首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到20条相似文献,搜索用时 78 毫秒
1.
研究了二层多目标最优化模型(BLMOP)解集的连通性问题,其中(BLMOP)的上层集值目标函数由下层问题的有效点确定.把(BLMOP)看作成单层的集值函数优化问题,借助集值函数优化问题各种有效解集的连通性的结论,得到了(BLMOP)相应的有效解集连通性的结论.  相似文献   

2.
借助集值优化问题的灵敏度分析,讨论了下层无扰动,上层带扰动参数的二层多目标最优化问题的灵敏度分析.  相似文献   

3.
研究了特殊的二层极大极小随机规划逼近收敛问题.首先将下层初始随机规划最优解集拓展到非单点集情形,且可行集正则的条件下,讨论了下层随机规划逼近问题最优解集关于上层决策变量参数的上半收敛性和最优值函数的连续性.然后把下层随机规划的ε-最优解向量函数反馈到上层随机规划的目标函数中,得到了上层随机规划逼近问题的最优解集关于最小信息概率度量收敛的上半收敛性和最优值的连续性.  相似文献   

4.
霍永亮 《应用数学》2016,29(2):325-330
本文首先将极大极小随机规划等价的转化为一个二层随机规划,在下层初始随机规划最优解集为多点集的情形下,给出下层随机规划逼近问题最优解集集值映射关于上层决策变量参数的上半收敛性和最优值函数的连续性.然后将上层随机规划等价转化为以上层和下层决策变量作为整体决策变量,以下层规划最优解集的图作为约束条件的单层规划,并在下层初始随机规划最优解集的图为正则的条件下,得到上层随机规划逼近问题最优解集关于最小信息概率度量收敛的上半收敛性.  相似文献   

5.
本文研究了一类线性二层多目标规划(上层为单目标、下层为多目标)"悲观最优解"的求解问题.利用罚函数方法给出了该类问题"悲观最优解"的存在性定理,证明了罚函数的精确性,同时设计了相应的罚函数算法.数值结果表明所设计的罚函数方法是可行的.  相似文献   

6.
考虑到组织决策中分权的普遍存在和高低管理层间依靠信息沟通所发生的控制和协调行为以及组织环境和内部条件的真实特征-不定性,本文将一类特殊的多人两层多目标协调决策模型置于组织不定性环境中予以研究,提出了不定性多人两层多目标协调决策模型.并通过模型的不断转化和K—T条件的应用,最终转化为确定的一般目标规划模型.同时,考虑到上层决策单元对下层决策行为的信息反馈进行处理时的及时性和交互性要求,一个具有快速反应能力的双层人机交互决策模式在问题求解中被设计出来以适应组织对适时目标管理的信息处理需要.  相似文献   

7.
双层规划的递阶交互决策有效化方法   总被引:2,自引:0,他引:2  
刘红英 《应用数学》2005,18(3):333-338
本文讨论了协调集上双层规划问题解的性质,所得结论表明上层将所得利益全部让给下层,或下层将所得利益全部让给上层.当决策者不满足此种有效化方式时,必须寻找体现递阶结构的有效化方法.本文给出了一种保持递阶结构的递阶交互决策有效化方法.该方法适用于下层有多个平行子问题的双层线性规划.  相似文献   

8.
二层凸规划的基本性质   总被引:2,自引:0,他引:2  
王先甲  冯尚友 《应用数学》1995,8(3):283-288
本文研究了一类抛述二层决策问题的二层数学规划模型,在一定条件下讨论了下层极值函数和上层复合目标函数的凸性和连续性,给出了二层决策问题优决策的存在条件。  相似文献   

9.
基于Vague集的模糊多目标决策方法及应用   总被引:1,自引:0,他引:1  
针对目前基于Vague集多目标决策中Vague值计算困难以及确定目标满意度的下界和不满意度的上界存在主观随意性问题.提出了一种基于Vague集的模糊多目标决策方法.利用属性数学中的属性集和属性测度理论构造目标的真隶属度函数、假隶属度函数和犹豫度函数,从而可计算出目标的Vague值;采用记分函数计算方案的多目标评分值,从而可以对方案进行排序并选择出最优方案.应用实例验证了该方法的有效性和实用性.  相似文献   

10.
本文针对上层为凸的单目标、下层为线性多目标的二层规划问题提出了一个精确罚函数法,讨论了初始罚因子的选取,给出了精确罚因子及其自适应增加机制,并证明了该算法的有限终止性。  相似文献   

11.
In this paper, we study the approximate solutions for vector optimization problem with set-valued functions. The scalar characterization is derived without imposing any convexity assumption on the objective functions. The relationships between approximate solutions and weak efficient solutions are discussed. In particular, we prove the connectedness of the set of approximate solutions under the condition that the objective functions are quasiconvex set-valued functions.  相似文献   

