TY - JOUR

T1 - The difference of mean waiting times between two classes of customers in a single-server FIFO queue

T2 - An experimental study

AU - Romero-Silva, Rodrigo

AU - Hurtado, Margarita

PY - 2017/1/1

Y1 - 2017/1/1

N2 - Previous 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.

AB - Previous 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.

KW - design of experiments

KW - discrete event simulation

KW - GI/G/1

KW - multi-class queue

KW - queueing theory

UR - http://www.scopus.com/inward/record.url?scp=85018307548&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85018307548&partnerID=8YFLogxK

U2 - 10.1080/23311916.2017.1321082

DO - 10.1080/23311916.2017.1321082

M3 - Article

AN - SCOPUS:85018307548

VL - 4

JO - Cogent Engineering

JF - Cogent Engineering

SN - 2331-1916

IS - 1

M1 - 1321082

ER -