In approximation algorithm design, light spanners has applications in graph-metric problems such as metric TSP (the traveling salesman problem) [8] and others [3]. We have developed an efficient algorithm in [9] for light spanners in bounded pathwidth graphs, based on an intermediate data structure called monotone tree. In this paper, we extended the results to include bounded catwidth graphs.

Pedigree polytopes are extensions of the classical Symmetric Traveling Salesman Problem polytopes whose graphs (1-skeletons) contain the TSP polytope graphs as spanning subgraphs. While deciding adjacency of vertices in TSP polytopes is coNP-complete, Arthanari has given a combinatorial (polynomially decidable) characterization of adjacency in Pedigree polytopes. Based on this characterization,...

| The combination of local search heuristics and genetic algorithms is a promising approach for nding near-optimum solutions to the traveling salesman problem (TSP). In this paper, an approach is presented in which local search techniques are used to nd local optima in a given TSP search space, and genetic algorithms are used to search the space of local optima in order to nd the global optimum...

In memory ofPaolo Camerini Local search is a well-known and a well·investigated solution approach for the traveling salesman problem. It is not obvious, however, how local search for the TSP has to be implemented efficiently when each city has to be visited within one or more given time windows.1bis is particularly true when parallel computer architectures are available. We consider these quest...

Abstract: The Lin and Kernighan’s algorithm (LK) for the single objective Traveling Salesman Problem (TSP) is one of the most efficient heuristics for the symmetric case. Although many algorithms for the TSP were extended to the multi-objective version of the problem (MTSP), the LK was still not fully explored. Works that applied the LK for the MTSP were driven to weighted sum versions of the p...

Problem statement: Traveling Salesman Problem (TSP) is a famous NP hard problem. Many approaches have been proposed up to date for solving TSP. We consider a TSP tour as a dependent variable and its corresponding distance as an independent variable. If a predictive function can be formulated from arbitrary sample tours, the optimal tour may be predicted from this function. Approach: In this stu...

In this paper we develop efficient heuristic algorithms to solve the bottleneck traveling salesman problem (BTSP). Results of extensive computational experiments are reported. Our heuristics produced optimal solutions for all the test problems considered from TSPLIB, JM-instances, National TSP instances, and VLSI TSP instances in very reasonable running time. We also conducted experiments with ...

The Traveling Salesman Problem (TSP) is one of the classic NP hard optimization problems. The Dynamic TSP (DTSP) is arguably even more difficult than general static TSP. Moreover the DTSP is widely applicable to real-world applications, arguably even more than its static equivalent. However its investigation is only in the preliminary stages. There are many open questions to be investigated. Th...

In last decades, mobile factories have been used due to their high production capability, carrying their equipment and covering rough and uneven routes. Nowadays, more companies use mobile factories with the aim of reducing the transportation and manufacturing costs. The mobile factory must travel between the suppliers, visit all of them in each time period and return to the initial location of...