Open AccessPerformance Evaluation and Dimensioning of Systems through Kernel Estimation
Author(s) -
G. M. Gontijo,
G. S. Atuncar,
F.R.B. Cruz,
Laoucine Kerbache
Publication year - 2011
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2011/348262
Subject(s) - computer science , queueing theory , queue , dimensioning , kernel (algebra) , smoothing , kernel density estimation , queueing system , mathematical optimization , fifo (computing and electronics) , real time computing , bulk queue , queue management system , mathematics , statistics , computer network , engineering , operating system , combinatorics , estimator , computer vision , aerospace engineering
We extend the analysis of queueing systems for real-life situations, where the arrival pattern of customers is unknown. In real systems, we must understand how the choice of a method of estimation influences the configuration of the system. Using kernel smoothing, we evaluate algorithms to estimate performance measures of a /// system, including the invariant probability distribution of the number of customers in the system, the blocking probability, the average queue size, and the average client queue time. We successfully apply the method to the arrivals to a call center to plan and improve the performance of these important queueing systems
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