Probabilistic Preference Planning Problem for Markov Decision Processes
| Autor: | Lijun Zhang, Zhikun She, Ernst Moritz Hahn, Meilun Li, Andrea Turrini |
|---|---|
| Přispěvatelé: | Formal Methods and Tools, Digital Society Institute |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Model checking
Mathematical optimization Computer science Probabilistic logic 22/2 OA procedure Markov process Quadratic programming Task (project management) Markov decision processes symbols.namesake Planning Preferences Scalability Task analysis symbols Markov decision process Software Multi-objective model checking |
| Zdroj: | IEEE transactions on software engineering, 48(5), 1545-1559. IEEE |
| ISSN: | 0098-5589 |
| DOI: | 10.1109/tse.2020.3024215 |
| Popis: | The classical planning problem aims to find a sequence of permitted actions leading a system to a designed state, i.e., to achieve the system's task. However, in many realistic cases we also have requirements on how to complete the task, indicating that some behaviors and situations are more preferred than others. In this paper, we present the probabilistic preference-based planning problem (P4) for Markov decision processes, where the preferences are defined based on an enriched probabilistic LTL-style logic. We first recall Solver P4 Solver, an SMT-based planner computing the preferred plan by reducing the problem to a quadratic programming one previously developed to solve P4. To improve computational efficiency and scalability, we then introduce a new encoding of the probabilistic preference-based planning problem as a multi-objective model checking one, and propose the corresponding planner SolverMOP4 Solver MO. We illustrate the efficacy of both planners on some selected case studies to show that the model checking-based algorithm is considerably more efficient than the quadratic-programming-based one. |
| Databáze: | OpenAIRE |
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