The Application of Phase Type Distributions for Modelling Queuing Systems

Journal of Systemics, Cybernetics and Informatics

EIMUTIS VALAKEVICIUS¹ 

[1] Kaunas University of Technology;

关键词: Queuing Approximation;    Numerical Model;    Phase Type Distributions;    Distribution Fitting;    Markov Chain;   

DOI  :  

来源: DOAJ

【 摘 要 】

Queuing models are important tools for studying the performance of complex systems, but despite the substantial queuing theory literature, it is often necessary to use approximations in the case the system is nonmarkovian. Phase type distribution is by now indispensable tool in creation of queuing system models. The purpose of this paper is to suggest a method and software for evaluating queuing approximations. A numerical queuing model with priorities is used to explore the behaviour of exponential phase-type approximation of service-time distribution. The performance of queuing systems described in the event language is used for generating the set of states and transition matrix between them. Two examples of numerical models are presented – a queuing system model with priorities and a queuing system model with quality control.

【 授权许可】

Unknown