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Formulations and valid inequalities for the heterogeneous vehicle routing problem. (English) Zbl 1134.90527
Summary: We consider the vehicle routing problem where one can choose among vehicles with different costs and capacities to serve the trips. We develop six different formulations: the first four based on Miller-Tucker-Zemlin constraints and the last two based on flows. We compare the linear programming bounds of these formulations. We derive valid inequalities and lift some of the constraints to improve the lower bounds. We generalize and strengthen subtour elimination and generalized large multistar inequalities.

90C35 Programming involving graphs or networks
90B10 Deterministic network models in operations research
90B06 Transportation, logistics and supply chain management
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