Note on the convexity of the stationary waiting time as a function of the density

Arie Hordijk; Dinard Van Der Laan

doi:10.1017/S0269964803174050

Note on the convexity of the stationary waiting time as a function of the density

Arie Hordijk^*, Dinard Van Der Laan

^*Corresponding author for this work

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

It is proved that the total average waiting time is a convex function of the routing densities for regular routing to parallel queues.

Original language	English
Pages (from-to)	503-508
Number of pages	6
Journal	Probability in the Engineering and Informational Sciences
Volume	17
Issue number	4
DOIs	https://doi.org/10.1017/S0269964803174050
Publication status	Published - 1 Dec 2003

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1017/S0269964803174050

Persistent URL (handle)

Copy link address

Cite this

@article{cea44e6a45124c10969dc194f2ae0fc8,

title = "Note on the convexity of the stationary waiting time as a function of the density",

abstract = "It is proved that the total average waiting time is a convex function of the routing densities for regular routing to parallel queues.",

author = "Arie Hordijk and {Van Der Laan}, Dinard",

year = "2003",

month = dec,

day = "1",

doi = "10.1017/S0269964803174050",

language = "English",

volume = "17",

pages = "503--508",

journal = "Probability in the Engineering and Informational Sciences",

issn = "0269-9648",

publisher = "Cambridge University Press",

number = "4",

}

TY - JOUR

T1 - Note on the convexity of the stationary waiting time as a function of the density

AU - Hordijk, Arie

AU - Van Der Laan, Dinard

PY - 2003/12/1

Y1 - 2003/12/1

N2 - It is proved that the total average waiting time is a convex function of the routing densities for regular routing to parallel queues.

AB - It is proved that the total average waiting time is a convex function of the routing densities for regular routing to parallel queues.

UR - http://www.scopus.com/inward/record.url?scp=1642560688&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1642560688&partnerID=8YFLogxK

U2 - 10.1017/S0269964803174050

DO - 10.1017/S0269964803174050

M3 - Article

AN - SCOPUS:1642560688

SN - 0269-9648

VL - 17

SP - 503

EP - 508

JO - Probability in the Engineering and Informational Sciences

JF - Probability in the Engineering and Informational Sciences

IS - 4

ER -

Note on the convexity of the stationary waiting time as a function of the density

Abstract

UN SDGs

Access to Document

Persistent URL (handle)

Other files and links

Fingerprint

Cite this