The DOI matches its Crossref record; 51 of the 51 references it cites were found in a registry or an index.
Discrete-Time Controlled Markov Processes with Average Cost Criterion: A Survey
Abstract
This work is a survey of the average cost control problem for discrete-time Markov processes. The authors have attempted to put together a comprehensive account of the considerable research on this problem over the past three decades. The exposition ranges from finite to Borel state and action spaces and includes a variety of methodologies to find and characterize optimal policies. The authors have included a brief historical perspective of the research efforts in this area and have compiled a substantial yet not exhaustive bibliography. The authors have also identified several important questions that are still open to investigation.
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Cites
Rockafellar, R. T. (1970) · Princeton University Press eBooks · doi:10.1515/9781400873173 · Cited by 10,801
Doob, J. L., & Doob, J. L. (1953) · CERN Document Server (European Organization for Nuclear Research) · Cited by 9,053
Markov Decision Processes: Discrete Stochastic Dynamic Programming
Puterman, M. L. (1994) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316887 · Cited by 6,024
Adaptive Control Processes: A Guided Tour
Bellman, R. E. (1961) · doi:10.1515/9781400874668 · Cited by 2,802
Probability Measures on Metric Spaces.
Rao, B. L. S. P., & Parthasarathy, K. R. (1968) · Journal of the American Statistical Association · doi:10.2307/2283907 · Cited by 2,424
Shapley, L. S. (1953) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.39.10.1095 · Cited by 2,382
Stochastic optimal control : the discrete time case
Bertsekas, D. P., & Shreve, S. E. (2007) · Cited by 1,654
The Optimal Control of Partially Observable Markov Processes over a Finite Horizon
Smallwood, R. D., & Sondik, E. J. (1973) · Operations Research · doi:10.1287/opre.21.5.1071 · Cited by 1,479
Stochastic Stability and Control
(1967) · Mathematics in Science and Engineering · doi:10.1016/s0076-5392(08)x6039-4 · Cited by 1,452
Dynamic Programming: Deterministic and Stochastic Models
Bertsekas, D. P. (1987) · Medical Entomology and Zoology · Cited by 1,325
Cited by
Modeling Medical Treatment Using Markov Decision Processes
Schaefer, A. J., Bailey, M. D., Shechter, S. M., & Roberts, M. S. (2005) · International Series in Operations Research & Management Science · doi:10.1007/1-4020-8066-2_23 · Cited by 155
Sanders, R. E. (2017) · SSRN Electronic Journal · doi:10.2139/ssrn.2994426 · Cited by 4
Metadata
- Authors
- Arapostathis, A., Borkar, V. S., Fernández-Gaucherand, E., Ghosh, M. K., & Marcus, S. I.
- Venue
- SIAM Journal on Control and Optimization
- Published
- 1993-03
- Volume
- 31
- Issue
- 2
- Pages
- 282-344
- ISSN
- 0363-0129 (ISSN-L)
- 1095-7138
- OpenAlex
- W1967037758
- Cited by
- 592
- References
- 51
- FWCI
- 12.04
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Discrete-Time Controlled Markov Processes with Average Cost Criterion: A Survey. https://app.cochat.ai/papers/10.1137/0331018
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- Arapostathis, A., Borkar, V. S., Fernández-Gaucherand, E., Ghosh, M. K., & Marcus, S. I. (1993). Discrete-Time Controlled Markov Processes with Average Cost Criterion: A Survey. SIAM Journal on Control and Optimization. https://doi.org/10.1137/0331018
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
