```
Dufour, F., E-mail: dufour@math.u-bordeaux1.fr, and Prieto-Rumeau, T., E-mail: tprieto@ccia.uned.es.
```*Conditions for the Solvability of the Linear Programming Formulation for Constrained Discounted Markov Decision Processes*. United States: N. p., 2016.
Web. doi:10.1007/S00245-015-9307-3.

```
Dufour, F., E-mail: dufour@math.u-bordeaux1.fr, & Prieto-Rumeau, T., E-mail: tprieto@ccia.uned.es.
```*Conditions for the Solvability of the Linear Programming Formulation for Constrained Discounted Markov Decision Processes*. United States. doi:10.1007/S00245-015-9307-3.

```
Dufour, F., E-mail: dufour@math.u-bordeaux1.fr, and Prieto-Rumeau, T., E-mail: tprieto@ccia.uned.es. 2016.
"Conditions for the Solvability of the Linear Programming Formulation for Constrained Discounted Markov Decision Processes". United States.
doi:10.1007/S00245-015-9307-3.
```

```
@article{osti_22617268,
```

title = {Conditions for the Solvability of the Linear Programming Formulation for Constrained Discounted Markov Decision Processes},

author = {Dufour, F., E-mail: dufour@math.u-bordeaux1.fr and Prieto-Rumeau, T., E-mail: tprieto@ccia.uned.es},

abstractNote = {We consider a discrete-time constrained discounted Markov decision process (MDP) with Borel state and action spaces, compact action sets, and lower semi-continuous cost functions. We introduce a set of hypotheses related to a positive weight function which allow us to consider cost functions that might not be bounded below by a constant, and which imply the solvability of the linear programming formulation of the constrained MDP. In particular, we establish the existence of a constrained optimal stationary policy. Our results are illustrated with an application to a fishery management problem.},

doi = {10.1007/S00245-015-9307-3},

journal = {Applied Mathematics and Optimization},

number = 1,

volume = 74,

place = {United States},

year = 2016,

month = 8

}