A new approach to the maximum-flow problem
Journal of the ACM (JACM)
A faster algorithm for finding the minimum cut in a graph
SODA '92 Proceedings of the third annual ACM-SIAM symposium on Discrete algorithms
The precedence-constrained asymmetric traveling salesman polytope
Mathematical Programming: Series A and B
Integer Programming Formulation of Traveling Salesman Problems
Journal of the ACM (JACM)
The Swapping Problem on a Line
SIAM Journal on Computing
A Branch & Cut Algorithm for the Asymmetric Traveling Salesman Problem with Precedence Constraints
Computational Optimization and Applications
A new branch-and-cut algorithm for the capacitated vehicle routing problem
Mathematical Programming: Series A and B
A branch-and-cut algorithm for a traveling salesman problem with pickup and delivery
Discrete Applied Mathematics - The fourth international colloquium on graphs and optimisation (GO-IV)
Heuristics for the mixed swapping problem
Computers and Operations Research
Improvements and extensions to the Miller-Tucker-Zemlin subtour elimination constraints
Operations Research Letters
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In the swapping problem (SP), every vertex of a complete graph may supply and demand an object of a known type. A vehicle of unit capacity starting and ending its tour at an arbitrary vertex is available for carrying objects of given types between vertices. The SP consists of determining a minimum cost route that allows the vehicle to satisfy every supply and demand. This article investigates the preemptive version of the SP in which the objects are allowed to be dropped at temporary locations along the route. The problem is modeled as a mixed integer linear program which is solved by branch-and-cut. Computational results on random geometric instances containing up to 100 vertices and eight object types are reported. © 2011 Wiley Periodicals, Inc. NETWORKS, 2011 © 2012 Wiley Periodicals, Inc.