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ABSTRACT The Minimum Path Cover (MPC) problem consists of finding a minimum‐cardinality set of node‐disjoint paths that cover all nodes in a given graph. We explore a variant of the MPC problem on directed acyclic graphs (DAGs) where, given a subset of arcs, each path within the MPC should contain at least one arc from this subset.
Nour ElHouda Tellache, Roberto Baldacci
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A multi-objective multi-period mathematical programming model for integrated project portfolio optimization and contractor selection. [PDF]
Zahedirad M+3 more
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A primal (all-integer) integer programming algorithm
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New heuristics for phylogeny estimation under the balanced minimum evolution criterion. [PDF]
Catanzaro D, Dehaybe H, Pesenti R.
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An optimization protocol for MRI examination resource allocation based on demand forecasting and linear programming. [PDF]
Zhou Z, Zhou H, Qiao Y, Gao Z, Yang Y.
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Presolve Reductions in Mixed Integer Programming
INFORMS journal on computing, 2020Mixed integer programming has become a very powerful tool for modeling and solving real-world planning and scheduling problems, with the breadth of applications appearing to be almost unlimited. A critical component in the solution of these mixed integer
Tobias Achterberg+4 more
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Mathematical programming, 2020
We study multistage distributionally robust mixed-integer programs under endogenous uncertainty, where the probability distribution of stage-wise uncertainty depends on the decisions made in previous stages.
Xian Yu, Siqian Shen
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We study multistage distributionally robust mixed-integer programs under endogenous uncertainty, where the probability distribution of stage-wise uncertainty depends on the decisions made in previous stages.
Xian Yu, Siqian Shen
semanticscholar +1 more source
Integer Programming and Pricing [PDF]
In this article Gomory's method of solution of integer linear programming problems is described briefly (with an example of the method of solution). The bulk of the paper is devoted to a discussion of the dual prices and their relationship to the marginal yields of scarce indivisible resources and their efficient allocation.
William J. Baumol, Ralph E. Gomory
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