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Technology of multilinear programming in naturally conditioned models. I

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Presented were a scheme for natural recursive description of the multilinear problem and a phase method for its solution based on the decomposition into a sequence of linear problems with maximal use of the extension of degrees of freedom of each phase. The paper opens a series of two papers.

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References

  1. Lukatskii, A.M. and Shapot, D.V., Methods to Solve the Multilinear Programming Problems, Zh. Vychisl. Mat. Mat. Fiz., 2001, vol. 41, pp. 680–691.

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  2. Drenic, R.F., Multilinear Programming: Duality Theories, JOTA, 1992, vol. 72, pp. 459–486.

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  3. Karbovskii, I.N., Technology of Multilinear Programming in Naturally Conditioned Models. II, Autom. Remote Control, 2014, vol. 75.

  4. Hamblin, C.I., Translation to and from Polish Notation, Comput. J., 1962, vol. 5, no. 3, pp. 210–213.

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Original Russian Text © I.N. Karbovskii, 2014, published in Avtomatika i Telemekhanika, 2014, No. 9, pp. 83–96.

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Karbovskii, I.N. Technology of multilinear programming in naturally conditioned models. I. Autom Remote Control 75, 1608–1617 (2014). https://doi.org/10.1134/S0005117914090069

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  • DOI: https://doi.org/10.1134/S0005117914090069

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