DP-solver: automating dynamic programming

Author:

Katai Zoltan1,Elekes Attila2

Affiliation:

1. Sapientia Hungarian University of Transylvania , Department of Mathematics and Informatics Tirgu Mures , Romania

2. Sapientia Hungarian University of Transylvania

Abstract

Abstract Dynamic programming (DP) is a widely used optimization method with several applications in various fields of science. The DP problem solving process can be divided in two phases: mathematical part and programming part. There are a number of researchers for whom the mathematical part is available, but they are not familiar with computer programming. In this paper we present a software tool that automates the programming part of DP and allows users to solve problems based only on their mathematical approach. The application builds up the “d-graph model” of the problem to be solved and applies the “d-variant” of the corresponding single source shortest path algorithm. In addition, we report experimental results regarding the e ciency of the tool relative to the Matlab implementation.

Publisher

Walter de Gruyter GmbH

Reference24 articles.

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2. I. Chadès, G. Chapron, M. J. Cros, F. Garcia, R. Sabbadin, MDPtoolbox: a multi-platform toolbox to solve stochastic dynamic programming problems, Ecography, 37, 9 (2014) 916–920. ⇒36310.1111/ecog.00888

3. D. Ferone, P. Festa, S. Fugaro, T. Pastore, A dynamic programming algorithm for solving the k-color shortest path problem, Optimization Letters, (2020) 1–20. ⇒36210.1007/s11590-020-01659-z

4. M. Holger, DP2PN2Solver: A flexible dynamic programming solver software tool, Control and Cybernetics, 35 (2002) 687–702. ⇒362

5. Z. Kátai, Dynamic programming and d-graphs, Studia Universitatis Babes-Bolyai, Informatic, 51, 2 (2006) 41–52. ⇒363

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