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Some Remarks on Risk-Sensitive Optimality Criteria in Markov Decision Processes

In this note we focus attention on discrete-time Markov decision processes with risk-sensitive optimality criteria (i.e. the case when the stream of rewards generated by the Markov processes is evaluated b...

BB - Aplikovaná statistika, operační výzkum

  • 2006
  • D
Result

Generalizing Markov Decision Processes to Imprecise Probabilities.

This paper is a first step towards generalizing the concept of a Markov decision process to imprecise probabilities. A concept of a generalized Markov decision process is defined and motivated. Fi...

BA - Obecná matematika

  • 2002
  • Jx
Result

Second Order Optimality in Markov and Semi-Markov Decision Processes

Semi-Markov decision processes can be considered as an extension of discrete- and continuous-time Markov reward models. Unfortunately, traditional optimality criteria special classes of semi-Markov d...

Statistics and probability

  • 2019
  • D
Result

Necessary and sufficient optimality conditions in multichain semi-Markov decision processes

In this note, we consider semi-Markov decision processes with finite state and general multichain structure. We formulate necessary and sufficient optimality condition for average reward optimality criteria as well as condi...

BB - Aplikovaná statistika, operační výzkum

  • 2006
  • D
Result

Conditional Value-at-Risk for Reachability and Mean Payoff in Markov Decision Processes

We present the conditional value-at-risk (CVaR) in the context of Markov chains and Markov decision processes with reachability and mean-payoff objectives. CVaR quantifies risk by means of the expectation of the wo...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2018
  • D
  • Link
Result

Estimation of Discretized Motion of Pedestrians by the Decision-Making Model

. The underlying Markov decision process is estimated using the finite mixture approximation of a Markov decision process for one clever’ agent. This agent optimises his strategyThe contribution g...

BD - Teorie informace

  • 2016
  • D
  • Link
Result

Risk-Sensitive Optimality Criteria in Markov Decision Processes

The usual optimization criteria for Markov decision processes can be quite unsufficient to fully capture the various aspects of a decision maker. It may be preferable as for the exponential utility of cumulative re...

BB - Aplikovaná statistika, operační výzkum

  • 2007
  • D
Result

Controller Synthesis and Verification for Markov Decision Processes with Qualitative Branching Time Objectives

We show that the controller synthesis and verification problems for Markov decision processes with qualitative PECTL* objectives are 2-EXPTIME complete. More precisely, the algorithms are polynomial in the size of a given <...

IN - Informatika

  • 2008
  • D
Result

AN APPROACH TO CUSTOMER BEHAVIOR MODELING USING MARKOV DECISION PROCESS

This paper presents an application of Markov Decision Process method for modeling of selected marketing processes. Based on available realistic data, MDP model is constructed. Customer behavior is represented by a ...

Statistics and probability

  • 2017
  • D
Result

Average Reward Optimality in Semi-Markov Decision Processes with Costly Interventions

In this note we consider semi-Markov reward decision processes evolving to the standard models we assume that the decision maker can also change the running process for the classical Markov de...

Statistics and probability

  • 2023
  • D
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