12.
在赋范线性空间中借助切导数研究集值优化问题的严有效性.当目标函数和约束函数相对于同一向量函数为拟不变凸时,利用凸集分离定理给出了集值优化问题取得严有效元的Kuhn—Xhcker型最优陛必要条件.利用切导数的性质,用构造性方法得到了拟不变凸集值优化问题取得严有效元的充分条件.  相似文献   

13.
In this paper we investigate a vector optimization problem (P) where objective and constraints are given by set-valued maps. We show that by mean of marginal functions and suitable scalarizing functions one can characterize certain solutions of (P) as solutions of a scalar optimization problem (SP) with single-valued objective and constraint functions. Then applying some classical or recent results in optimization theory to (SP) and using estimates of subdifferentials of marginal functions, we obtain optimality conditions for (P) expressed in terms of Lagrange or sequential Lagrange multipliers associated with various coderivatives of the set-valued data.  相似文献   

14.
The principal aim of this paper is to extend some recent results concerning the contractibility of efficient sets and the Pareto reducibility in multicriteria explicitly quasiconvex optimization problems to similar vector optimization problems involving set-valued objective maps. To this end, an appropriate notion of generalized convexity is introduced for set-valued maps taking values in a partially ordered real linear space, which naturally extends the classical concept of explicit quasiconvexity of real-valued functions. Actually, the class of so-called explicitly cone-quasiconvex set-valued maps in particular contains the cone-convex set-valued maps, and it is contained in the class of cone-quasiconvex set-valued maps.   相似文献   

15.
本文讨论上层目标函数以下层子系统目标函数的最优值作为反馈的一类二层凸规划的对偶规划问题 ,在构成函数满足凸连续可微等条件的假设下 ,建立了二层凸规划的 Lagrange对偶二层规划 ,并证明了基本对偶定理 .  相似文献   

16.
引进了一种二阶切导数,借助该切导数给出了变序结构集值优化问题取得局部弱非控点的二阶最优性必要条件.在某种特殊情况下,给出了一阶最优性条件.通过修正的Dubovitskij-Miljutin切锥导出的约束规格,给出了两个集值映射之和的二阶相依切导数的关系式,进一步得到目标函数与变锥函数的二阶相依切导数分开形式的最优性必要条件.  相似文献   

17.
The relationships between (strict, strong) convexity of non-differentiable functions and (strict, strong) monotonicity of set-valued mappings, and (strict, strong, sharp) pseudo convexity of non-differentiable functions and (strict, strong) pseudo monotonicity of set-valued mappings, as well as quasi convexity of non-differentiable functions and quasi monotonicity of set-valued mappings are studied in this paper. In addition, the relations between generalized convexity of non-differentiable functions and generalized co-coerciveness of set-valued mappings are also analyzed.  相似文献   

18.
Near-Subconvexlikeness in Vector Optimization with Set-Valued Functions   总被引:1,自引:0,他引:1  
A new class of generalized convex set-valued functions, termed nearly-subconvexlike functions, is introduced. This class is a generalization of cone-subconvexlike maps, nearly-convexlike set-valued functions, and preinvex set-valued functions. Properties for the nearly-subconvexlike functions are derived and a theorem of the alternative is proved. A Lagrangian multiplier theorem is established and two scalarization theorems are obtained for vector optimization.  相似文献   

19.
This paper considers Stackelberg solutions for decision making problems in hierarchical organizations under fuzzy random environments. Taking into account vagueness of judgments of decision makers, fuzzy goals are introduced into the formulated fuzzy random two-level linear programming problems. On the basis of the possibility and necessity measures that each objective function fulfills the corresponding fuzzy goal, together with the introduction of probability maximization criterion in stochastic programming, we propose new two-level fuzzy random decision making models which maximize the probabilities that the degrees of possibility and necessity are greater than or equal to certain values. Through the proposed models, it is shown that the original two-level linear programming problems with fuzzy random variables can be transformed into deterministic two-level linear fractional programming problems. For the transformed problems, extended concepts of Stackelberg solutions are defined and computational methods are also presented. A numerical example is provided to illustrate the proposed methods.  相似文献   

20.
侯震梅  周勇 《应用数学》2006,19(2):289-295
本文研究了由目标函数扰动的集值优化问题的有效点集所定义的集值映射的半连续性.讨论了目标函数扰动的集值优化问题在上半连续意义下的稳定性.特别地,在广义适定性条件下,证明了集值优化问题在上半连续意义下的稳定性.  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号