Abstract
Finding an optimal coalition structure is a hard problem. In order to simplify this process, it is possible to explore some characteristics of the agents organization. In this paper we propose an algorithm that deals with a particular family of games in characteristic function, but is able to search in a much smaller space by considering organizational issues such as constraints in the number of participants. We apply this approach to the domain of smart grids, in which the aim is to form coalitions of electric vehicles in order to increase their reliability when supplying energy to the grid.
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Notes
- 1.
We remark that the CSG class defined here is general, and it is not restricted to the smart grid problem.
- 2.
As in previous algorithms, we also assume that \(v(K) \ge 0\) for any \(K\) (or at least those CSs visited by the algorithm), which is not a restrictive assumption given that the CFG can be normalized.
- 3.
This comes from the fact that, for \(j \ge \alpha \) coalitions of size \(j\) have value zero and hence (\(i \times v(K_j)\)) has value zero as well. Thus it makes no sense to compute \(i\)’s for \(j \ge \alpha \).
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This research was partially supported by CNPq.
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Bazzan, A.L.C., de O. Ramos, G. (2015). Forming Coalitions of Electric Vehicles in Constrained Scenarios. In: Bajo, J., et al. Highlights of Practical Applications of Agents, Multi-Agent Systems, and Sustainability - The PAAMS Collection. PAAMS 2015. Communications in Computer and Information Science, vol 524. Springer, Cham. https://doi.org/10.1007/978-3-319-19033-4_20
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