The Value Iteration Algorithm in Risk-Sensitive Average Markov Decision Chains with Finite State Space
Published Online:1 Nov 2003https://doi.org/10.1287/moor.28.4.752.20515
References
- Discrete-time controlled Markov processes with average cost criteria: A survey. SIAM J. Control and Optim. (1993) 31:282–334Crossref, Google Scholar
- Risk sensitive control of finite state Markov chains in discrete time, with applications to portfolio management. Math. Methods Oper. Res. (1999) 50:167–188Crossref, Google Scholar
- Risk sensitive optimal control for Markov decision processes with monotone cost. Mathematics Oper. Res. (2002) 27:192–209Link, Google Scholar
- Value iteration and approximately optimal stationary policies in finite-state average Markov decision chains. Math. Methods Oper. Res. (2002) 56:181–196Crossref, Google Scholar
- Solution to the risk-sensitive average cost optimality equation in a class of Markov decision processes with finite state space. Math. Methods Oper. Res. (2003) 57:253–285Crossref, Google Scholar
- Controlled Markov chains with risk-sensitive criteria: Average cost, optimality equations, and optimal solutions. Math. Methods Oper. Res. (1999) 43:121–139Google Scholar
- , Dror M., L'Ecuyer P., Szydarovszky F. Risk-sensitive optimal control in communicating average Markov decision chains. Modeling Uncertainty: An Examination of Stochastic Theory, Methods, and Applications (2001) (Kluwer Academic Publishers, Boston, MA) 515–553Google Scholar
- Risk-sensitive control of discrete-time Markov processes with infinite horizon. SIAM J. Control Optim. (1999) 38:61–78Crossref, Google Scholar
- Risk sensitive control of Markov processes in countable state space. Systems & Control Lett. (1996) 29:147–155Corrigendum in: Systems & Control Lett. 34 105–106Crossref, Google Scholar
- Adaptive Markov Control Processes (1988) (Springer-Verlag, New York) Google Scholar
- Risk-sensitive Markov decision processes. Managment Sci. (1972) 18:356–369Link, Google Scholar
- , Heyman D. P., Sobel M. J. Markov decision processes. Handbook on Operations Research and Management Science (1990) 2(North Holland, Amsterdam, The Netherlands) 331–434Google Scholar
- Markov Decision Processes: Discrete Stochastic Dynamic Programming (1994) (Wiley, New York) Crossref, Google Scholar
- Iterative solution of the functional equations of undiscounted Markov renewal programming. J. Math. Anal. Appl. (1971) 34:495–501Crossref, Google Scholar
- , Hartley R., Thomas L. C., White D. J. Connectedness conditions for denumerable state Markov decision processes. Recent Advances in Markov Decision Processes (1980) (Academic Press, New York) 181–204Google Scholar

