Title
Stability and Control of Acyclic Stochastic Processing Networks With Shared Resources
Abstract
We consider a general model framework for acyclic stochastic processing networks with shared resources that has many applications in telecommunication, computer, and manufacturing systems. A dynamic control policy that utilizes the maximal matching (for scheduling) and the join-the-shortest-queue (for routing) discipline, is shown to maximize the throughput and stabilize the system in a sense called “uniform mean recurrence time property” under fairly mild stochastic assumptions. Owing to the non-Markovian nature of the states, system stability is established using a perturbed Lyapunov function method.
Year
DOI
Venue
2012
10.1109/TAC.2011.2164012
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Servers,Lyapunov methods,Stability analysis,Throughput,Routing,Stochastic processes,Computational modeling
Lyapunov function,Mathematical optimization,Control theory,Scheduling (computing),Server,Stochastic process,Matching (graph theory),Queueing theory,Throughput,Pattern matching,Mathematics,Distributed computing
Journal
Volume
Issue
ISSN
57
2
0018-9286
Citations 
PageRank 
References 
3
0.41
11
Authors
2
Name
Order
Citations
PageRank
Ying-Chao Hung1387.37
George Michailidis230335.19