We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Queueing models with service speed adaptations at arrival instants of an external observer.
- Authors
Núñez-Queija, Rudesindo; Prabhu, Balakrishna; Resing, Jacques
- Abstract
Problem statement For arbitrary HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi> </mi><mo>=</mo><mi> </mi><mo stretchy="false">/</mo><mi> </mi></mrow></math> ht , the system will be stable. Let HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msub><mi>p</mi><mi>j</mi></msub><mrow><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></math> ht be the stationary conditional probability of having HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi></math> ht customers in the system when the service rate is HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>j</mi><mi> </mi></mrow></math> ht and let HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msub><mi>f</mi><mi>j</mi></msub><mrow><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo></mrow></mrow></math> ht be the generating function of this stationary conditional distribution. Model description Consider a single-server queue to which arrivals occur according to a Poisson process of rate HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mi> </mi></math> ht .
- Subjects
QUEUING theory; SPEED; POISSON processes; LEVY processes; STATIONARY processes; MARGINAL distributions
- Publication
Queueing Systems, 2022, Vol 100, Issue 3/4, p233
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-022-09790-7