Solving a Truck Dispatching Scheduling Problem Using Branch-and-Cut

dc.contributor.authorBixby, Robert E.en_US
dc.contributor.authorLee, Eva K.en_US
dc.date.accessioned2018-06-18T17:41:11Zen_US
dc.date.available2018-06-18T17:41:11Zen_US
dc.date.issued1993-09en_US
dc.date.noteSeptember 1993en_US
dc.description.abstractA branch-and-cut IP solver is developed for a class of structured 0/1 integer programs arising from a truck dispatching scheduling problem. This problem involves a special class of knapsack equality constraints. Families of facets for the polytopes associated with individual knapsack constraints are identified, and in some cases, a complete characterization of a polytope is obtained. In addition, a notion of "conflict graph" is utilized to obtain an approximating node-packing polytope for the convex hull of all 0/1 solutions. The branch-and-cut solver generates cuts based on both the knapsack equality constraints and the approximating node-packing polytope, and incorporates these cuts into a tree-search algorithm that uses problem reformulation and linear programming-based heuristics at each node in the search tree to assist in the solution process. Numerical experiments are performed on large-scale real instances supplied by Texaco Trading &Transportation, Inc. The optimal schedules correspond to cost savings for the company and greater job satisfaction for drivers due to more balanced work schedules and income distribution.en_US
dc.format.extent32 ppen_US
dc.identifier.citationBixby, Robert E. and Lee, Eva K.. "Solving a Truck Dispatching Scheduling Problem Using Branch-and-Cut." (1993) <a href="https://hdl.handle.net/1911/101808">https://hdl.handle.net/1911/101808</a>.en_US
dc.identifier.digitalTR93-37en_US
dc.identifier.urihttps://hdl.handle.net/1911/101808en_US
dc.language.isoengen_US
dc.titleSolving a Truck Dispatching Scheduling Problem Using Branch-and-Cuten_US
dc.typeTechnical reporten_US
dc.type.dcmiTexten_US
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