Abstract
From the pioneering works of Dantzig, Edmonds and others, polyhedral (i.e. linear programming based) methods have been successfully applied to the resolution of many combinatorial optimization problems. See Jünger, Reinelt & Rinaldi (1995) for an excellent survey on this topic. Roughly speaking, the method consists of trying to formulate the problem as a Linear Program and using the existing powerful methods of Linear Programming to solve it.
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Benavent, E., Corberán, A., Sanchis, J.M. (2000). Linear Programming Based Methods for Solving Arc Routing Problems. In: Dror, M. (eds) Arc Routing. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4495-1_7
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DOI: https://doi.org/10.1007/978-1-4615-4495-1_7
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