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Efficiency of Algorithms for Solution of Network Problems with Tree-Like Data Structure

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Abstract

It is shown that the running time of a special simplex algorithm for solution of practical network problems is improved if a tree-like structure is used to store data.

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REFERENCES

  1. A. Aho, J. Hopcroft, and J. Ulman, Construction and Analysis of Computational Algorithms [Russian translation], Mir, Moscow (1979).

    Google Scholar 

  2. M. Fredman and R. G. Tarjan, “Fibonacci heaps and their improved network optimization algoritims,” in: Proc. 25th Ann. Symp. Foundation of Computer Science (1984), pp. 338-346.

  3. P. Kleinschmiidt and H. Schannath, “A strongly polynomial algorithm for the transportation problem,” Math. Prog., 68, 1-13 (1995).

    Google Scholar 

  4. J. Orlin, “A faster strongly polynomial minimum cost flow algorithm,” in: Proc. 20th ACM Symp. on the Theory of Computation (1988), pp. 377-387.

  5. E. G. Gol'shtein and D. B. Yudin, Linear Programming Problems of Transportation Type [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  6. M. L. Balinski, “The Hirsch conjecture for dual transportation polyhedra,” Math. Oper. Res., 9, 629-633 (1984).

    Google Scholar 

  7. M. L. Bronshtein and K. V. Kim, “Programs for solution of the transportation problem in a network and matrix settings,” Progr. Algor., Issue 72, TsEMI AN SSSR, Moscow (1976), pp. 15-22.

    Google Scholar 

  8. K. V. Kim, “On labor-consumption of some simple problems: Abstracts of priority results in mathematical programming,” Inform. Byul. Ekaterinburg, No. 9, Pt. 1, 99-103 (2001).

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Sharifov, F.A. Efficiency of Algorithms for Solution of Network Problems with Tree-Like Data Structure. Cybernetics and Systems Analysis 39, 467–470 (2003). https://doi.org/10.1023/A:1025726030861

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  • DOI: https://doi.org/10.1023/A:1025726030861

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