Isomorphs of a class of Queueing systems

International Journal of Mathematics and Mathematical Sciences

A.Ghosal¹  SudhirMadan² 

[1] Operational Research group, CSIR, New Delhi, India;University of Delhi, India;

关键词: isomorph;    restricted isomorph;    quasi-restricted (Q. R.) isomorph;    waiting time;    queue size;    idle time;    gamma distribution.;   

DOI  :  10.1155/S0161171279000107

来源: DOAJ

【 摘 要 】

Restricted isomorphism between two queueing systems implies that they have equivalent distribution function for at least one (but not all) output elements (e.g. waiting time, queue size, idle time, etc.). Quasi-isomorphism implies an approximate equivalence. Most of the single-server queueing systems can be approximated by a quasi-isomorphic system which has a gamma inter-arrival and gamma service distributions (Ep/Eq/1).

【 授权许可】

Unknown