%0 Conference Proceedings %T Impulse Control of Standard Brownian Motion: Long-Term Average Criterion %+ Humboldt-Universität zu Berlin = Humboldt University of Berlin = Université Humboldt de Berlin (HU Berlin) %+ University of Wisconsin - Milwaukee %A Helmes, Kurt %A Stockbridge, Richard, H. %A Zhu, Chao %< avec comité de lecture %( IFIP Advances in Information and Communication Technology %B 26th Conference on System Modeling and Optimization (CSMO) %C Klagenfurt, Austria %Y Christian Pötzsche %Y Clemens Heuberger %Y Barbara Kaltenbacher %Y Franz Rendl %I Springer Berlin Heidelberg %3 System Modeling and Optimization %V AICT-443 %P 148-157 %8 2013-09-09 %D 2013 %R 10.1007/978-3-662-45504-3_14 %K Impulse control %K Long-term average criterion %K Infinite dimensional linear programming %K Expected occupation and impulse measures %Z Computer Science [cs]Conference papers %X This paper examines the impulse control of a standard Brownian motion under a long-term average criterion. In contrast with the dynamic programming approach, this paper first imbeds the stochastic control problem into an infinite-dimensional linear program over a space of measures and then reduces the problem to a simpler nonlinear optimization that has a familiar interpretation. One is able to easily identify the optimal cost and a family of optimal impulse control policies. %G English %Z TC 7 %2 https://inria.hal.science/hal-01286407/document %2 https://inria.hal.science/hal-01286407/file/978-3-662-45504-3_14_Chapter.pdf %L hal-01286407 %U https://inria.hal.science/hal-01286407 %~ IFIP %~ IFIP-AICT %~ IFIP-TC %~ IFIP-AICT-443 %~ IFIP-TC7