عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
3540133771
(Number (ISBN
364245576X
(Number (ISBN
9783540133773
(Number (ISBN
9783642455766
NATIONAL BIBLIOGRAPHY NUMBER
Number
b568202
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
The M/M/[infinity]Service System with Ranked Servers in Heavy Traffic
General Material Designation
[Book]
First Statement of Responsibility
by G.F. Newell.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin, Heidelberg
Name of Publisher, Distributor, etc.
Springer Berlin Heidelberg
Date of Publication, Distribution, etc.
1984
SERIES
Series Title
Lecture notes in economics and mathematical systems, 231.
CONTENTS NOTE
Text of Note
1. Introduction --; 2. Limit properties for a » 1 --; 3. Descriptive properties of the evolution --; 4. The overflow distribution --; 5. Joint distributions --; 6. A diffusion equation --; 7. Transient properties --; 8. Equilibrium properties of the diffusion equation --; 9. Equivalent random method --; Index of Notation.
SUMMARY OR ABSTRACT
Text of Note
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.
TOPICAL NAME USED AS SUBJECT
Economics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
by G.F. Newell.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
G F Newell
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
