@article {IOPORT.00737312, author = {De Kort, J.B.J.M.}, title = {Bounds for the symmetric 2-peripatetic salesman problem.}, year = {1992}, journal = {Optimization}, volume = {23}, number = {4}, issn = {0233-1934}, pages = {357-367}, publisher = {Taylor \& Francis, Abingdon, Oxon}, doi = {10.1080/02331939208843770}, abstract = {Summary: The 2-Peripatetic Salesman Problem (2-PSP) minimizes the total length of 2 edge-disjoint Hamiltonian cycles. This type of problems arises in designing communication or computer networks, or whenever one aims to increase network reliability using disjoint tours. The NP-hardness of the 2-PSP is shown. Lower bound values are obtained by generalizing the 1- type approach for the TSP to a 2 edge-disjoint 1-trees approach for the 2-PSP. One can construct 2 edge-disjoint 1-trees using a greedy algorithm, into which a partitioning procedure is incorporated that runs $O(n\sp 2\log n)$ time. Upper bound solutions are obtained by two heuristics based on a lower bound solution and by a modified Savings heuristic for problems up to 140 cities.}, identifier = {00737312}, }