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Performance Evaluation and Dimensioning of GIX/M/c/N Systems Through Kernel Estimation

Laoucine Kerbache (), G. M. Gontijo, G. S. Atuncar and F.R.B. Cruz
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Laoucine Kerbache: GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique

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Abstract: 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 GIx/M/c/N 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.

Keywords: Performance Evaluation; Dimensioning; GIX/M/c/N System; Kernel Estimation (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (5)

Published in Mathematical Problems in Engineering, 2011, 2011, pp.NC. ⟨10.1155/2011/348262⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00796342

DOI: 10.1155/2011/348262

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