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A branch-bound algorithm for a wiring problem

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Abstract

A simple computational method for solving a specific wiring problem related to the construction of the RC 4000 computer is described. The intimate relationship between the wiring problem and the traveling salesman problem is established, and the algorithm is based upon the “branch and bound” technique as employed by J.D.C. Little et al. [1] for solving the latter problem.

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References

  1. J. D. C. Little et al.,An Algorithm for The Traveling Salesman Problem, Operations Research, Vol. 11, 1963.

  2. A. H. Land and A. G. Doig,An Automatic Method of Solving Discrete Programming Problems, Econometrica, Vol. 28, 1960.

  3. E. L. Lawler and D. E. Wood,Branch-and-Bound Methods: A Survey, Operations Research, Vol. 14, 1966.

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Adapted from the thesis “Fixed-cost and Other Network Flow Problems” presented to The Institute of Mathematical Statistics and Operations Research, The Technical University of Denmark in partial fulfilment of the requirements for the licentiate degree, April 1967.

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Krarup, J. A branch-bound algorithm for a wiring problem. BIT 9, 133–156 (1969). https://doi.org/10.1007/BF01933250

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  • DOI: https://doi.org/10.1007/BF01933250

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