State-dependent transitions in discrete stochastic models: Deterministic simulation approach

Sanja Lazarova-Molnar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

It is more than obvious that once something has been broken and fixed (or even glued back together in some cases), the chance that it will break again is higher than before the breaking. This implies that the probability distribution function that describes the event (e.g. breaking) changes each time the object breaks. This is a situation that is possible to simulate using discrete-event simulation (DES). Deterministic simulation of such a scenario is however almost impossible or at least horribly complicated even for the most simple cases. This class of transitions (events) in theory is known as state-dependent. In our paper we show how discrete stochastic models that involve state-dependent events can be modeled and simulated in a deterministic manner. For this purpose we use the proxel-based simulation method (PBM). In addition, we also redefine state-dependent transitions, such as to reflect non-Markovian behavior in context of the proxel-based method. The benefits of our approach as opposed to DES are again the well known properties of the proxel-based method, i.e. controllability of the accuracy, its flexibility and the smooth transient solution that it produces.

Original languageEnglish
Title of host publicationSummer Computer Simulation Conference 2008, SCSC 2008, Part of the 2008 Summer Simulation Multiconference, SummerSim 2008
Pages85-90
Number of pages6
Publication statusPublished - Dec 1 2008
EventSummer Computer Simulation Conference 2008, SCSC 2008, Part of the 2008 Summer Simulation Multiconference, SummerSim 2008 - Edinburgh, United Kingdom
Duration: Jun 16 2008Jun 19 2008

Publication series

NameSummer Computer Simulation Conference 2008, SCSC 2008, Part of the 2008 Summer Simulation Multiconference, SummerSim 2008

Other

OtherSummer Computer Simulation Conference 2008, SCSC 2008, Part of the 2008 Summer Simulation Multiconference, SummerSim 2008
Country/TerritoryUnited Kingdom
CityEdinburgh
Period6/16/086/19/08

Keywords

  • Deterministic simulation
  • Proxel-based method
  • State redefiniton
  • State-dependent transitions

ASJC Scopus subject areas

  • Modelling and Simulation

Fingerprint

Dive into the research topics of 'State-dependent transitions in discrete stochastic models: Deterministic simulation approach'. Together they form a unique fingerprint.

Cite this