Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Approximate Behavior of Tandem Queues

Approximate Behavior of Tandem Queues

Newell, G. F.

Paperback

Series: Lecture Notes in Economic and Mathematical Systems, Book 171

Business GeneralEconomics

ISBN10: 3540095527
ISBN13: 9783540095521
Publisher: Springer Nature
Published: Sep 1 1979
Pages: 414
Weight: 1.49
Height: 0.87 Width: 6.69 Depth: 9.61
Language: English
The following monograph deals with the approximate stochastic behavior of a system consisting of a sequence of servers in series with finite storage between consecutive servers. The methods employ deterministic queueing and diffusion approximations which are valid under conditions in which the storages and the queue lengths are typically large compared with 1. One can disregard the fact that the customer counts must be integer valued and treat the queue as if it were a (stochastic) continuous fluid. In these approximations, it is not necessary to describe the detailed probability distribution of service times; it suffices simply to specify the rate of service and the variance rate (the variance of the number served per unit time). Specifically, customers are considered to originate from an infinite reservoir. They first pass through a server with service rate O' vari- ance rate O' into a storage of finite capacity c . They then pass l through a server with service rate l' variance rate l' into a storage of capacity c ' etc., until finally, after passing through an nth server, 2 they go into an infinite reservoir (disappear). If any jth storage become, n, the service at the j-lth server is interrupted full j = 1, 2, and, of course, if a jth storage becomes empty the jth server is inter- rupted; otherwise, services work at their maximum rate.

Also in

Economics

View All