Abstract
AbstractPrevious studies have shown that the distribution of mean waiting times of different classes of customers is different for each class in a GI/G/1 queue with FIFO discipline. This experimental simulation study is motivated by those results as it investigates which are the conditions causing a difference of mean waiting times between two classes of customers using a FIFO discipline. Results from the study show that having a difference in the squared coefficient of variation of inter-arrival times between classes is the most important factor to determine whether a difference of mean waiting times between two classes exists. Furthermore, if a difference of mean service times between the two classes exists, the class with the highest mean service time will tend to have the smallest mean waiting time between the two classes, resulting in an unfair policy.
Highlights
Multi-class queueing systems are used to represent systems where inter-arrival and service processes cannot be modelled by a single probability function because different types of customers with different behaviours arrive to the server facilities in order to be processed.Rodrigo Romero-SilvaABOUT THE AUTHORSRodrigo Romero-Silva received his PhD in Industrial Engineering in 2012 by TECNUN, University of Navarra, Spain
In 79 of those experiments it was found that no statistically significant differences were present between the mean waiting times of class 1 and class 2
Various experiments did not have statistically significant differences between mean waiting times when the arrival rate was different between classes and the service rate remained constant (“Arrival” as the source of differences in load between classes)
Summary
Rodrigo Romero-Silva received his PhD in Industrial Engineering in 2012 by TECNUN, University of Navarra, Spain. His research focus is concerned with the effects of variability on the performance of production and service systems. Margarita Hurtado Hernandez holds a PhD in Industrial Engineering (Universidad de Navarra, Spain). She is the current Director of the Industrial Engineering Bachelor and Professor of the Operations Management Department at Universidad Panamericana (Mexico). She’s the co-author of the books “El Puente” and “Top 60 mistakes made by Small and Medium Businesses and how to avoid them”
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