Facets of the three-index assignment polytope
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Publication:2276881
DOI10.1016/0166-218X(89)90014-0zbMath0723.90065OpenAlexW1979743058MaRDI QIDQ2276881
Egon Balas, Matthew J. Saltzman
Publication date: 1989
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0166-218x(89)90014-0
intersection graphcliquesNP-completelinear programming relaxation3-dimensional matchingfacial structure3-index assignment
Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Combinatorial optimization (90C27) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Discrete location and assignment (90B80)
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Cites Work
- Traffic assignment in communication satellites
- Complexity of a 3-dimensional assignment problem
- Facets of the three-index assignment polytope
- Edmonds polytopes and a hierarchy of combinatorial problems
- New Methods in Mathematical Programming—The Solid Transportation Problem
- Solving Large-Scale Symmetric Travelling Salesman Problems to Optimality
- A restricted Lagrangean approach to the traveling salesman problem
- An Algorithm for Solving 3-Dimensional Assignment Problems with Application to Scheduling a Teaching Practice
- Some facets of the simple plant location polytope
- Set Partitioning: A survey
- On the facial structure of set packing polyhedra
- Letter to the Editor—The Multidimensional Assignment Problem
- The Multi-Index Problem
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