In:
ACM Transactions on Mathematical Software, Association for Computing Machinery (ACM), Vol. 43, No. 3 ( 2017-09-30), p. 1-22
Abstract:
Markov chains (MC) are a powerful tool for modeling complex stochastic systems. Whereas a number of tools exist for solving different types of MC models, the first step in MC modeling is to define the model parameters. This step is, however, error prone and far from trivial when modeling complex systems. In this article, we introduce jMarkov, a framework for MC modeling that provides the user with the ability to define MC models from the basic rules underlying the system dynamics. From these rules, jMarkov automatically obtains the MC parameters and solves the model to determine steady-state and transient performance measures. The jMarkov framework is composed of four modules: (i) the main module supports MC models with a finite state space; (ii) the jQBD module enables the modeling of Quasi-Birth-and-Death processes, a class of MCs with infinite state space; (iii) the jMDP module offers the capabilities to determine optimal decision rules based on Markov Decision Processes; and (iv) the jPhase module supports the manipulation and inclusion of phase-type variables to represent more general behaviors than that of the standard exponential distribution. In addition, jMarkov is highly extensible, allowing the users to introduce new modeling abstractions and solvers.
Type of Medium:
Online Resource
ISSN:
0098-3500
,
1557-7295
Language:
English
Publisher:
Association for Computing Machinery (ACM)
Publication Date:
2017
detail.hit.zdb_id:
2006421-4
detail.hit.zdb_id:
191812-6
