Generalized Firefly Algorithm for optimal transmit beamforming

Article

Le, T. and Yang, X. 2024. Generalized Firefly Algorithm for optimal transmit beamforming. IEEE Transactions on Wireless Communications. 23 (6), pp. 5863-5877. https://doi.org/10.1109/TWC.2023.3328713
TypeArticle
TitleGeneralized Firefly Algorithm for optimal transmit beamforming
AuthorsLe, T. and Yang, X.
Abstract

This paper proposes a generalized Firefly Algorithm (FA) to solve an optimization framework having objective function and constraints as multivariate functions of independent optimization variables. Four representative examples of how the proposed generalized FA can be adopted to solve downlink beamforming problems are shown for a classic transmit beamforming, cognitive beamforming, reconfigurable-intelligent-surfaces-aided (RIS-aided) transmit beamforming, and RIS-aided wireless power transfer (WPT). Complexity analyzes indicate that in large-antenna regimes the proposed FA approaches require less computational complexity than their corresponding interior point methods (IPMs) do, yet demand a higher complexity than the iterative and the successive convex approximation (SCA) approaches do. Simulation results reveal that the proposed FA attains the same global optimal solution as that of the IPM for an optimization problem in cognitive beamforming. On the other hand, the proposed FA approaches outperform the iterative, IPM and SCA in terms of obtaining better solution for optimization problems, respectively, for a classic transmit beamforming, RIS-aided transmit beamforming and RIS-aided WPT.

KeywordsArray signal processing; Optimization; Signal to noise ratio; Iterative methods; Interference; Brightness; Statistics; Firefly algorithm; nature-inspired optimization; transmit beamforming; reconfigurable intelligent surfaces
Sustainable Development Goals9 Industry, innovation and infrastructure
Middlesex University ThemeCreativity, Culture & Enterprise
PublisherIEEE
JournalIEEE Transactions on Wireless Communications
ISSN1536-1276
Electronic1558-2248
Publication dates
Online07 Nov 2023
PrintJun 2024
Publication process dates
Submitted17 Nov 2022
Accepted19 Oct 2023
Deposited31 Oct 2023
Output statusPublished
Accepted author manuscript
File Access Level
Open
Copyright Statement

