PPT-Queuing Theory 2

HSPM J716 Simple queue model assumes Constant average arrival rate λ and service rate μ Independence One arrival doesnt make another arrival more or less likely The average length of service doesnt change regardless of . REISER IBM Zurich Research Laboratory Ruschhkon Switzerland AND S S LAVENBERG IBM Thomas J Watson Research Center Yorktown Heights New York ABSTRACT It tS shown that mean queue sizes mean waiting tunes and throughputs in closed multiplecham queuing WILLIAMSON IBM T J Watson Research Center Yorktown Heights New York Abstract We consider packet routing when packets are injected continuously into a network We develop an adversarial theory of queuing aimed at addressing some of the restrictions in Patel Rajeshkumar M Chaudhary Pragnesh A Patel 3 and Dr Prashant Makwana 4 Abstract Today n o body interested to wait for food in restaurant Some restaurants initially provide more waiting chairs for customers However waiting chairs alone would n belllabscom AJ JI IV IJ JA AY YA AK KU UM MA AR University of Michigan Ann Arbor Michigan Email rvijayak enginumichedu HI IL HI IT TI IN NG Bell Labs Lucent Technologies Murray Hill New Jersey 07974 Email pwhiting researchbelllabscom We consider the rresponding author. Trong B. Tran Tel: +61 2 9385 4290; fax: +612 9385 6139; Email: tran.trong@student.unsw.edu.au ternational Conference on Innovation, Management and Service IPEDR vol.14(2011) Queuing Theory represents the body of knowledge dealing with waiting lines.. Most queuing problems focus on determining the level of service that a company should provide.. Queuing Theory. Queuing Systems Configurations. Select “Tools > Solve Process Settings…”. Select “My Computer, Background” and specify the “Licence”. Queuing ANSYS jobs on a local machine. Change “Update Option” and “Solve Process Setting” as shown. -1- WHY QUEUING ANALYSIS? ...................................................................................... 2 QUEUING MODELS ...................................................................... Queuing Theory aaron@routeralley.com ),unless otherwise noted. All other material copyright James Kovacs. JamesKovacs.com. jkovacs@post.harvard.edu. Performance. Application A. 40 Requests per second. Application B. 20 Requests per second. Scalability. Is 20 Requests per Second Enough?. 20 requests per second. (. Waiting Line Models). Queuing theory.  . is . the mathematical study of waiting lines which are the most frequently encountered problems in everyday life. .. . For example, queue at a cafeteria, library, bank, etc. . Jean-Yves Le Boudec. 1. All You Need to Know About Queuing Theory. Queuing is essential to understand the . behaviour. of complex computer and communication systems. In depth analysis of queuing systems is hard. 1.0 INTRODUCTION Queuing is by all accounts evident in the present society. Waiting Lines form when the demand for a service surpasses its supply. In hospitals, patients can hold up a certain timefr