Multi-Server Queues.

Abstract

We will survey a variety of multiserver models in which the arrival stream is a Poisson process. In particular, we will consider the Erlang loss model in which arrivals finding all servers busy are lost. In this system, we assume a general service distribution. We will also consider finite and infinite capacity versions of this model. Another model of this type is the shared processor system in which service is shared by all customers. Another model to be considered is the G/M/K in which arrivals are in accordance with a renewal process and the service distribution is exponential. We will analyze this model by means of the embedded Markov chain approach. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1981
Accession Number
ADA101851

Entities

People

  • Sheldon M. Ross

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • California
  • Equations
  • Equations Of State
  • Industrial Engineering
  • Markov Chains
  • Markov Processes
  • Operations Research
  • Probability
  • Random Variables
  • Scientific Research
  • Steady State
  • Stochastic Processes
  • United States
  • United States Government
  • Workload

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.