This paper deals with the problem of constructing a Hamiltonian cycle of optimal weight, called TSP. We show that TSP is 2/3-differential approximable and cannot be differential approximable greater than 649/650. Next, we demonstrate that, when dealing with edge-costs 1 and 2, the same algorithm ide
Simple Algorithms for Gilmore–Gomory's Traveling Salesman and Related Problems
✍ Scribed by George L. Vairaktarakis
- Book ID
- 111558497
- Publisher
- Springer US
- Year
- 2003
- Tongue
- English
- Weight
- 225 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1094-6136
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We consider the Capacitated Traveling Salesman Problem with Pickups and Deliveries (CTSPPD). This problem is characterized by a set of n pickup points and a set of n delivery points. A single product is available at the pickup points which must be brought to the delivery points. A vehicle of limited
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