You might also like

More about M/M/ Service System with Ranked Servers in Heavy Traffic

• Book details
• Synopsis
• Trending among others

You get 175 loyalty points

Book synopsis

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.

Book details

Book category Knihy po anglicky Mathematics & science Mathematics Applied mathematics

• Full title: M/M/ Service System with Ranked Servers in Heavy Traffic
• Author: Gordon Frank Newell
• Language: English
• Binding: Paperback
• Number of pages: 129
• EAN: 9783540133773
• ISBN: 9783540133773
• ID: 06623018
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Weight: 262 g
• Dimensions: 244 × 170 × 9 mm
• Date of publishing: 01. September 1984

Trending among others

---

---

---