Stability of switched server systems with constraints on service-time and capacity of buffers
type: Item
instance of: scholarly article
title: Stability of switched server systems with constraints on service-time and capacity of buffers
zbMATH Open document ID: 1394.34111
DOI: 10.1155/2015/347931
author: Li Wang
author: Zhonghe He
author: Chi Zhang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The execution of emptying policy ensures the convergence of any solution to the system to a unique periodic orbit, which does not impose constraints on service-time and capacity of buffers. Motivated by these problems, in this paper, the service-time-limited policy is first proposed based on the information resulted from the periodic orbit under emptying policy, which imposes lower and upper bounds on emptying time for the queue in each buffer, by introducing lower-limit and upper-limit service-time factors. Furthermore, the execution of service-time-limited policy in the case of finite buffer capacity is considered. Moreover, the notion of feasibility of states under service-time-limited policy is introduced and then the checking condition for feasibility of states is given; that is, the solution does not exceed the buffer capacity within the first cycle of the server. At last, a sufficient condition for determining upper-limit service-time factors ensuring that the given state is feasible is given.
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34A38
zbMATH DE Number: 6926105
Wikidata QID: Q59118091
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/347931
OpenAlex ID: W2155808490
cites work: Qualitative theory of hybrid dynamical systems.
cites work: Stability analysis and controller synthesis for hybrid dynamical systems
cites work: Stable, distributed, real-time scheduling of flexible manufacturing/assembly/diassembly systems
cites work: DELAYS AT SIGNALIZED INTERSECTIONS WITH EXHAUSTIVE TRAFFIC CONTROL
cites work: Cyclic linear differential automata: A simple class of hybrid dynamical systems
cites work: Switched and impulsive systems. Analysis, design and applications.
cites work: Designs of optimal switching feedback decentralized control policies for fluid queueing networks
cites work: Consensus and Cooperation in Networked Multi-Agent Systems
description: scientific article; zbMATH DE number 6926105