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A two-class queueing model with class clustering and global FCFS service discipline

Willem Mélange (UGent) , Herwig Bruneel (UGent) , Bart Steyaert (UGent) and Joris Walraevens (UGent)
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Abstract
This paper considers a continuous-time queueing model with two types (classes) of customers each having their own dedicated server with exponential service times. The system adopts a "global FCFS" service discipline, i.e., all arriving customers are accommodated in one single FCFS queue, regardless of their types. "Class clustering" ,i.e., customers of any given type may (or may not) have a tendency to "arrive back-to-back", is a concept that we believe is often neglected in literature, but as it is clear that customers of different types hinder each other more as they tend to arrive in the system more clustered according to class in our system, the major aim of this paper is to estimate the impact of the degree of class clustering in our system. The motivation of our work are systems where this kind of blocking is encountered, such as input-queueing network switches or road splits.
Keywords
continuous time, class clustering, global FCFS, dedicated, Queueing

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Chicago
Mélange, Willem, Herwig Bruneel, Bart Steyaert, and Joris Walraevens. 2011. “A Two-class Queueing Model with Class Clustering and Global FCFS Service Discipline.” In Stochastic Modelling and Simulation, International Conference, Abstracts, 38–38. Chennai, India: Allied Publishers.
APA
Mélange, W., Bruneel, H., Steyaert, B., & Walraevens, J. (2011). A two-class queueing model with class clustering and global FCFS service discipline. Stochastic Modelling and Simulation, International conference, Abstracts (pp. 38–38). Presented at the 2011 International conference on Stochastic Modelling and Simulation (ICSMS 2011), Chennai, India: Allied Publishers.
Vancouver
1.
Mélange W, Bruneel H, Steyaert B, Walraevens J. A two-class queueing model with class clustering and global FCFS service discipline. Stochastic Modelling and Simulation, International conference, Abstracts. Chennai, India: Allied Publishers; 2011. p. 38–38.
MLA
Mélange, Willem, Herwig Bruneel, Bart Steyaert, et al. “A Two-class Queueing Model with Class Clustering and Global FCFS Service Discipline.” Stochastic Modelling and Simulation, International Conference, Abstracts. Chennai, India: Allied Publishers, 2011. 38–38. Print.
@inproceedings{2001380,
  abstract     = {This paper considers a continuous-time queueing model with two types (classes) of customers each having their own dedicated server with exponential service times. The system adopts a {\textacutedbl}global FCFS{\textacutedbl} service discipline, i.e., all arriving customers are accommodated in one single FCFS queue, regardless of their types. {\textacutedbl}Class clustering{\textacutedbl} ,i.e., customers of any given type may (or may not) have a tendency to {\textacutedbl}arrive back-to-back{\textacutedbl}, is a concept that we believe is often neglected in literature, but as it is clear that customers of different types hinder each other more as they tend to arrive in the system more clustered according to class in our system, the major aim of this paper is to estimate the impact of the degree of class clustering in our system. The motivation of our work are systems where this kind of blocking is encountered, such as input-queueing network switches or road splits.},
  author       = {M{\'e}lange, Willem and Bruneel, Herwig and Steyaert, Bart and Walraevens, Joris},
  booktitle    = {Stochastic Modelling and Simulation, International conference, Abstracts},
  isbn         = {9788184247435},
  keyword      = {continuous time,class clustering,global FCFS,dedicated,Queueing},
  language     = {eng},
  location     = {Chennai, India},
  pages        = {38--38},
  publisher    = {Allied Publishers},
  title        = {A two-class queueing model with class clustering and global FCFS service discipline},
  year         = {2011},
}