English

Risk-sensitive Semi-Markov Decision Problems with Discounted Cost and General Utilities

Optimization and Control 2021-01-13 v1

Abstract

In this article we consider risk-sensitive control of semi-Markov processes with a discrete state space. We consider general utility functions and discounted cost in the optimization criteria. We consider random finite horizon and infinite horizon problems. Using a state augmentation technique we characterise the value functions and also prescribe optimal controls.

Keywords

Cite

@article{arxiv.2101.04510,
  title  = {Risk-sensitive Semi-Markov Decision Problems with Discounted Cost and General Utilities},
  author = {Arnab Bhabak and Subhamay Saha},
  journal= {arXiv preprint arXiv:2101.04510},
  year   = {2021}
}
R2 v1 2026-06-23T22:04:17.266Z