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An Alternate Formulation and Lagrangean Heuristic for the Traveling Salesperson Problem (1999)  (Make Corrections)  
Harvey H. Millar



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Abstract: In this paper we present a zero-one integer formulation for the TSP with 2n 2 variables and n 3 - 4n 2 +11n-6 constraints. The formulation exploits two embedded assignment problems in the TSP polytope. One problem deals with linking cities to cities, while the other assigns the cities to the N positions on the TSP tour. The two assignment problems are coupled through logical constraints. We present a Lagrangean algorithm to solve the TSP solutions and provide valid lower bounds. Some... (Update)

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BibTeX entry:   (Update)

@misc{ millar-alternate,
  author = "Harvey H. Millar",
  title = "An Alternate Formulation and Lagrangean Heuristic for the Traveling Salesperson
    Problem",
  url = "citeseer.ist.psu.edu/millar99alternate.html" }
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1   and S. Graves, "An n-constraint formulation of the (time-dep.. (context) - Fox, Gavish - 1980

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