QUADRATIC OPTIMIZATION UNDER SEMI-FIBONACCI CONSTRAINT (II)

Q4 Decision Sciences

Journal of the Operations Research Society of Japan Pub Date : 2017-04-20 DOI:10.15807/JORSJ.60.78

Y. Kimura, Seiichi Iwamoto

引用次数: 0

Abstract

It is shown that the Fibonacci sequence is optimal for two quadratic programming problems (maximization and minimization) under semi-Fibonacci constraints. The two conditional (primal) problems have their unconditional (dual) problems. The optimal solution is characterized by the Fibonacci number. Both pairs of primal and dual problems are mutually derived through three methods — dynamic, plus-minus and inequality —.

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半FIBONACCI约束下的二次优化（II）

结果表明，在半斐波那契约束下，斐波那奇序列对于两个二次规划问题（最大化和最小化）是最优的。两个条件（原始）问题都有它们的无条件（对偶）问题。最优解的特征是斐波那契数。原始问题和对偶问题都是通过三种方法相互推导出来的——动态、加减法和不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Operations Research Society of Japan 管理科学-运筹学与管理科学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： The journal publishes original work and quality reviews in the field of operations research and management science to OR practitioners and researchers in two substantive categories: operations research methods; applications and practices of operations research in industry, public sector, and all areas of science and engineering.