Abstract
The paper contains critical remarks on global optimisation algorithms published by R. Horst and N. V. Thoai.
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Horst, R., Thoai, N. V.: Modification implementation and comparison of three algorithms for globally solving linearly constrained concave minimization problems. Computing42, 271–289 (1989).
Thoai, N. V.: On the construction of test problems for concave minimization algorithms. J. Global Optim.5, 399–402 (1994).
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Editor’s Note: In Computing42 (1989), we published an article ‘Modification, Implementation and Comparison of Three Algorithms for Globally Solving Linearly Constrained Concave Minimization Problems’ by R. Horst and N. V. Thoai. On December 1, 1995 we received a manuscript of H. D. Tuan expressing doubts on the correctness of this paper. After some correspondence with the authors we received an Erratum from R. Horst and N. V. Thoai (see p. 94 of this issue) and the above modified version of H. D. Tuan’s objections. We decided to publish both communications and to leave it to the reader to form an opinion on this controversy. [R. F. Albrecht]
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Tuan, H.D. Can linear programs be used to test global optimization algorithms?. Computing 59, 91–93 (1997). https://doi.org/10.1007/BF02684406
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DOI: https://doi.org/10.1007/BF02684406