A Fixed Point Approach to Undiscounted Markov Renewal Programs
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Publication:3347663
DOI10.1137/0605052zbMath0558.90099OpenAlexW1972881543MaRDI QIDQ3347663
Awi Federgruen, Paul J. Schweitzer
Publication date: 1984
Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0605052
Brouwer's fixed point theoremexistence of a solutionoptimality equationsMarkov renewal programmingcommunicating systemvalue iteration operator
Related Items (4)
A Brouwer fixed-point mapping approach to communicating Markov decision processes ⋮ A value-iteration scheme for undiscounted multichain Markov renewal programs ⋮ A unified approach to Markov decision problems and performance sensitivity analysis with discounted and average criteria: multichain cases ⋮ On the existence of relative values for undiscounted multichain Markov decision processes
Cites Work
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- Brouwer's fixed point theorem and finite state space Markovian decision theory
- A modified form of the iterative method of dynamic programming
- An optimality principle for Markovian decision processes
- Contraction mappings underlying undiscounted Markov decision problems
- Iterative solution of the functional equations of undiscounted Markov renewal programming
- Denumerable Undiscounted Semi-Markov Decision Processes with Unbounded Rewards
- Invariant Half-Lines of Nonexpansive Piecewise-Linear Transformations
- The Asymptotic Theory of Stochastic Games
- The Functional Equations of Undiscounted Markov Renewal Programming
- On the Convergence of Policy Iteration in Stationary Dynamic Programming
- Optimal decision procedures for finite Markov chains. Part II: Communicating systems
- Optimal decision procedures for finite Markov chains. Part III: General convex systems
- Markov-Renewal Programming. I: Formulation, Finite Return Models
- Discrete Dynamic Programming
- Contraction Mappings in the Theory Underlying Dynamic Programming
- Discrete Dynamic Programming with a Small Interest Rate
- Algorithms for Stochastic Games with Geometrical Interpretation
- Discrete Dynamic Programming with Sensitive Discount Optimality Criteria
- Multichain Markov Renewal Programs
- Markov Renewal Programs with Small Interest Rates
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