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Mathematical Programming Decoding of Binary Linear Codes: Theory and Algorithm
Integer programming LP decoding Mathematical programming ML decoding Polyhedral theory
2011/9/14
Abstract: Mathematical programming is a branch of applied mathematics and has recently been used to derive new decoding approaches, challenging established but often heuristic algorithms based on iter...
Convergence of Weighted Min-Sum Decoding Via Dynamic Programming on Trees
belief propagation max product min sum LDPC codes linear programming decoding
2011/9/9
Abstract: Applying the max-product (and belief-propagation) algorithms to loopy graphs is now quite popular for best assignment problems. This is largely due to their low computational complexity and ...
OPTIMALITY CONDITIONS AND DUALITY THEOREMS IN NONCONICAL MULTIOBJECTIVE PROGRAMMING
Multiobjective programming nonconical o
2007/12/17
摘要 This paper is concerned with the nonconical multiobjective programming proly fern. By virtue of the derivate of a binary relation, the sufficient and necessary optimality conditions are presented, ...
NECESSARY CONDITIONS FOR MAJOR OPTIMAL SOLUTIONS AND MAJOR EFFICIENT SOLUTIONS OF MULTIOBJECTIVE PROGRAMMING
Multiobjective programming major optima
2007/12/10
摘要 In this papers the Fritz John conditions and Kuhn-Tucker conditions for majoroptimal solutions and major efficient solutions of multiobjective programming are givenand proved.
NONCONICAL N0NSMOOTH MULTIOBJECTIVE PROGRAMMING-OPTIMALITY CONDITIONS AND DUALITY THEOREMS
Binary relation generalized directional
2007/8/7
This paper deals with Nonconical Nonsmooth Multiobjective Programming Problem. The generalized directional derivate of a mapping w.r.t a binary relation and the derivate of a binary relation are intro...
Major efficiency is an efficiency theory of multiobjective programming, whichis based on the law of majority. For the case that the feasible region is a finite set, paper [3] gave a comparison-number ...
In this paper, we derive an exact penalty function for nonconvex bilevel programming problem based on its KS form. Based on this exact penalty function a sufficient condition for KS to be partially c...
OPTIMAL VALUE FUNCTIONS IN MATHEMATICAL PROGRAMMING AND CONVERGENCE FOR GRADIENT PROJECTION METHOD
optimal value function indicator functi
2007/8/7
In [1] we proved a general result on the directional derivative of optimal value functions in mathematical programming problems. In this paper, we prove, in addition to the general theorem, several ot...
OPTIMALITY CONDITIONS IN NONSMOOTH MULTIOBJECTIVE PROGRAMMING
multiobjective programming generalized
2007/8/7
In this paper, a separation theorem is established firstly. Applying this theorem the relationships between the solutions of a series of inequality systems are discussed. Then a necessary optimality c...
THE COMPARISON-NUMBER METHOD FOR FINDING MAJOR OPTIMAL SOLUTIONS AND MAJOR EFFICIENT SOLUTIONS OF THE DISCRETE MULTIOBJECTIVE PROGRAMMING
Multiobjective programming Pareto effici
2007/8/7
In this paper, we introduce the comparison number for one feasible solutioncompared with another. With the help of it the comparison-number method for finding the major optimal solutions aud major eff...
THE OPTIMALITY CONDITIONS OF D-PSEUDOCONVEX PROGRAMMING WITH OPERATOR CONSTRAINTS
D-pseudoconvex programming operator cons
2007/8/7
The problem of D-pseudoconvex programming with operator constraints is discussed in this paper. Some new optimality conditions are presented and an error made by V. Barbu in [4] is pointed out.
In this paper we discuss necessary conditions in multiobjective differentiable programming. We first give a counterexample to [1,Theorem 2.1] and then present its correct form with which we can easily...
期刊信息
篇名
Uncertain programming:A unifying optimization theory in various uncertain environments.
语种
英文
撰写或编译
作者
刘宝碇
第一作者单位
刊物名称
Applied Mathematics and
页面
2000,Vol.120,Nos.1-3,227-234
出版日期
2000年
月
日
文章...