Gradient refinement methods for optimal impulse control problems

2011 ◽  
Vol 72 (10) ◽  
pp. 2188-2195 ◽  
Author(s):  
E. V. Goncharova ◽  
M. V. Staritsyn
2017 ◽  
Vol 49 (1) ◽  
pp. 238-257 ◽  
Author(s):  
Sören Christensen ◽  
Paavo Salminen

Abstract We consider a class of impulse control problems for general underlying strong Markov processes on the real line, which allows for an explicit solution. The optimal impulse times are shown to be of a threshold type and the optimal threshold is characterised as a solution of a (typically nonlinear) equation. The main ingredient we use is a representation result for excessive functions in terms of expected suprema.


Author(s):  
Michael Vaughn ◽  
Christopher Salas-Wright ◽  
Sandra Naeger ◽  
Jin Huang ◽  
Alex Piquero

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