𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A polynomial algorithm for a constrained traveling salesman problem

✍ Scribed by J.H. Rubinstein; D.A. Thomas; N.C. Wormald


Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
125 KB
Volume
38
Category
Article
ISSN
0028-3045

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

We give a polynomial‐time algorithm for finding a solution to the Traveling Salesman Problem when the points given are constrained to lie on a fixed set of smooth curves of finite length. Β© 2001 John Wiley & Sons, Inc.


πŸ“œ SIMILAR VOLUMES


A branch-and-cut algorithm for the undir
✍ Gendreau, Michel; Laporte, Gilbert; Semet, FrοΏ½dοΏ½ric πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 120 KB πŸ‘ 2 views

The Selective Traveling Salesman Problem (STSP) is defined on a graph in which profits are associated with vertices and costs are associated with edges. Some vertices are compulsory. The aim is to construct a tour of maximal profit including all compulsory vertices and whose cost does not exceed a p

A branch-and-cut algorithm for the undir
✍ Jean-FranΓ§ois BΓ©rubΓ©; Michel Gendreau; Jean-Yves Potvin πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 130 KB πŸ‘ 1 views

## Abstract Given an undirected graph with edge costs and vertex prizes, the aim of the Prize Collecting Traveling Salesman Problem (PCTSP) is to find a simple cycle minimizing the total edge cost while collecting at least a minimum amount of prizes. In this article, we present a branch‐and‐cut alg