Integer programming formulations for the elementary shortest path problem
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Publication:322844
DOI10.1016/j.ejor.2016.01.003zbMath1346.90793OpenAlexW2233296499MaRDI QIDQ322844
Publication date: 7 October 2016
Published in: European Journal of Operational Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejor.2016.01.003
integer programmingbranch-and-cutextended formulationselementary shortest pathsubtour elimination constraints
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Uses Software
Cites Work
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- Enhanced compact models for the connected subgraph problem and for the shortest path problem in digraphs with negative cycles
- The orienteering problem: a survey
- On approximating the longest path in a graph
- Projection, lifting and extended formulation integer and combinatorial optimization
- An analytical comparison of different formulations of the travelling salesman problem
- A branch-and-cut algorithm for the capacitated profitable tour problem
- A note on the separation of subtour elimination constraints in elementary shortest path problems
- Solving elementary shortest-path problems as mixed-integer programs
- Symmetry helps: bounded bi-directional dynamic programming for the elementary shortest path problem with resource constraints
- Accelerated label setting algorithms for the elementary resource constrained shortest path problem
- A strong flow-based formulation for the shortest path problem in digraphs with negative cycles
- Maximum Throughput Network Routing Subject to Fair Flow Allocation
- A Hierarchy of Relaxations between the Continuous and Convex Hull Representations for Zero-One Programming Problems
- Integer Programming Formulation of Traveling Salesman Problems
- A New Formulation for the Travelling Salesman Problem
- Subset-Row Inequalities Applied to the Vehicle-Routing Problem with Time Windows
- A new approach to the maximum-flow problem
- An algorithm for the resource constrained shortest path problem
- The prize collecting traveling salesman problem
- Solving the Orienteering Problem through Branch-and-Cut
- An exact algorithm for the elementary shortest path problem with resource constraints: Application to some vehicle routing problems
- Solution of a Large-Scale Traveling-Salesman Problem
- Finding Paths and Cycles of Superpolylogarithmic Length
- Automata, Languages and Programming
- Shortest Path Problems with Resource Constraints
- Depth-First Search and Linear Graph Algorithms
- A branch and cut approach to the cardinality constrained circuit problem.
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