English, Article, Journal or magazine article edition: A Single-Server Queue with Markov Modulated Service Times Yong-Pin Zhou; Noah Gans

User activity

Share to:
 
Bookmark: http://trove.nla.gov.au/version/190561
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • A Single-Server Queue with Markov Modulated Service Times
Author
  • Yong-Pin Zhou
  • Noah Gans
Physical Description
  • preprint
Notes
  • We study an M/​MMPP/​1 queuing system, where the arrival process is Poisson and service requirements are Markov modulated. When the Markov Chain modulating service times has two states, we show that the distribution of the number-in-system is a superposition of two matrix-geometric series and provide a simple algorithm for computing the rate and coefficient matrices. These results hold for both finite and infinite waiting space systems and extend results obtained in Neuts [5] and Naoumov [4]. Numerical comparisons between the performance of the M/​MMPP/​1 system and its M/​G/​1 analogue lead us to make the conjecture that the M/​MMPP/​1 system performs better if and only if the total switching probabilities between the two states satisfy a simple condition. We give an intuitive argument to support this conjecture.
  • RePEc:wop:pennin:99-40
Language
  • English
Contributed by
OAIster

Get this edition

Other links

  • Set up My libraries

    How do I set up "My libraries"?

    In order to set up a list of libraries that you have access to, you must first login or sign up. Then set up a personal list of libraries from your profile page by clicking on your user name at the top right of any screen.

  • All (1)
  • Unknown (1)
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.

User activity


e.g. test cricket, Perth (WA), "Parkes, Henry"

Separate different tags with a comma. To include a comma in your tag, surround the tag with double quotes.

Be the first to add a tag for this edition

Be the first to add this to a list

Comments and reviews

What are comments? Add a comment

No user comments or reviews for this version

Add a comment