A search algorithm for the traveling salesman problem

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Abstract

A search algorithm, based on the concepts of lexicographic search and sequential decision processes, is proposed for the solution of the traveling salesman problem. Starting with an initial trial solution, the search algorithm sequentially generates better tours until an optimal (least cost) tour is identified. The logical structure of the search algorithm is such that the computational effort required to solve a problem by the proposed approach is less than that by the branch and bound procedures.

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Cited by (6)

Jatinder N. D. Gupta is currently General Manager, Information Technology Division, MIS Department, U.S. Postal Service, Washington, D.C. He holds a B.E. (Mech.) from the University of Delhi, M. Tech (IE and OR) from the Indian Institute of Technology, Kharagpur, India and Ph.D. from Texas Tech University. He is the author of several papers appearing in such journals as: Operations Research, AIIE Transactions, Naval Research Logistics Quarterly, Decision Sciences, Operational Research Quarterly and The International Journal of Production Research. Serving on the editorial board of several professional journals, including Computers and Operations Research, Dr. Gupta is the co-author of an introductory text: Operations Research in Decision Making.

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