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Book
Approximate behavior of tandem queues
Author:
ISBN: 3540095527 3642464106 9783540095521 Year: 1979 Volume: 171 Publisher: Berlin Springer


Book
On regenerative processes in queueing theory
Author:
ISBN: 3540076271 364295281X 9783540076278 Year: 1976 Volume: 121 Publisher: Berlin Springer

Mathematical methods in queuing theory
Author:
ISBN: 0792325680 904814339X 9401721971 Year: 1994 Publisher: Dordrecht Kluwer

Foundations of queueing theory.
Author:
ISBN: 0792399625 9780792399629 Year: 1997 Publisher: Boston Kluwer


Book
Elements of queueing theory : with applications
Author:
ISBN: 0486645533 Year: 1983 Publisher: New York (N.Y.): Dover


Book
Applications of queueing theory
Author:
ISBN: 0412107708 9780412107702 Year: 1971 Publisher: London Chapman and Hall

Approximate stochastic behavior of n-server service systems with large n
Author:
ISBN: 3540063668 0387063668 364265651X 9783540063667 Year: 1973 Volume: 87 Publisher: Berlin Springer

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Abstract

For many stochastic service systems, service capacities large enough to serve some given customer demand is achieved simply by providing multiple servers of low capacity; for example, toll plazas have many toll collectors, banks have many t- lers, bus lines have many buses, etc. If queueing exists and the typical queue size is large compared with the number n of servers, all servers are kept busy most of the time and the service behaves like some "effective" single server wit:l mean se.- vice time lin times that of an actual server. The behavior of the queueing system can be described, at least approximately, by use of known results from the much studied single-channel queueing system. For n» 1 , however, (we are thinking p- ticularlyof cases in which n ~ 10), the system may be rather congested and quite sensitive to variations in demand even when the average queue is small compared with n. The behavior of such a system will, generally, differ quite significantly from any "equivalent" single-server system. The following study deals with what, in the customary classification of queueing systems, is called the G/G/n system; n servers in parallel with independent s- vice times serving a fairly general type of customer arrival process. rhe arrival rate of customers may be time-dependent; particular attention is given to time - pendence typical of a "rush hour" in which the arrival rate has a single maximum possibly exceeding the capacity of the service.

Mathematical methods in queueing theory
Author:
ISBN: 3540067639 0387067639 3642808387 9783540067634 Year: 1974 Volume: 98 Publisher: Berlin Springer

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Abstract

On May 10-12, 1973 a Conference on Mathematical Methods in Graph Theory was held at Western Michigan University in Kalamazoo. The theme of this Conference was recent advances in the application of analytic and algebraic methods to the analysis of queues and queueing networks. In addition some discussion was given to statistical analy­ ses in queues, control problems and graphical methods. A total of 83 individuals from both industry and academic estab­ lishments participated in the Conference. A list of these partici­ pants can be found on page 373. A total of 18 papers were presented, with sUbstantial time being devoted to their informal discussion. This volume constitutes the proceedings of the Conference, and includes all papers presented. TABLE OF CONTENTS MARCEL F. NEUTS The Markov Renewal Branching Process • 1 RALPH L. DISNEY and W. PETER CHERRY Some Topics in Queueing Network Theory 23 JULIAN KEILSON Convexity and Complete Monotonicity in Queueing Distributions and Associated Limit Behavior . • • • • • . . • • • •• • • 45 G. F. NEWELL Graphical Representation of Queue Evolution for Multiple-Server Systems • . • • • • • • • • • • 63 N. U. PRABHU Wiener-Hopf Techniques in Queueing Theory 81 / IAJOS TAKACS Occupation Time Problems in the Theory of Queues 91 TAPAN P. BAGCHI and J. G. C. TEMPLETON Some Finite waiting Space Bulk Queueing Systems 133 U.

Queueing networks and product forms : a systems approach
Author:
ISBN: 0471928488 9780471928485 Year: 1993 Publisher: Chichester Wiley

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