The estimation of costs allocated to each customer when serving them in a collaborative logistic operation is a complex problem whose solution is computationally very expensive. In this work the case of central horizontal collaboration for vehicle routing problems with time windows and a central...

The objective of this work was to analyze the cost allocation of improvements in river basins among the water users. It was used, as example, the Paraíba do Sul river basin, located in the states of Minas Gerais, São Paulo and Rio de Janeiro, and, as criteria of allocation of costs, they were...

The weighted value was introduced by Shapley in 1953 as an asymmetric version of his value. Since then several approximations have been proposed including one by Shapley in 1981 specifically addressed to cost allocation, a context in which weights appear naturally. It was at the occasion of a...

The weighted value was introduced by Shapley in 1953 as an asymmetric version of his value. Since then several axiomatizations have been proposed including one by Shapley in 1981 specifically addressed to cost allocation, a context in which weights appear naturally. It was at the occasion of a...

The weighted value was introduced by Shapley in 1953 as an asymmetric version of his value. Since then several axiomatizations have been proposed including one by Shapley in 1981 specifically addressed to cost allocation, a context in which weights appear naturally. It was at the occasion of a...

Lloyd Shapley is considered one of the pioneers of game theory. His most prominent contributions are the inception and study of value theory and core theory. These two theories are the key to solving problems involving the allocation of goods or payoffs achievable through cooperation....