Queueing models with service speed adaptations at arrival instants of an external observer

Autor: Núñez-Queija, Rudesindo, Prabhu, Balakrishna, Resing, Jacques
Přispěvatelé: Stochastic Operations Research, Korteweg-de Vries Institute for Mathematics, University of Amsterdam [Amsterdam] (UvA), Équipe Services et Architectures pour Réseaux Avancés (LAAS-SARA), Laboratoire d'analyse et d'architecture des systèmes (LAAS), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université de Toulouse (UT)-Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT), Department of Mathematics and Computer Science [Eindhoven], Eindhoven University of Technology [Eindhoven] (TU/e)
Rok vydání: 2022
Předmět:
Zdroj: Queueing Systems, 100(3-4), 233-235. Springer
Queueing Systems
Queueing Systems, 2022, 100 (3-4), pp.233-235. ⟨10.1007/s11134-022-09790-7⟩
ISSN: 1572-9443
0257-0130
DOI: 10.1007/s11134-022-09790-7
Popis: International audience; Motivated by dynamic speed scaling, which enables a balance between performance and energy consumption, we got interested in queues in which the server can work at different service speeds and in which the speed of the server can only be changed at arrival instants of an external observer. In the past several works dealt with models in which these type of service speed adaptations occurred. Bekker, Boxma and Resing (2008) studied an M/M/1 queue with a two-stage service rule. Whenever the amount of work in the system is below a threshold the server wants to work at low service speed, otherwise the server wants to work at high service speed. However, speed adaptations can only occur at Poisson instants.The amount of work in the system could either be measured by the number of customers or by the total workload in the system.Later on, the work was extended to the $M/G/1$ workload process, and to Levy processes in Bekker, Boxma and Resing (2009).Here we look at the model in which the server can not only work at two different service speeds but at infinitely many server speeds. When there are $j$ customers in the system, the server wants to work at speed $j$.
Databáze: OpenAIRE
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