Optimal stationary control of discrete processes and a polynomial time algorithm for stochastic control problem on networks
Author(s) -
Dmitrii Lozovanu,
Stefan Pickl
Publication year - 2010
Publication title -
procedia computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.334
H-Index - 76
ISSN - 1877-0509
DOI - 10.1016/j.procs.2010.04.157
Subject(s) - computer science , discrete time and continuous time , optimal control , set (abstract data type) , class (philosophy) , mathematical optimization , stochastic control , polynomial , time complexity , control (management) , algorithm , mathematics , artificial intelligence , mathematical analysis , statistics , programming language
The stochastic version of classical discrete optimal control problems with a finite set of states and infinite time horizon is studied. An approach for determining the optimal stationary control in discrete processes with deterministic and random states’ transitions of the dynamical system is described. The main problem is formulated on networks and a polynomial time algorithm for its solving is proposed. An application of the proposed algorithm for a class of stochastic decision problems is described
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