Mixed Integer Linear Programming For Exact Finite-Horizon Planning In Decentralized Pomdps - Inria - Institut national de recherche en sciences et technologies du numérique
Communication Dans Un Congrès Année : 2007

Mixed Integer Linear Programming For Exact Finite-Horizon Planning In Decentralized Pomdps

Raghav Aras
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Alain Dutech

Résumé

We consider the problem of finding an n-agent joint-policy for the optimal finite-horizon control of a decentralized Pomdp (Dec-Pomdp). This is a problem of very high complexity (NEXP-hard in n >= 2). In this paper, we propose a new mathematical programming approach for the problem. Our approach is based on two ideas: First, we represent each agent's policy in the sequence-form and not in the tree-form, thereby obtaining a very compact representation of the set of joint-policies. Second, using this compact representation, we solve this problem as an instance of combinatorial optimization for which we formulate a mixed integer linear program (MILP). The optimal solution of the MILP directly yields an optimal joint-policy for the Dec-Pomdp. Computational experience shows that formulating and solving the MILP requires significantly less time to solve benchmark Dec-Pomdp problems than existing algorithms. For example, the multi-agent tiger problem for horizon 4 is solved in 72 secs with the MILP whereas existing algorithms require several hours to solve it.
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Dates et versions

inria-00163372 , version 1 (17-07-2007)

Identifiants

  • HAL Id : inria-00163372 , version 1
  • ARXIV : 0707.2506

Citer

Raghav Aras, Alain Dutech, François Charpillet. Mixed Integer Linear Programming For Exact Finite-Horizon Planning In Decentralized Pomdps. The International Conference on Automated Planning and Scheduling - ICAPS 2007, Sep 2008, Providence / Rhode Island, United States. pp.18-25. ⟨inria-00163372⟩
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