MarPlex swMATH ID: 6750 Software Authors: Stojkovi'c, Nebojv{s}a V.; Stanimirovi'c, Predrag S.; Petkovi'c, Marko D.; Milojkovi'c, Danka S. Description: On the simplex algorithm initializing This paper discusses the importance of a starting point in the simplex algorithm. Three different methods for finding a basic feasible solution are compared throughout performed numerical test examples. We show that our two methods on the Netlib test problems have better performances than the classical algorithm for finding initial solution. The comparison of the introduced optimization softwares is based on the number of iterative steps and on the required CPU time. It is pointed out that on average it takes more iterations to determine the starting point than the number of iterations required by the simplex algorithm to find the optimal solution. Homepage: http://www.hindawi.com/journals/aaa/2012/487870/ Keywords: linear programming; optimization algorithms; simplex algorithm; mathematical software { t MarPlex} Related Software: NETLIB LP Test Set; CPLEX; LPbook; CONOPT; SuiteSparseQR; MINOS; METIS; Matlab; COLAMD; R; HQP/OMUSES; EulerCurves; MATISSE; DISCRETA; AIM@SHAPE; PcGets; MIPLIB; rMPC; KELLEY Cited in: 26 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year On the simplex algorithm initializing. Zbl 1256.90025Stojković, Nebojša V.; Stanimirović, Predrag S.; Petković, Marko D.; Milojković, Danka S. 2012 all top 5 Cited by 49 Authors 6 Arsham, Hossein 2 Al-Najjar, Camelia 2 Corley, H. W. jun. 2 Damij, Talib 2 Grad, Janez 2 Malakooti, Behnam B. 2 Nabli, Hédi 2 Samaras, Nikolaos 1 Boonperm, Aua-aree 1 Chahdoura, Sonia 1 Cimperman, G. 1 Cui, Dong 1 Damij, Nadja 1 Du, Xiuli 1 Estellita Lins, Marcos Pereira 1 Gao, Peiwang 1 García Camacha Gutiérrez, Irene 1 Gradišar, Miro 1 Hoeher, Peter Adam 1 Hou, Benwei 1 Hu, Jianfeng 1 Li, Haohao 1 Li, Wei 1 Ma, Yanqin 1 Martín-Martín, Raul 1 Milojković, Danka S. 1 Noroziroshan, Alireza 1 Pan, Ping-Qi 1 Papamanthou, Charalampos 1 Paparrizos, Konstantinos 1 Petković, Marko D. 1 Ploskas, Nikolaos 1 Rosenberger, Jay M. 1 Rudolph, Helmut 1 Sahinidis, Nikolaos V. 1 Saito, G. 1 Sinapiromsaran, Krung 1 Stanimirović, Predrag S. 1 Štemberger, Mojca Indihar 1 Stojković, Nebojša V. 1 Sun, Zhuo 1 Sung, Tai-Kuan 1 Torsney, Bernard 1 Junior Vieira, Hélcio 1 Wang, Shuaian 1 Yeh, Wei-Chang 1 Yu, Shucheng 1 Zhang, Lili 1 Zhen, Lu all top 5 Cited in 10 Serials 14 Applied Mathematics and Computation 3 Computers & Operations Research 1 Optimization 1 Annals of Operations Research 1 European Journal of Operational Research 1 SIAM Review 1 Abstract and Applied Analysis 1 Journal of Beijing University of Technology 1 SORT. Statistics and Operations Research Transactions 1 Mathematical Programming Computation Cited in 5 Fields 22 Operations research, mathematical programming (90-XX) 11 Numerical analysis (65-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year