A multicriteria competitive Markov decision process

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Date
2021
Authors
Левченко, Іларія
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Abstract
The course work is devoted to A multicriteria competitive Markov decision process; proposed software implementation of their solution. The work consists of an introduction, the main part that consists of six sections, a conclusion, a list of used sources and an appendix. Relevance. The modern-day world makes people face more and more complicated problems which require a solution and the price of mistake for them can be really high. Besides that, nowadays there is so much data that making a decision based on that intuitively and without analysis and math is not an option anymore. The multicriteria Markov decision process is much more similar to reallife than some other common games and decision models – choosing one of the available actions without knowing action chosen by the opponent as well as having vector reward rather than single reward are both much more common in a real application. However, solving such problems as they are is complicated. Therefore in this paper considered algorithm to transform them into linear programming problems, which have more well-known solution algorithms. The object of the study is a multicriteria Markov decision process. The subject of the study is an algorithm for solving the multicriteria competitive β-discounted Markov decision model. Purpose to study multicriteria competitive Markov decision games and algorithm to solve them. Theoretical research methods were used in the study; information from various scientific sources is analyzed, compared and summarized.
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Markov decision processes, multiple noncomparable criteria vector, software implementation, master thesis
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