of the queueing system is p 2:l Akmk. Let Qk(t) be the number of class 1: customers in the system at time t, and let I(i) be the cumulative amount of time that the server is idle up to time t. The Brownian model assumes the existence of a large integer n such that flu p) is positive and of moderate size; a representative example is p 9 and n 100. The system parameter n is used to define the rescaled processes Z (zk) and U by Zk(t) and eu) for t 2 0, and the Brownian control problem is obtained by letting the parameter n approach infinity.

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Details zur Ausgabe

• Verlag: Forgotten Books
• Erscheinungsdatum: 2016
• Sprache: Englisch
• ISBN 10: 1332881432
• ISBN 13: 9781332881437
• Einband: Taschenbuch
• Anzahl der Seiten: 46
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