A numerical solution for the multi-server queue with hyper-exponential service times

J.H.A. de Smit

doi:10.1016/0167-6377(83)90028-7

A numerical solution for the multi-server queue with hyper-exponential service times

J.H.A. de Smit

University of Twente

Research output: Contribution to journal › Article › Academic

29 Citations (Scopus)

216 Downloads (Pure)

Abstract

In this paper we present a numerical method for the queue GI/H2/s, which is based on general results for GI/Hm/s. We give a complete description of the algorithm which yields exact results for the steady distributions of the actual waiting time, the virtual waiting time and the number of customers in the system both at arrival epochs and in continuous time.

Original language	Undefined
Pages (from-to)	217-224
Journal	Operations research letters
Volume	2
Issue number	5
DOIs	https://doi.org/10.1016/0167-6377(83)90028-7
Publication status	Published - 1983

Keywords

virtual waiting time
IR-69193
Queue length
actual waiting time
Multi-server queue
hyper-exponential service times

Access to Document

10.1016/0167-6377(83)90028-7

Smit83numerical

Cite this

@article{edb52dea617a4c4a8200725bbdc993c0,

title = "A numerical solution for the multi-server queue with hyper-exponential service times",

abstract = "In this paper we present a numerical method for the queue GI/H2/s, which is based on general results for GI/Hm/s. We give a complete description of the algorithm which yields exact results for the steady distributions of the actual waiting time, the virtual waiting time and the number of customers in the system both at arrival epochs and in continuous time.",

keywords = "virtual waiting time, IR-69193, Queue length, actual waiting time, Multi-server queue, hyper-exponential service times",

author = "{de Smit}, J.H.A.",

year = "1983",

doi = "10.1016/0167-6377(83)90028-7",

language = "Undefined",

volume = "2",

pages = "217--224",

journal = "Operations research letters",

issn = "0167-6377",

publisher = "Elsevier B.V.",

number = "5",

}

TY - JOUR

T1 - A numerical solution for the multi-server queue with hyper-exponential service times

AU - de Smit, J.H.A.

PY - 1983

Y1 - 1983

N2 - In this paper we present a numerical method for the queue GI/H2/s, which is based on general results for GI/Hm/s. We give a complete description of the algorithm which yields exact results for the steady distributions of the actual waiting time, the virtual waiting time and the number of customers in the system both at arrival epochs and in continuous time.

AB - In this paper we present a numerical method for the queue GI/H2/s, which is based on general results for GI/Hm/s. We give a complete description of the algorithm which yields exact results for the steady distributions of the actual waiting time, the virtual waiting time and the number of customers in the system both at arrival epochs and in continuous time.

KW - virtual waiting time

KW - IR-69193

KW - Queue length

KW - actual waiting time

KW - Multi-server queue

KW - hyper-exponential service times

U2 - 10.1016/0167-6377(83)90028-7

DO - 10.1016/0167-6377(83)90028-7

M3 - Article

SN - 0167-6377

VL - 2

SP - 217

EP - 224

JO - Operations research letters

JF - Operations research letters

IS - 5

ER -