Skip Navigation



IMA Journal of Management Mathematics Advance Access published online on July 10, 2008
IMA Journal of Management Mathematics, doi:10.1093/imaman/dpn011
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Csenki, A.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The authors 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Service facilities with Markovian demand and deterministic supply with an application in repair modelling

Attila Csenki{dagger}

School of Informatics, University of Bradford, Bradford, West Yorkshire BD7 1DP, UK

{dagger} Email: a.csenki{at}bradford.ac.uk

Received on 24 September 2007. Accepted on 3 June 2008.

Recent research by the author was concerned with systems modelled by two processes, the ‘supply’ process and the ‘demand’ process. The systems modelled thereby were such that the goods produced were not storable and were lost if not consumed immediately. In the present paper, we continue this earlier research, now assuming that supply is deterministic and demand is modelled by an irreducible Markov process with a finite, partitioned state space. Combining an earlier result with ‘propositional calculus’, a closed-form expression is obtained for the probability that demand will be met by supply during the first k supply periods. As an application, two repair disciplines for a small computer network will be examined. The computational tool used is SCILAB, a free numerical package run on LINUX.

Keywords: Markov model; propositional calculus; supply and demand; transient analysis; repair; SCILAB


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.