原文传递
Weight-dependent Equilibrium Solution for Weighted-Sum Multiobjective Optimization
| 题名： | Weight-dependent Equilibrium Solution for Weighted-Sum Multiobjective Optimization |
| 正文语种： | 中文 |
| 作者： | WU Yang ZHANG Zhiyong YUAN Jianhua MA Qing |
| 作者单位： | Traffic Management Research Institute of Ministry of Public Security, Wuxi ity, hina ollaborative Innovation enter of Modern Urban Traffic Technologies, Nanjing ity, hina |
| 关键词： | Weighted-Sum Multiobjective Optimization Problem (WS-MOP) Adaptive Weight Equilibrium Pareto Optimality |
| 摘要： | As a popular approach to solve Multiobjective Optimization Problem (MOP),weighted-sum (WS) method obtains a series of weight-dependent Pareto Optimalities (i.e.multi-objective global optimums) forming Pateto Front.Each priori (preset) combination of single-objective (SO) weights stands for a certain way to compromise all of SO, e.g.a popular opinion is "Balanced weights lead to the equilibrium solution".To verify this notion, this paper proposes a method to obtain adaptive posteriori weights derived from heuristic search rather than human-judged priori weights, so as to generate an unique Equilibrium Pateto Optimality (Equi-PO) out of the Pareto Front of multiobjective-function (MOFunc), where mutual interest of every single-objective-function (SOFunc) is achieved to a certain "equal" extent.The numerical example reveal that an unique Equi-PO is obtainable with adaptive weights converging towards an unique end, and:(1) For and only for the WS-MOP whose Pareto Front is symmetric to the Equiangular Utopia Ray, "balanced weights" results in "equilibrium solution";(2) For other conditions,"balanced weights" can't. |
| 会议日期： | 201511 |
| 会议举办地点： | 成都 |
| 会议名称： | 2015第二届智能交通国际会议 |
| 出版日期： | 2015-10-31 |
| 母体文献： | 2015第二届智能交通国际会议论文集 |
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