Literature Cited
M. Garey and T. Johnson, Computers and Intractability, Freeman, San Francisco (1979).
Ch. Papadimitrious and K. Steiglitz, Combinatorial Optimization: Algorithms and Complexity, Prentice Hall, Englewood Cliffs, NJ (1982).
I. V. Sergienko, Mathematical Models and Methods of Solution of Discrete Optimization Problems [in Russian], Naukova Dumka, Kiev (1985).
D. Davis (ed.), Concurrent Systems [Russian translation], Mir, Moscow (1985).
V. V. Voevodin, Mathematical Models and Methods in Parallel Processes [Russian translation], Mir, Moscow (1986).
V. S. Mikhalevich, Yu. V. Kapitonova, A. A. Letichevskii, I. N. Molchanov, and S. B. Pogrebinskii, “Organization of computations in multiprocessor computing systems,” Kibernetika, No. 3, 1–10 (1984).
V. S. Mikhalevich, Yu. V. Kapitonova, and A. A. Letichevskii, “On methods of organization of macropipelined computations,” Kibernetika, No. 3, 3–10 (1986).
I. N. Molchanov (ed.), Numerical Methods for the ES Multiprocessor Computer System [in Russian], Nauka, Moscow (1985).
B. W. Wah, L.-J. Li, and C.-F. Yu, “The status of MANIP—a multicomputer architecture for solving combinatorial extremum-search problems,” 11th Ann. Int. Symp. Computer Architecture, Ann. Arbor, Mich., 5–7 June, 1984, Silver Springs (1984), pp. 56–63.
D. J. Kuck, “Multioperation machine computational complexity,” in: Complexity of Sequential and Parallel Numerical Algorithms, J. F. Traub (ed.), Academic Press, New York (1973), pp. 17–47.
E. L. Lawler, Combinatorial Optimization: Networks and Matroids, Holt, Rinehart, Winston, New York (1976).
T. Ibaraki, “Theoretical comparison in search strategies in branch-and-bound algorithms,” Int. J. Comput. Inform. Sci.,5, No. 4, 315–344 (1976).
L. F. Gulyanitskii and I. V. Sergienko, “On implementation of the branch-and-bound method in multiprocessor computer system,” in: Problems of Creation of Supercomputers. Supersystems, and Efficiency of Their Application, 1st All-Union Conf., abstracts of papers [in Russian], Part 2, Minsk (1987), pp. 25–27.
D. Knuth, The Art of Computer Programming, Sorting and Searching, Vol. 3, Addison-Wesley, Reading, Mass. (1975).
Additional information
Translated from Kibernetika, No. 4, pp. 26–33, July–August, 1988.
Rights and permissions
About this article
Cite this article
Gulyanitskii, L.F., Sergienko, I.V. & Khodzinskii, A.N. Discrete optimization methods for multiprocessor computer systems. Cybern Syst Anal 24, 418–427 (1988). https://doi.org/10.1007/BF01070581
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01070581