The M/G/1 Queue with Delayed Feedback.

Abstract

The M/G/1 queue with delayed feedback is a two node queueing network. External arrivals to node one from a Poisson process. Node one has a general server with an unlimited queue capacity and a first come, first serve queue discipline. After completing service a customer either departs from the network or feeds back to node two. Node two delays customers before allowing them to reenter node one. The delay is modelled as a ./M/1 queue. After completing service at node two, a customer reenters node one. Thus the total input process to node one consists of exogenous arrivals and endogenous reentries from node two. The probability of a customer feeding back is allowed to depend on the queue length at nodes one and two and on the service time of the customer at node one. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1979
Accession Number
ADA088523

Entities

People

  • Robert Doyle Foley

Organizations

  • Virginia Tech

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Engineering
  • Ergodic Processes
  • Feedback
  • Geometric Forms
  • Information Science
  • Markov Chains
  • Markov Processes
  • Michigan
  • Network Science
  • New York
  • Probability
  • Probability Distributions
  • Queueing Theory
  • Random Variables
  • Stochastic Processes
  • Two Dimensional
  • Universities

Fields of Study

  • Computer science

Readers

  • Computer Networking
  • Mathematical Modeling and Probability Theory.