Advances in design and implementation of optimization software
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- Robert E. Bixby, 1992. "Implementing the Simplex Method: The Initial Basis," INFORMS Journal on Computing, INFORMS, vol. 4(3), pages 267-284, August.
- Maros, Istvan, 1986. "A general Phase-I method in linear programming," European Journal of Operational Research, Elsevier, vol. 23(1), pages 64-77, January.
- Ilan Adler & Narendra Karmarkar & Mauricio G. C. Resende & Geraldo Veiga, 1989. "Data Structures and Programming Techniques for the Implementation of Karmarkar's Algorithm," INFORMS Journal on Computing, INFORMS, vol. 1(2), pages 84-106, May.
- Kevin A. McShane & Clyde L. Monma & David Shanno, 1989. "An Implementation of a Primal-Dual Interior Point Method for Linear Programming," INFORMS Journal on Computing, INFORMS, vol. 1(2), pages 70-83, May.
- Uwe H. Suhl & Leena M. Suhl, 1990. "Computing Sparse LU Factorizations for Large-Scale Linear Programming Bases," INFORMS Journal on Computing, INFORMS, vol. 2(4), pages 325-335, November.
- Andersen, E.D. & Gondzio, J. & Meszaros, C. & Xu, X., 1996. "Implementation of Interior Point Methods for Large Scale Linear Programming," Papers 96.3, Ecole des Hautes Etudes Commerciales, Universite de Geneve-.
- István Maros & Gautam Mitra, 1998. "Strategies for Creating Advanced Bases for Large-Scale Linear Programming Problems," INFORMS Journal on Computing, INFORMS, vol. 10(2), pages 248-260, May.
- Jacek Gondzio, 1997. "Presolve Analysis of Linear Programs Prior to Applying an Interior Point Method," INFORMS Journal on Computing, INFORMS, vol. 9(1), pages 73-91, February.
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Cited by:
- Sophia Voulgaropoulou & Nikolaos Samaras & Nikolaos Ploskas, 2022. "Predicting the Execution Time of the Primal and Dual Simplex Algorithms Using Artificial Neural Networks," Mathematics, MDPI, vol. 10(7), pages 1-21, March.
- Péter Tar & Bálint Stágel & István Maros, 2017. "Parallel search paths for the simplex algorithm," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(4), pages 967-984, December.
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