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Stochastic queueing-theory approach to human dynamics

Joris Walraevens (UGent) , Thomas Demoor (UGent) , Tom Maertens (UGent) and Herwig Bruneel (UGent)
(2012) PHYSICAL REVIEW E. 85(2 (1)).
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Abstract
Recently, numerous studies have shown that human dynamics cannot be described accurately by exponential laws. For instance, Barabasi [Nature (London) 435, 207 (2005)] demonstrates that waiting times of tasks to be performed by a human are more suitably modeled by power laws. He presumes that these power laws are caused by a priority selection mechanism among the tasks. Priority models are well-developed in queueing theory (e.g., for telecommunication applications), and this paper demonstrates the (quasi-) immediate applicability of such a stochastic priority model to human dynamics. By calculating generating functions and by studying them in their dominant singularity, we prove that nonexponential tails result naturally. Contrary to popular belief, however, these are not necessarily triggered by the priority selection mechanism.
Keywords
ASYMPTOTICS, PRIORITY, QUEUES

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Citation

Please use this url to cite or link to this publication:

MLA
Walraevens, Joris et al. “Stochastic Queueing-theory Approach to Human Dynamics.” PHYSICAL REVIEW E 85.2 (1) (2012): n. pag. Print.
APA
Walraevens, J., Demoor, T., Maertens, T., & Bruneel, H. (2012). Stochastic queueing-theory approach to human dynamics. PHYSICAL REVIEW E, 85(2 (1)).
Chicago author-date
Walraevens, Joris, Thomas Demoor, Tom Maertens, and Herwig Bruneel. 2012. “Stochastic Queueing-theory Approach to Human Dynamics.” Physical Review E 85 (2 (1)).
Chicago author-date (all authors)
Walraevens, Joris, Thomas Demoor, Tom Maertens, and Herwig Bruneel. 2012. “Stochastic Queueing-theory Approach to Human Dynamics.” Physical Review E 85 (2 (1)).
Vancouver
1.
Walraevens J, Demoor T, Maertens T, Bruneel H. Stochastic queueing-theory approach to human dynamics. PHYSICAL REVIEW E. 2012;85(2 (1)).
IEEE
[1]
J. Walraevens, T. Demoor, T. Maertens, and H. Bruneel, “Stochastic queueing-theory approach to human dynamics,” PHYSICAL REVIEW E, vol. 85, no. 2 (1), 2012.
@article{2069311,
  abstract     = {Recently, numerous studies have shown that human dynamics cannot be described accurately by exponential laws. For instance, Barabasi [Nature (London) 435, 207 (2005)] demonstrates that waiting times of tasks to be performed by a human are more suitably modeled by power laws. He presumes that these power laws are caused by a priority selection mechanism among the tasks. Priority models are well-developed in queueing theory (e.g., for telecommunication applications), and this paper demonstrates the (quasi-) immediate applicability of such a stochastic priority model to human dynamics. By calculating generating functions and by studying them in their dominant singularity, we prove that nonexponential tails result naturally. Contrary to popular belief, however, these are not necessarily triggered by the priority selection mechanism.},
  articleno    = {021139},
  author       = {Walraevens, Joris and Demoor, Thomas and Maertens, Tom and Bruneel, Herwig},
  issn         = {1539-3755},
  journal      = {PHYSICAL REVIEW E},
  keywords     = {ASYMPTOTICS,PRIORITY,QUEUES},
  language     = {eng},
  number       = {2 (1)},
  pages        = {7},
  title        = {Stochastic queueing-theory approach to human dynamics},
  url          = {http://dx.doi.org/10.1103/PhysRevE.85.021139},
  volume       = {85},
  year         = {2012},
}

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