Search-Trajectory Optimization: Part I, Formulation and Theory

被引：12

作者：

Foraker, Joseph ^{[1
]}

Royset, Johannes O. ^{[2
]}

Kaminer, Isaac ^{[2
]}

机构：

[1] US Naval Acad, 572-C Holloway Rd, Annapolis, MD 21402 USA

[2] Naval Postgrad Sch, 1411 Cunningham Rd,700 Dyer Rd, Monterey, CA 93943 USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2016年 / 169卷 / 02期

关键词：

Search theory; Continuous time-and-space search; Consistent approximations; Parameter-distributed optimal control; Force protection; TARGET; MOTION;

D O I：

10.1007/s10957-015-0768-y

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We formulate a search-trajectory optimization problem, with multiple searchers looking for multiple targets in continuous time and space, as a parameter-distributed optimal control model. The problem minimizes the probability that all of the searchers fail to detect any of the targets during a planning horizon. We construct discretization schemes and prove that they lead to consistent approximations in the sense of E. Polak.

引用

页码：530 / 549

页数：20

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