Artigo Revisado por pares

Complementary Geometric Programming

1970; Society for Industrial and Applied Mathematics; Volume: 19; Issue: 1 Linguagem: Inglês

10.1137/0119011

ISSN

1095-712X

Autores

Mordecai Avriel, Adrian Williams,

Tópico(s)

Advanced Optimization Algorithms Research

Resumo

Previous article Next article Complementary Geometric ProgrammingM. Avriel and A. C. WilliamsM. Avriel and A. C. Williamshttps://doi.org/10.1137/0119011PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Mordecai Avriel, Fundamentals of geometric programming. (With discussion.), Applications of Mathematical Programming Techniques (Conf., Univ. Cambridge, Cambridge, 1968), American Elsevier, New York, 1970, 295–313 MR0263419 Google Scholar[2] C. Bergs, Topological Spaces, Oliver and Boyd, Edinburgh, 1963 0114.38602 Google Scholar[3] G. E. Blau and , D. J. Wilds, Second order characterization of generalized polynomial programs, International Symposium on Mathematical Programming, Princeton, New Jersey, 1967 Google Scholar[4] George B. Dantzig, , Jon Folkman and , Norman Shapiro, On the continuity of the minimum sets of a continuous function, J. Math. Anal. Appl., 17 (1967), 519–548 10.1016/0022-247X(67)90139-4 MR0207426 0153.49201 CrossrefISIGoogle Scholar[5] Richard J. Duffin, , Elmor L. Peterson and , Clarence Zener, Geometric programming: Theory and application, John Wiley & Sons Inc., New York, 1967xi+278 MR0214374 0171.17601 Google Scholar[6] Revaz V. Gamkrelidze, Extremal problems in finite-dimensional spaces, J. Optimization Theory Appl., 1 (1967), 173–193 10.1007/BF00926062 MR0242037 0153.15902 CrossrefGoogle Scholar[7] E. G. Gilbert, University of Michigan, private communication Google Scholar[8] Fritz John, K. O. Friedrichs, , O. E. Neugebauer and , J. J. Stoker, Extremum problems with inequalities as subsidiary conditions, Studies and Essays Presented to R. Courant on his 60th Birthday, January 8, 1948, Interscience Publishers, Inc., New York, N. Y., 1948, 187–204 MR0030135 0034.10503 Google Scholar[9] Samuel Karlin, Mathematical methods and theory in games, programming and economics. Vol. I: Matrix games, programming, and mathematical economics, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1959Vol. I, x+433 MR0111634 Google Scholar[10] H. W. Kuhn and , A. W. Tucker, Nonlinear programming, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, 1950, University of California Press, Berkeley and Los Angeles, 1951, 481–492 MR0047303 0044.05903 Google Scholar[11] Garth P. McCormick, Second order conditions for constrained minima, SIAM J. Appl. Math., 15 (1967), 641–652 10.1137/0115056 MR0216866 0166.15601 LinkISIGoogle Scholar[12] U. Passy and , D. J. Wilde, Generalized polynomial optimization, SIAM J. Appl. Math., 15 (1967), 1344–1356 10.1137/0115117 MR0232601 0171.18002 LinkISIGoogle Scholar[13] J. B. Rosen, Iterative solution of nonlinear optimal control problems, SIAM J. Control, 4 (1966), 223–244 10.1137/0304021 MR0189877 0229.49025 LinkGoogle Scholar[14] D. J. Wilds and , C. S. Beightler, Foundations of Optimization, Prentice Hall, Englewood Cliffs, N.J., 1967 0189.19702 Google Scholar[15] A. C. Williams, Marginal values in linear programming, J. Soc. Indust. Appl. Math., 11 (1963), 82–94 10.1137/0111006 MR0184725 0115.38102 LinkISIGoogle Scholar[16] W. I. Zangwill, Nonlinear Programming: A Unified Approach, Prentice-Hall, Englewood Cliffs, N.J., 1959 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Performance Tradeoff of MVNOs in OFDMA-Based Virtualized Wireless NetworksIEEE Transactions on Vehicular Technology, Vol. 71, No. 1 Cross Ref Power allocation in Uplink Multiband Satellite System with Nonlinearity-Aware Receiver Cross Ref User Association in Cloud RANs with Massive MIMOIEEE Transactions on Cloud Computing, Vol. 9, No. 2 Cross Ref Compact Estimation and Optimization of Signomial Geometric Programming Cross Ref A relative adequacy framework for multimodel management in multidisciplinary design optimization28 July 2020 | Structural and Multidisciplinary Optimization, Vol. 62, No. 4 Cross Ref Secure transmission and power allocation in multiuser distributed massive MIMO systems25 September 2018 | Wireless Networks, Vol. 26, No. 2 Cross Ref Drug-resistant Cancer Treatment Strategies Based on the 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