A practicable branch and bound algorithm for sum of linear ratios problem
暂无分享,去创建一个
[1] R. Horst,et al. Global Optimization: Deterministic Approaches , 1992 .
[2] Tomomi Matsui,et al. Parametric simplex algorithms for solving a special class of nonconvex minimization problems , 1991, J. Glob. Optim..
[3] Erik B. Bajalinov,et al. Linear-Fractional Programming Theory, Methods, Applications and Software , 2013 .
[4] Oleg A. Prokopyev,et al. Fractional 0–1 programming: applications and algorithms , 2016, Journal of Global Optimization.
[5] Yanjun Wang,et al. A branch-and-bound algorithm to globally solve the sum of several linear ratios , 2005, Appl. Math. Comput..
[6] Harold P. Benson. Branch-and-Bound Outer Approximation Algorithm for Sum-of-Ratios Fractional Programs , 2010 .
[7] Chun-Feng Wang,et al. Global optimization for sum of linear ratios problem with coefficients , 2006, Appl. Math. Comput..
[8] Yurii Nesterov,et al. An interior-point method for generalized linear-fractional programming , 1995, Math. Program..
[9] C Tofallis,et al. Fractional Programming: Theory, Methods and Applications , 1997, J. Oper. Res. Soc..
[10] Alain Billionnet,et al. Mathematical optimization ideas for biodiversity conservation , 2013, Eur. J. Oper. Res..
[11] Shen Pei-ping,et al. A branch-and-bound algorithm to globally solve the sum of several linear ratios , 2005 .
[12] Shouyang Wang,et al. Conical Partition Algorithm for Maximizing the Sum of dc Ratios , 2005, J. Glob. Optim..
[13] Kecun Zhang,et al. Global optimization of nonlinear sum of ratios problem , 2004, Appl. Math. Comput..
[14] Harold P. Benson. On the Construction of Convex and Concave Envelope Formulas for Bilinear and Fractional Functions on Quadrilaterals , 2004, Comput. Optim. Appl..
[15] Mokhtar S. Bazaraa,et al. Nonlinear Programming: Theory and Algorithms , 1993 .
[16] Hongwei Jiao,et al. A branch and bound algorithm for globally solving a class of nonconvex programming problems , 2009 .
[17] H. P. Benson,et al. Global Optimization Algorithm for the Nonlinear Sum of Ratios Problem , 2002 .
[18] Susan W. Palocsay,et al. Image space analysis of generalized fractional programs , 1994, J. Glob. Optim..
[19] HAROLD P. BENSON. Using concave envelopes to globally solve the nonlinear sum of ratios problem , 2002, J. Glob. Optim..
[20] Peiping Shen,et al. Using conical partition to globally maximizing the nonlinear sum of ratios , 2010 .
[21] Joe Zhu,et al. Integrated data envelopment analysis: Global vs. local optimum , 2013, Eur. J. Oper. Res..
[22] D. Simchi-Levi,et al. Queueing‐location problems on the plane , 1990 .
[23] Yongjun Li,et al. An equilibrium efficiency frontier data envelopment analysis approach for evaluating decision-making units with fixed-sum outputs , 2014, Eur. J. Oper. Res..
[24] Hiroshi Konno,et al. Minimization of the sum of three linear fractional functions , 1999, J. Glob. Optim..
[25] Yongqiang Chen,et al. A note on a deterministic global optimization algorithm , 2008, Appl. Math. Comput..
[26] Takahito Kuno,et al. A branch-and-bound algorithm for maximizing the sum of several linear ratios , 2002, J. Glob. Optim..
[27] Vaithilingam Jeyakumar,et al. Strong duality for robust minimax fractional programming problems , 2013, Eur. J. Oper. Res..
[28] Chiang Kao,et al. Network data envelopment analysis: A review , 2014, Eur. J. Oper. Res..
[29] TAKAHITO KUNO,et al. A Revision of the Trapezoidal Branch-and-Bound Algorithm for Linear Sum-of-Ratios Problems , 2005, J. Glob. Optim..
[30] Harold P. Benson,et al. A simplicial branch and bound duality-bounds algorithm for the linear sum-of-ratios problem , 2007, Eur. J. Oper. Res..
[31] Hoang Tuy,et al. A Unified Monotonic Approach to Generalized Linear Fractional Programming , 2003, J. Glob. Optim..
[32] H. P. Benson,et al. On the Global Optimization of Sums of Linear Fractional Functions over a Convex Set , 2004 .
[33] H. Konno,et al. BOND PORTFOLIO OPTIMIZATION PROBLEMS AND THEIR APPLICATIONS TO INDEX TRACKING: A PARTIAL OPTIMIZATION APPROACH , 1996 .
[34] M. Rao. Cluster Analysis and Mathematical Programming , 1971 .
[35] Chun-Feng Wang,et al. Global optimization for sum of generalized fractional functions , 2008 .
[36] Hongwei Jiao,et al. Global optimization algorithm for sum of generalized polynomial ratios problem , 2013 .
[37] Joe Zhu,et al. Fixed cost and resource allocation based on DEA cross-efficiency , 2014, Eur. J. Oper. Res..
[38] 筑波大学電子・情報工学系,et al. A revision of the trapezoidal branch-and-bound algorithm for linear sum-of-rations problems , 2003 .
[39] Chun-Feng Wang,et al. A global optimization algorithm for linear fractional programming , 2008, Appl. Math. Comput..
[40] Peiping Shen,et al. A simplicial branch and duality bound algorithm for the sum of convex-convex ratios problem , 2009 .
[41] Siegfried Schaible,et al. Fractional programming: The sum-of-ratios case , 2003, Optim. Methods Softw..
[42] João Paulo Costa,et al. Computing non-dominated solutions in MOLFP , 2007, Eur. J. Oper. Res..
[43] Hiroshi Konno,et al. A Branch and Bound Algorithm for Solving Low Rank Linear Multiplicative and Fractional Programming Problems , 2000, J. Glob. Optim..
[44] Shashi Kant Mishra,et al. An extension of branch-and-bound algorithm for solving sum-of-nonlinear-ratios problem , 2012, Optim. Lett..
[45] Detong Zhu,et al. Global optimization method for maximizing the sum of difference of convex functions ratios over nonconvex region , 2013 .
[46] Shu-Cherng Fang,et al. Global optimization for a class of fractional programming problems , 2009, J. Glob. Optim..
[47] Garth P. McCormick,et al. Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems , 1976, Math. Program..
[48] Esmaile Khorram,et al. Solving the sum-of-ratios problems by a harmony search algorithm , 2010, J. Comput. Appl. Math..