Document Type
Article
Publication Date
2020
DOI
10.1590/0101-7438.2020.040.00223190
Publication Title
Pesquisa Operacional
Volume
40
Pages
e223190 (1-29)
Abstract
Previous studies have shown that the mean queue length of a GI/G/1 system is significantly influenced by the skewness of inter-arrival times, but not by the skewness of service times. These results are limited because all the distributions considered in previous studies were positively skewed. To address this limitation, this paper investigates the effects of the skewness of inter-arrival and service times on the probability distribution of waiting times, when a negatively skewed distribution is used to model inter-arrival and service times. Subsequent to a series of experiments on a GI/G/1 queue using discrete-event simulation, results have shown that the lowest mean waiting time and the lowest variance of waiting times can be attained with a combination of positive inter-arrival skewness and negative service skewness. Results also show an interesting effect of the skewness of service times in the probability of no-delay in environments with a higher utilization factor.
ORCID
0000-0003-0117-788X (Marsillac)
Original Publication Citation
Romero-Silva, R., Shaaban, S., Marsillac, E., & Hurtado-Hernandez, M. (2020). Studying the effects of the skewness of inter-arrival and service times on the probability distribution of waiting times. Pesquisa Operacional, 40, 1-29, Article e223190. https://doi.org/10.1590/0101-7438.2020.040.00223190
Repository Citation
Romero-Silva, Rodrigo; Shaaban, Sabry; Marsillac, Erika; and Hurtado-Hernandez, Margarita, "Studying the Effects of the Skewness of Inter-Arrival and Service Times on the Probability Distribution of Waiting Times" (2020). Information Technology & Decision Sciences Faculty Publications. 74.
https://digitalcommons.odu.edu/itds_facpubs/74
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Comments
© 2020 Brazilian Operations Research Society
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