Performance Evaluation and Dimensioning of Systems through Kernel Estimation
| Autor: | Frederico R. B. Cruz, Laoucine Kerbache, G. S. Atuncar, G. M. Gontijo |
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| Rok vydání: | 2011 |
| Předmět: |
Mathematical optimization
Queueing theory Article Subject Computer science lcsh:Mathematics General Mathematics Real-time computing Kernel density estimation General Engineering Fork–join queue lcsh:QA1-939 lcsh:TA1-2040 Kernel smoother M/G/1 queue Probability distribution lcsh:Engineering (General). Civil engineering (General) Queue Bulk queue |
| Zdroj: | Mathematical Problems in Engineering, Vol 2011 (2011) |
| ISSN: | 1563-5147 1024-123X |
| DOI: | 10.1155/2011/348262 |
| Popis: | 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 𝐺 𝐼 𝑋 / 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. |
| Databáze: | OpenAIRE |
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