Parametric network utility maximization problem

被引:1
作者
Yadamsuren, Lutbat [1 ]
Rentsen, Enkhbat [2 ]
Lee, Suk-Hwan [3 ]
Hwang, Won-Joo [1 ]
机构
[1] Inje Univ, UHRC, Dept Informat & Commun Syst, Gimhae, Gyeongnam, South Korea
[2] Natl Univ Mongolia, Dept Math & Comp, Ulaanbaatar, Mongolia
[3] Tongmyong Univ, Dept Informat Secur, Pusan, South Korea
关键词
Utility maximization; Parametric optimization; Lipschitz function; Pathfollowing method; OPTIMIZATION;
D O I
10.1007/s11590-013-0639-0
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
We show how to solve the parametric utility maximization problem with a continuous parameter in a finite number of steps in order to obtain a solution with given accuracy. Also, we propose a new approach for the discretization of time for the parametric utility maximization problem with Lipschitz utility function. Some numerical results are provided.
引用
收藏
页码:889 / 901
页数:13
相关论文
共 19 条
[1]  
[Anonymous], IEEE GLOB TEL C GLOB
[2]  
Chen J., 2011, ABS11010461 CORR
[3]  
Chiang M, 2005, IEEE INFOCOM SER, P2679
[4]   Balancing transport and physical layers in wireless multihop networks: Jointly optimal congestion control and power control [J].
Chiang, M .
IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS, 2005, 23 (01) :104-116
[5]   Layering as optimization decomposition: A mathematical theory of network architectures [J].
Chiang, Mung ;
Low, Steven H. ;
Calderbank, A. Robert ;
Doyle, John C. .
PROCEEDINGS OF THE IEEE, 2007, 95 (01) :255-312
[6]   Adaptive stepsize selection for tracking in a regime-switching environment [J].
Costa, Andre ;
Vazquez-Abad, Felisa J. .
AUTOMATICA, 2007, 43 (11) :1896-1908
[7]  
Enkhbat R., 2006, MONGOLIAN MATH J ULA
[8]  
Gregory Mankiw H., 2000, MACROECONOMICS
[9]  
Guddat J., 1990, Parametric Optimization: Singularities, Pathfollowing, and Jumps
[10]  
Horst R., 1995, Introduction to Global Optimization