Multi-Static Radar System Deployment Within a Non-Connected Region Utilising Particle Swarm Optimization

This paper is mainly devoted to studying the deployment problem of a multi-static radar system (MSRS) within a non-connected deployment region using multi-objective particle swarm optimization (MOPSO). By modeling and reformulating the problem, it can be represented as a multi-objective mixed intege...

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Main Authors: Yi Han, Xueting Li, Tianxian Zhang, Xiaobo Yang
Format: Article
Language:English
Published: MDPI AG 2024-10-01
Series:Remote Sensing
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Online Access:https://www.mdpi.com/2072-4292/16/21/4004
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author Yi Han
Xueting Li
Tianxian Zhang
Xiaobo Yang
author_facet Yi Han
Xueting Li
Tianxian Zhang
Xiaobo Yang
author_sort Yi Han
collection DOAJ
description This paper is mainly devoted to studying the deployment problem of a multi-static radar system (MSRS) within a non-connected deployment region using multi-objective particle swarm optimization (MOPSO). By modeling and reformulating the problem, it can be represented as a multi-objective mixed integer programming (MOMIP), which eliminates the need for additional constraints. To enhance the algorithm performance, integer variables and continuous ones are treated separately employing multiple velocity formulas. The velocity formulas for integer variables are modified using the sigmoid function and genetic operation, leading to the proposal of two MSRS deployment algorithms, namely MOPSO-Sigmoid and MOPSO-Gene. To evaluate the performance of the proposed algorithms, they are compared with two existing MOPSO-based algorithms. The first algorithm is the MSRS deployment algorithm for the non-connected deployment region that addresses the additional constraint problem model. The second algorithm is based on an existing conventional MOPSO algorithm and addresses the equivalent MOMIP problem model. A numerical study demonstrates that MOPSO-Sigmoid and MOPSO-Gene exhibit promising efficiency and effectiveness.
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issn 2072-4292
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spelling doaj-art-3ceddc93cf9d4eba81bc3c236daf66ca2025-08-20T02:49:49ZengMDPI AGRemote Sensing2072-42922024-10-011621400410.3390/rs16214004Multi-Static Radar System Deployment Within a Non-Connected Region Utilising Particle Swarm OptimizationYi Han0Xueting Li1Tianxian Zhang2Xiaobo Yang3School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Aeronautics and Astronautics, Sichuan University, Chengdu 610065, ChinaSchool of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaThis paper is mainly devoted to studying the deployment problem of a multi-static radar system (MSRS) within a non-connected deployment region using multi-objective particle swarm optimization (MOPSO). By modeling and reformulating the problem, it can be represented as a multi-objective mixed integer programming (MOMIP), which eliminates the need for additional constraints. To enhance the algorithm performance, integer variables and continuous ones are treated separately employing multiple velocity formulas. The velocity formulas for integer variables are modified using the sigmoid function and genetic operation, leading to the proposal of two MSRS deployment algorithms, namely MOPSO-Sigmoid and MOPSO-Gene. To evaluate the performance of the proposed algorithms, they are compared with two existing MOPSO-based algorithms. The first algorithm is the MSRS deployment algorithm for the non-connected deployment region that addresses the additional constraint problem model. The second algorithm is based on an existing conventional MOPSO algorithm and addresses the equivalent MOMIP problem model. A numerical study demonstrates that MOPSO-Sigmoid and MOPSO-Gene exhibit promising efficiency and effectiveness.https://www.mdpi.com/2072-4292/16/21/4004multi-static radar system (MSRS) deploymentnon-connected deployment regionmulti-objective particle swarm optimization (MOPSO)multi-objective segmented decision variable problem (MOSDVP)multi-objective mixed integer programming (MOMIP)multiple velocity formula
spellingShingle Yi Han
Xueting Li
Tianxian Zhang
Xiaobo Yang
Multi-Static Radar System Deployment Within a Non-Connected Region Utilising Particle Swarm Optimization
Remote Sensing
multi-static radar system (MSRS) deployment
non-connected deployment region
multi-objective particle swarm optimization (MOPSO)
multi-objective segmented decision variable problem (MOSDVP)
multi-objective mixed integer programming (MOMIP)
multiple velocity formula
title Multi-Static Radar System Deployment Within a Non-Connected Region Utilising Particle Swarm Optimization
title_full Multi-Static Radar System Deployment Within a Non-Connected Region Utilising Particle Swarm Optimization
title_fullStr Multi-Static Radar System Deployment Within a Non-Connected Region Utilising Particle Swarm Optimization
title_full_unstemmed Multi-Static Radar System Deployment Within a Non-Connected Region Utilising Particle Swarm Optimization
title_short Multi-Static Radar System Deployment Within a Non-Connected Region Utilising Particle Swarm Optimization
title_sort multi static radar system deployment within a non connected region utilising particle swarm optimization
topic multi-static radar system (MSRS) deployment
non-connected deployment region
multi-objective particle swarm optimization (MOPSO)
multi-objective segmented decision variable problem (MOSDVP)
multi-objective mixed integer programming (MOMIP)
multiple velocity formula
url https://www.mdpi.com/2072-4292/16/21/4004
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AT xuetingli multistaticradarsystemdeploymentwithinanonconnectedregionutilisingparticleswarmoptimization
AT tianxianzhang multistaticradarsystemdeploymentwithinanonconnectedregionutilisingparticleswarmoptimization
AT xiaoboyang multistaticradarsystemdeploymentwithinanonconnectedregionutilisingparticleswarmoptimization