Finite approximation for finite-horizon continuous-time Markov decision processes
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DOI: 10.1007/s10288-016-0321-3
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- Pliska, Stanley R., 1975. "Controlled jump processes," Stochastic Processes and their Applications, Elsevier, vol. 3(3), pages 259-282, July.
- van Dijk, Nico M., 1988. "On the finite horizon Bellman equation for controlled Markov jump models with unbounded characteristics: existence and approximation," Stochastic Processes and their Applications, Elsevier, vol. 28(1), pages 141-157, April.
- Guo, Xianping & Zhang, Wenzhao, 2014. "Convergence of controlled models and finite-state approximation for discounted continuous-time Markov decision processes with constraints," European Journal of Operational Research, Elsevier, vol. 238(2), pages 486-496.
- V. Rykov & M. Yu. Kitaev, 1995. "Controlled queueing systems," International Journal of Stochastic Analysis, Hindawi, vol. 8, pages 1-3, January.
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Keywords
Continuous-time Markov decision processes; Finite-horizon expected total cost criterion; Unbounded transition rates; Finite approximation;All these keywords.
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