Optimal selection of buffers in a tandem finite capacity G/M/1 queueing system

✍ Scribed by Behnam Pourbabai

• Publisher: Elsevier Science
• Year: 1989
• Tongue: English
• Weight: 631 KB
• Volume: 25
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(89)90056-3

✦ Synopsis

Given that the &stnbutlon of the mterarnval time of the amval process of a tandem queuemg system consisting of a set of fimte capacRy G/M/1 queuemg systems, each wRh generally dtstnbuted mterarnval time (t e G), a single Markovtan server (t e M), and the first come first served queuemg dtsophne (t e 1) are given and the acceptable probabthty of findmg each queuemg system blocked and the servme rates are specified, a heunstic aigonthm is presented for selecting the mtmmum buffer sizes such that the resulting probablhty of finding each fimte capacRy G/M/I queuemg system blocked (e g full) will be equal to Rs corresponding acceptable blocking probabthty Furthermore, numencal results are presented, and the approximation outcomes are compared against those from a mmulatton study *