An Extended Duality Theorem for Continuous Linear Programming Problems
William Felker Tyndall · SIAM Journal on Applied Mathematics · 1967
Previous article Next article An Extended Duality Theorem for Continuous Linear Programming ProblemsWilliam F. TyndallWilliam F. Tyndallhttps://doi.org/10.1137/0115112PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] William F. Tyndall, A duality theorem for a class of continuous linear programming problems, J. Soc. Indust. Appl. Math., 13 (1965), 644–666 10.1137/0113043 MR0191640 0171.40701 LinkISIGoogle Scholar[2] N. Levinson, A class of continuous linear programming problems, J. Math. Anal. Appl., 16 (1966), 73–83 10.1016/0022-247X(66)90187-9 MR0205686 0141.35601 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Extended Form of Robust Solutions for Uncertain Continuous-Time Linear Programming Problems with Time-Dependent MatricesAxioms, Vol. 11, No. 5 | 1 May 2022 Cross Ref Time-Varying Semidefinite ProgramsMathematics of Operations Research, Vol. 46, No. 3 | 1 Aug 2021 Cross Ref Robust Solutions for Uncertain Continuous-Time Linear Programming Problems with Time-Dependent MatricesMathematics, Vol. 9, No. 8 | 16 April 2021 Cross Ref Robust continuous linear programsOptimization Letters, Vol. 14, No. 7 | 3 February 2020 Cross Ref The Analogue of Regional Economic Models in Quantum CalculusJournal of Physics: Conference Series, Vol. 1530, No. 1 | 1 May 2020 Cross Ref A simplex-type algorithm for continuous linear programs with constant coefficientsMathematical Programming, Vol. 180, No. 1-2 | 3 December 2018 Cross Ref Numerical method for solving the continuous-time linear programming problems with time-dependent matrices and piecewise continuous functionsAIMS Mathematics, Vol. 5, No. 6 | 1 Jan 2020 Cross Ref A Quantum Calculus Analogue of Dynamic Leontief Production Model with Linear Objective FunctionJournal of Physics: Conference Series, Vol. 1234, No. 1 | 1 Jul 2019 Cross Ref Numerical Method for Solving the Robust Continuous-Time Linear Programming ProblemsMathematics, Vol. 7, No. 5 | 16 May 2019 Cross Ref Separated and state-constrained separated linear programming problems on time scalesBoletim da Sociedade Paranaense de Matemática, Vol. 38, No. 4 | 10 March 2019 Cross Ref Solving Continuous-Time Linear Programming Problems Based on the Piecewise Continuous FunctionsNumerical Functional Analysis and Optimization, Vol. 37, No. 9 | 17 June 2016 Cross Ref Parametric continuous-time linear fractional programming problemsJournal of Inequalities and Applications, Vol. 2015, No. 1 | 19 August 2015 Cross Ref APPROXIMATE SOLUTIONS FOR CONTINUOUS-TIME QUADRATIC FRACTIONAL PROGRAMMING PROBLEMSTaiwanese Journal of Mathematics, Vol. 18, No. 6 | 1 Nov 2014 Cross Ref Symmetric Strong Duality for a Class of Continuous Linear Programs with Constant CoefficientsEvgeny Shindin and Gideon WeissSIAM Journal on Optimization, Vol. 24, No. 3 | 31 July 2014AbstractPDF (272 KB)Continuous-time linear programming problems revisited: A perturbation approachOptimization, Vol. 62, No. 1 | 1 Jan 2013 Cross Ref Using the parametric approach to solve the continuous-time linear fractional max–min problemsJournal of Global Optimization, Vol. 54, No. 1 | 17 July 2011 Cross Ref AN INTERVAL-TYPE ALGORITHM FOR CONTINUOUS-TIME LINEAR FRACTIONAL PROGRAMMING PROBLEMSTaiwanese Journal of Mathematics, Vol. 16, No. 4 | 1 Jul 2012 Cross Ref CONTINUOUS-TIME QUADRATIC PROGRAMMING PROBLEMS: APPROXIMATE SOLUTIONS AND ERROR ESTIMATIONTaiwanese Journal of Mathematics, Vol. 16, No. 2 | 1 Mar 2012 Cross Ref Approximate solutions and error bounds for a class of continuous-time linear programming problemsOptimization, Vol. 61, No. 2 | 1 Feb 2012 Cross Ref Approximate Solutions and Duality Theorems for Continuous-Time Linear Fractional Programming ProblemsNumerical Functional Analysis and Optimization, Vol. 33, No. 1 | 1 Jan 2012 Cross Ref Using the Dinkelbach-type algorithm to solve the continuous-time linear fractional programming problemsJournal of Global Optimization, Vol. 49, No. 2 | 23 March 2010 Cross Ref A recurrence method for a special class of continuous time linear programming problemsJournal of Global Optimization, Vol. 47, No. 1 | 29 July 2009 Cross Ref A duality theory of payment systemsJournal of Mathematical Economics, Vol. 45, No. 9-10 | 1 Sep 2009 Cross Ref A RECURRENCE METHOD FOR SIMPLE CONTINUOUS LINEAR PROGRAMMING PROBLEMSJournal of the Chinese Institute of Industrial Engineers, Vol. 26, No. 2 | 1 Jan 2009 Cross Ref A numerical method for solving a class of continuous-time linear programming problems2007 IEEE International Conference on Industrial Engineering and Engineering Management | 1 Dec 2007 Cross Ref Continuous-time optimization problems involving invex functionsJournal of Mathematical Analysis and Applications, Vol. 327, No. 2 | 1 Mar 2007 Cross Ref Nonsmooth continuous-time optimization problems: necessary conditionsComputers & Mathematics with Applications, Vol. 41, No. 12 | 1 Jun 2001 Cross Ref A New Algorithm for State-Constrained Separated Continuous Linear ProgramsXiaodong Luo and Dimitris BertsimasSIAM Journal on Control and Optimization, Vol. 37, No. 1 | 26 July 2006AbstractPDF (541 KB)A Duality Theory for Separated Continuous Linear ProgramsMalcolm C. 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