Skip to main content
Journal cover image

The impacts of customers delay-risk sensitivities on a queue with balking

Publication ,  Journal Article
Guo, P; Zipkin, P
Published in: Probability in the Engineering and Informational Sciences
January 1, 2009

Congestion and its uncertainty are big factors affecting customers decision to join a queue or balk. In a queueing system, congestion itself is resulted from the aggregate joining behavior of other customers. Therefore, the property of the whole group of arriving customers affects the equilibrium behavior of the queue. In this paper, we assume each individual customer has a utility function which includes a basic cost function, common to all customers, and a customer-specific weight measuring sensitivity to delay. We investigate the impacts on the average customer utility and the throughput of the queueing system of different cost functions and weight distributions. Specifically, we compare systems where these parameters are related by various stochastic orders, under different information scenarios. We also explore the relationship between customer characteristics and the value of information. © 2009 Cambridge University Press.

Duke Scholars

Published In

Probability in the Engineering and Informational Sciences

DOI

EISSN

1469-8951

ISSN

0269-9648

Publication Date

January 1, 2009

Volume

23

Issue

3

Start / End Page

409 / 432

Related Subject Headings

  • Statistics & Probability
  • 09 Engineering
  • 01 Mathematical Sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Guo, P., & Zipkin, P. (2009). The impacts of customers delay-risk sensitivities on a queue with balking. Probability in the Engineering and Informational Sciences, 23(3), 409–432. https://doi.org/10.1017/S0269964809000254
Guo, P., and P. Zipkin. “The impacts of customers delay-risk sensitivities on a queue with balking.” Probability in the Engineering and Informational Sciences 23, no. 3 (January 1, 2009): 409–32. https://doi.org/10.1017/S0269964809000254.
Guo P, Zipkin P. The impacts of customers delay-risk sensitivities on a queue with balking. Probability in the Engineering and Informational Sciences. 2009 Jan 1;23(3):409–32.
Guo, P., and P. Zipkin. “The impacts of customers delay-risk sensitivities on a queue with balking.” Probability in the Engineering and Informational Sciences, vol. 23, no. 3, Jan. 2009, pp. 409–32. Scopus, doi:10.1017/S0269964809000254.
Guo P, Zipkin P. The impacts of customers delay-risk sensitivities on a queue with balking. Probability in the Engineering and Informational Sciences. 2009 Jan 1;23(3):409–432.
Journal cover image

Published In

Probability in the Engineering and Informational Sciences

DOI

EISSN

1469-8951

ISSN

0269-9648

Publication Date

January 1, 2009

Volume

23

Issue

3

Start / End Page

409 / 432

Related Subject Headings

  • Statistics & Probability
  • 09 Engineering
  • 01 Mathematical Sciences