An additive bounding procedure for the asymmetric travelling salesman problem
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Summary
New lower bounds for the asymmetric travelling salesman problem are presented, based on spanning arborescences, in an additive procedure whose theoretical performance is compared with that of the Balas and Christofides procedure (1981).
- Type
- article
- Published
- 1992-01-20
- Cited by
- 100
- References
- 22
- OpenAlex
- https://openalex.org/W2013561074
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:24436758
Keywords
Bounding overwatch, Travelling salesman problem, Mathematics, Simple (philosophy), Combinatorics
References
- AN ADDITIVE APPROACH FOR THE OPTIMAL SOLUTION OF THE PRIZE-COLLECTING TRAVELLING SALESMAN PROBLEM. VEHICLE ROUTING: METHODS AND STUDIES. STUDIES IN MANAGEMENT SCIENCE AND SYSTEMS - VOLUME 16
- An Additive Bounding Procedure for Combinatorial Optimization Problems
- Finding optimum branchings
- A restricted Lagrangean approach to the traveling salesman problem
- The Traveling-Salesman Problem and Minimum Spanning Trees
- A branch and bound algorithm for the multiple depot vehicle scheduling problem
- Algorithms and codes for the assignment problem
- Technical Note - Bounds for the Travelling-Salesman Problem
- On dual solutions of the linear assignment problem
- The k best spanning arborescences of a network
- The traveling-salesman problem and minimum spanning trees: Part II
- Pathology of Traveling-Salesman Subtour-Elimination Algorithms
- New lower bounds for the Symmetric Travelling Salesman Problem
- Packing rooted directed cuts in a weighted directed graph
- A note on finding optimum branchings
- A man-machine approach toward solving the traveling salesman problem
- Depth-First Search and Linear Graph Algorithms
- Some New Branching and Bounding Criteria for the Asymmetric Travelling Salesman Problem
- Combinatorial optimization: networks and matroids
- Erratum: The Traveling Salesman Problem: A Guided Tour of Combinatorial Optimization
Cited by
- Combinatorial optimization of elk habitat effectiveness and timber harvest volume
- Combinatorial Optimization — Eureka, You Shrink!
- The design and implementation of a system for the automatic generation of narrative debriefs for AUV Missions
- Arc Routing Problems, Part II: The Rural Postman Problem
- Modelowanie systemów przewozowych w zastosowaniu do projektowania obsługi transportowej podmiotów gospodarczych
- Résolution de problèmes d'optimisation combinatoire mono et multi-objectifs par énumération ordonnée. (Solving single and multi-objective combinatorial optimization problems by ordered enumeration)
- Um melhor limite inferior para o problema do caixeiro viajante assimétrico baseado no problema da afectação
- Improving the Asymmetric TSP by Considering Graph Structure
- Embedding Relaxations in Global Constraints for Solving TSP and TSPTW
- Wybrane aspekty racjonalizacji systemów przewozowych w łańcuchu dostaw przy ograniczonych zasobach
- Optimization-Oriented Global Constraints
- Operations research techniques in constraint programming
- Polyhedral results and exact algorithms for the asymmetric travelling salesman problem with replenishment arcs
- The traveling salesman problem: An overview of exact and approximate algorithms
- A lift-and-project cutting plane algorithm for mixed 0–1 programs
- An exact algorithm for the capacitated shortest spanning arborescence
- Cluster based branching for the asymmetric traveling salesman problem
- Models, relaxations and exact approaches for the capacitated vehicle routing problem
- Exact Solution of Large Asymmetric Traveling Salesman Problems
- A heuristic algorithm for the asymmetric capacitated vehicle routing problem
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