This article comments upon some new developments in the field of Queuing Theory and Markov Processes. Matrix--analytic methods are used to solve particular kinds of a Markov Processes. The level dependent quasi--birth-- death process (LDQBD) is an example of a matrix-analytic model, and in this article we give the background on how queues are modelled with Markov Processes which leads to some new mathematics to overcome problems in modelling particular situations. We conclude by outlining new methods used to numerically calculate results for a LDQBD process.
|Title of host publication||1st international conference on information technology and applications, ICITA 2002|
|Place of Publication||Bathurst, Australia|
|Publisher||Charles Sturt University|
|Number of pages||6|
|Publication status||Published - 2002|
|Event||International Conference on Information Technology and Applications - Bathurst, NSW, Australia|
Duration: 25 Nov 2002 → 29 Nov 2002
|Conference||International Conference on Information Technology and Applications|
|Period||25/11/02 → 29/11/02|
Thorne, J. (2002). Modelling Complex Queuing Situations with Markov Processes. In D. Tien (Ed.), 1st international conference on information technology and applications, ICITA 2002 (pp. 1-6). Charles Sturt University.