Enter your search into one or more of the boxes below:
You can refine your search by selecting from any of the options below:
The M/M/â  Service System with Ranked Servers in Heavy Traffic
Foyalty 273

The M/M/â Service System with Ranked Servers in Heavy Traffic (Paperback)

Usually despatched within 2 weeks.


We are concerned here with a service facility consisting of a large (- finite) number of servers in parallel. The service times for all servers are identical, but there is a preferential ordering of the servers. Each newly arriving customer enters the lowest ranked available server and remains there until his service is completed. It is assumed that customers arrive according to a Poisson process of rate A , that all servers have exponentially distributed service times with rate ~ and that a = A/~ is large compared with 1. Generally, we are concerned with the stochastic properties of the random function N(s ,t) describing the number of busy servers among the first s ordered servers at time t. Most of the analysis is motivated by special applications of this model to telephone traffic. If one has a brunk line with s primary channels, but a large number (00) of secondary (overflow) channels, each newly arriving customer is assigned to one of the primary channels if any are free; otherwise, he is assigned to a secondary channel. The primary and secondary channels themselves could have a preferential ordering. For some purposes, it is convenient to imagine that they did even if an ordering is irrelevant.

BusinessBusiness & managementOperational researchBusinessIndustry & industrial studiesScience & MathematicsMathematicsApplied mathematicsMathematical modelling Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 01/09/1984 ISBN-13: 9783540133773  Details: Type: Paperback Format: Books
Availability: Usually despatched within 2 weeks. Login for Quick Checkout Add to Basket

More books by Gordon Frank Newell

More books by Franz Ferschl

Leave Review


Delivery Options

All delivery times quoted are the average, and cannot be guaranteed. These should be added to the availability message time, to determine when the goods will arrive. During checkout we will give you a cumulative estimated date for delivery.

Location 1st Book Each additional book Average Delivery Time
UK Standard Delivery FREE FREE 3-5 Days
UK First Class £4.50 £1.00 1-2 Days
UK Courier £7.00 £1.00 1-2 Days
Western Europe** Courier £17.00 £3.00 2-3 Days
Western Europe** Airmail £5.00 £1.50 4-14 Days
USA / Canada Courier £20.00 £3.00 2-4 Days
USA / Canada Airmail £7.00 £3.00 4-14 Days
Rest of World Courier £22.50 £3.00 3-6 Days
Rest of World Airmail £8.00 £3.00 7-21 Days

** Includes Austria, Belgium, Denmark, France, Germany, Greece, Iceland, Irish Republic, Italy, Luxembourg, Netherlands, Portugal, Spain, Sweden and Switzerland.

Delivery Help & FAQs

Returns Information

If you are not completely satisfied with your purchase*, you may return it to us in its original condition with in 30 days of receiving your delivery or collection notification email for a refund. Except for damaged items or delivery issues the cost of return postage is borne by the buyer. Your statutory rights are not affected.

* For Exclusions and terms on damaged or delivery issues see Returns Help & FAQs

You might also like

Comprehensive Applied Mathematical...
David J. Wollkind; Bonni J. Dichone
Manufacturing: Mathematical Models,...
Zainul Huda
© W&G Foyle Ltd
Foyles uses cookies to help ensure your experience on our site is the best possible. Click here if you’d like to find out more about the types of cookies we use.
Accept and Close