NDLI: Control of Admission and Routing in Loss Networks: Hybrid Dynamic Programming Equations

Content Provider	IEEE Xplore Digital Library
Author	Zhongjing Ma Caines, P.E. Malhame, R.P.
Copyright Year	1963
Abstract	Call admission and routing control decisions in stochastic loss (circuit-switched) networks with semi Markovian, multi-class, call arrival and general connection time processes are formulated as optimal stochastic control problems. The resulting so-called Hybrid Dynamic Programming equation systems take the form of vectors of partial differential equations with each component associated to a distinct distribution of routed calls over the network (i.e. distinct occupation states). This framework reduces to that of a Markov Decision Process when the traffic is Poisson and the associated computational limitations are approximately those of linear programs. Examples are provided of (i) network state space constructions and controlled state transition processes, (ii) a new closed form solution for a simple network, and (iii) the analysis and illustrative numerical results for a three link network.
Sponsorship	IEEE Control Systems Society
Starting Page	350
Ending Page	366
Page Count	17
File Size	806601
File Format	PDF
ISSN	00189286
Volume Number	55
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-02-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Routing Dynamic programming Optimal control Stochastic processes Partial differential equations Circuits Differential equations Poisson equations Vectors Communication system traffic control loss networks Call admission and routing control hybrid dynamic programming (HDP) equations
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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