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91.
It is shown that finding a solution to a linear vector optimization problem which is efficient with respect to the constraints as well as to the objectives is equivalent to solving a single linear program.The research of this author was supported by NSF Grant DCR74-20584.The research of this author was partially supported by Canada Council Grant W760467. 相似文献
92.
The network flow theory and algorithms have been developed on the assumption that each arc flow is controllable and we freely raise and reduce it. We however consider in this paper the situation where we are not able or allowed to reduce the given arc flow. Then we may end up with a maximal flow depending on the initial flow as well as the way of augmentation. Therefore the minimum of the flow values that are attained by maximal flows will play an important role to see how inefficiently the network can be utilized. We formulate this problem as an optimization over the efficient set of a multicriteria program, propose an algorithm, prove its finite convergence, and report on some computational experiments. 相似文献
93.
Michael A. Henning Nader Jafari Rad Joanna Raczek 《Discrete Applied Mathematics》2011,159(14):1443-1446
In this note we prove a conjecture and improve some results presented in a recent paper of Sridharan et al. [N. Sridharan, M.D. Elias, V.S.A. Subramanian, Total reinforcement number of a graph, AKCE Int. J. Graphs Comb. 4 (2) (2007) 197-202]. 相似文献
94.
多目标锥—广义凸规划有效解的充要条件 总被引:2,自引:0,他引:2
本文提出了n维欧氏空间上的锥-凸、锥-伪凸、锥-拟凸向量值函数的概念,讨论了它们之间的关系,并在此基础上,对多目标数学规划问题关于凸锥∧有效解,撇开约束品性,讨论了它的充分必要条件。 相似文献
95.
Mohamed Hachimi 《Journal of Mathematical Analysis and Applications》2004,296(2):382-392
In this paper, new classes of generalized (F,α,ρ,d)-type I functions are introduced for differentiable multiobjective programming. Based upon these generalized functions, first, we obtain several sufficient optimality conditions for feasible solution to be an efficient or weak efficient solution. Second, we prove weak and strong duality theorems for mixed type duality. 相似文献
96.
FU WANTAO 《数学年刊B辑(英文版)》1994,(2)
ONTHETHEOREMOFARROW-BARANKIN-BLACKWELLFORWEAKIYCOMPACTCONVEXSET¥FUWANTAOAbstract:ThispaperstudiestheknowndensitytheoremofArro... 相似文献
97.
Fu Wantao 《数学年刊B辑(英文版)》1994,15(2):173-180
This papeer studies the known density theorem of Arrow-Barankin-Blackwell. The following main result is obtained: If X is a Hausdorff locally convex Topological space and C belong to X is a closed convex cone with bounded base, then for every nonempty weakly compact convex subset A, the set of positive proper efficient points of A is dense in the set of efficient points of A. 相似文献
98.
99.
选矿效益对矿管理有着重要意义。影响选矿效益的因素之间存在严重的多重共线性,采用PLS方法建立了选矿效益的偏最小二乘回归模型,避免了普通多元回归模型的不合理性和岭回归模型选择岭参数的主观性。 相似文献
100.
The notion of universally decodable matrices (UDMs) was recently introduced by Tavildar and Viswanath while studying slow-fading channels. It turns out that the problem of constructing UDMs is tightly connected to the problem of constructing maximum-distance separable codes. In this paper, we first study the properties of UDMs in general and then we discuss an explicit construction of a class of UDMs, a construction which can be seen as an extension of Reed–Solomon codes. In fact, we show that this extension is, in a sense to be made more precise later on, unique. Moreover, the structure of this class of UDMs allows us to answer some open conjectures by Tavildar, Viswanath, and Doshi in the positive, and it also allows us to formulate an efficient decoding algorithm for this class of UDMs. It turns out that our construction yields a coding scheme that is essentially equivalent to a class of codes that was proposed by Rosenbloom and Tsfasman. Moreover, we point out connections to so-called repeated-root cyclic codes. 相似文献