© 2023 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

Digital Object Identifier (DOI)https://doi.org/10.1109/TWC.2023.3328713
Web of Science identifierWOS:001247163400083
LanguageEnglish
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A novel approach for multispectral satellite image classification based on the bat algorithm
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Mathematical analysis of energy efficiency optimality in multi-user OFDM systems
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An improved discrete bat algorithm for symmetric and asymmetric traveling salesman problems
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Chance constrained robust downlink beamforming in multicell networks
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Navigability analysis of magnetic map with projecting pursuit-based selection method by using firefly algorithm
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Cooperative cognitive radio beamforming in the presence of location errors
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Cooperative multicell processing techniques for energy-efficient cellular wireless communications
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Interference management in cooperative multi-cell networks
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Binary flower pollination algorithm and its application to feature selection
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Computational intelligence and metaheuristic algorithms with applications
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Discrete Cuckoo search applied to job shop scheduling problem
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Swarm intelligence and evolutionary computation: overview and analysis
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Adaptation and hybridization in nature-inspired algorithms
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Solutions of non-smooth economic dispatch problems by swarm intelligence
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A short discussion about economic optimization design of shell-and-tube heat exchangers by a cuckoo-search-algorithm
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Feature selection in life science classification: metaheuristic swarm search
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Diversity and mechanisms in swarm intelligence
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Swarm intelligence based algorithms: a critical analysis
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Planning the sports training sessions with the bat algorithm
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An energy-efficient resource allocation for optimal downlink coverage in heterogeneous wireless cellular networks
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A short discussion about "Economic optimization design of shell-and-tube heat exchangers by a cuckoo-search-algorithm"
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Bio-inspired exploring and recruiting tasks in a team of distributed robots over mined regions
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Modified bat algorithm with quaternion representation
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A heuristic optimization method inspired by wolf preying behavior
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Sizing optimization of truss structures using flower pollination algorithm
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Color image segmentation by cuckoo search
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Random-key cuckoo search for the travelling salesman problem
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A robust transmission strategy for multi-cell interference networks
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Secure information transmission and power transfer in cellular networks
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A biologically inspired network design model
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Symbol timing offset mitigation in OFDMA-based CoMP utilizing position aware transmission
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On the interference tolerance of the primary system in cognitive radio networks
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Optimum design of frame structures using the eagle strategy with differential evolution
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Analysis of randomisation methods in swarm intelligence
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Analysis of quality-of-service aware orthogonal frequency division multiple access system considering energy efficiency
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A novel improved accelerated particle swarm optimization algorithm for global numerical optimization
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Oil supply between OPEC and non-OPEC based on game theory
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Advances of swarm intelligent systems in gene expression data classification
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Bat algorithm is better than intermittent search strategy
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Downlink beamforming design for cognitive cellular systems
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Downlink beamforming in underlay cognitive cellular networks
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Fundamental performance trade-offs in coexisting wireless networks
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Nature-inspired optimization algorithms
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Non-dominated sorting cuckoo search for multiobjective optimization
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Computational optimization, modelling and simulation: past, present and future
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Discrete cuckoo search algorithm for job shop scheduling problem
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Nature-inspired framework for hyperspectral band selection
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A discrete firefly algorithm for the multi-objective hybrid flowshop scheduling problems
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Binary bat algorithm
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Bat algorithm based on simulated annealing and Gaussian perturbations
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Discrete cuckoo search algorithm for the travelling salesman problem
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Cuckoo search: recent advances and applications
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Chaotic bat algorithm
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Mathematical modelling and parameter optimization of pulsating heat pipes
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An empirical study of test effort estimation based on bat algorithm
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Bio-inspired computation: success and challenges of IJBIC
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A wrapper approach for feature selection based on Bat Algorithm and Optimum-Path Forest
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Improved cuckoo search algorithm for hybrid flow shop scheduling problems to minimize makespan
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A bio-inspired algorithm for identification of critical components in the transportation networks
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A firefly-inspired method for protein structure prediction in lattice models
Maher, B., Albrecht, A., Loomes, M., Yang, X. and Steinhofel, K. 2014. A firefly-inspired method for protein structure prediction in lattice models. Biomolecules. 4 (1), pp. 56-75. https://doi.org/10.3390/biom4010056
True global optimality of the pressure vessel design problem: a benchmark for bio-inspired optimisation algorithms
Yang, X., Huyck, C., Karamanoglu, M. and Khan, N. 2013. True global optimality of the pressure vessel design problem: a benchmark for bio-inspired optimisation algorithms. International Journal of Bio-Inspired Computation. 5 (6), pp. 329-335. https://doi.org/10.1504/IJBIC.2013.058910
Applications and analysis of bio-inspired eagle strategy for engineering optimization
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Flower pollination algorithm: a novel approach for multiobjective optimization
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Random walks, Lévy flights, Markov chains and metaheuristic optimization
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Are motorways rational from slime mould's point of view?
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Advances in simulation-driven optimization and modelling
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Metaheuristic algorithms for self-organizing systems: a tutorial
Yang, X. 2012. Metaheuristic algorithms for self-organizing systems: a tutorial. in: Self-Adaptive and Self-Organizing Systems (SASO), 2012 IEEE Sixth International Conference on IEEE Conference Publications. pp. 249 -250
Integrating nature-inspired optimization algorithms to K-means clustering
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Wolf search algorithm with ephemeral memory
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Metaheuristic applications in structures and infrastructures
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A power-efficient coverage scheme for cell-edge users using cognitive beamforming
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Robust and power efficient interference management in downlink multi-cell networks
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Robust cognitive beamforming for cell-edge coverage in multicell networks with probabilistic constraints
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Downlink optimization with interference pricing and statistical CSI
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Multi-objective flower algorithm for optimization
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Optimal test sequence generation using firefly algorithm
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Multiobjective firefly algorithm for continuous optimization
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Cuckoo search algorithm: a metaheuristic approach to solve structural optimization problems
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Multiobjective cuckoo search for design optimization
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Flower pollination algorithm for global optimization
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Parameter estimation from laser flash experiment data
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Benchmark problems in structural optimization
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Computational optimization: an overview
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Engineering optimisation by cuckoo search
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Engineering optimization: an introduction with metaheuristic applications
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Metaheuristics in water, geotechnical and transport engineering
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Coordinated beamforming using semidefinite programming
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A decentralized downlink beamforming algorithm for multicell processing
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Bat algorithm for topology optimization in microelectronic applications
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Rare events forecasting using a residual-feedback GMDH neural network
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Cuckoo search for business optimization applications
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Bat algorithm for constrained optimization tasks
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Efficiency analysis of swarm intelligence and randomization techniques
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Modelling of a pulsating heat pipe and start up asymptotics
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Computational optimization, modelling and simulation: smart algorithms and better models
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Free lunch or no free lunch: that is not just a question?
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Coupled eagle strategy and differential evolution for unconstrained and constrained global optimization
Gandomi, A., Yang, X., Talatahari, S. and Deb, S. 2012. Coupled eagle strategy and differential evolution for unconstrained and constrained global optimization. Computers and Mathematics with Applications. 63 (1), pp. 191-200. https://doi.org/10.1016/j.camwa.2011.11.010
Bat algorithm: a novel approach for global engineering optimization
Yang, X. and Gandomi, A. 2012. Bat algorithm: a novel approach for global engineering optimization. Engineering Computations. 29 (5), pp. 464-483. https://doi.org/10.1108/02644401211235834
Evolutionary boundary constraint handling scheme
Gandomi, A. and Yang, X. 2012. Evolutionary boundary constraint handling scheme. Neural Computing and Applications. 21 (6), pp. 1449-1462. https://doi.org/10.1007/s00521-012-1069-0
Two-stage eagle strategy with differential evolution
Yang, X. and Deb, S. 2012. Two-stage eagle strategy with differential evolution. International Journal of Bio-Inspired Computation. 4 (1), pp. 1-5. https://doi.org/10.1504/IJBIC.2012.044932
Firefly Algorithm for solving non-convex economic dispatch problems with valve loading effect
Yang, X., Hosseini, S. and Gandomi, A. 2012. Firefly Algorithm for solving non-convex economic dispatch problems with valve loading effect. Applied Soft Computing. 12 (3), pp. 1180-1186. https://doi.org/10.1016/j.asoc.2011.09.017
User position aware multicell beamforming for a distributed antenna system
Le, T. and Nakhai, M. 2011. User position aware multicell beamforming for a distributed antenna system. IEEE 22nd International Symposium on Personal, Indoor and Mobile Radio Communications. Toronto, ON, Canada 11 - 14 Sep 2011 IEEE. pp. 1423-1427 https://doi.org/10.1109/PIMRC.2011.6139736
An iterative algorithm for downlink multi-cell beam-forming
Le, T. and Nakhai, M. 2011. An iterative algorithm for downlink multi-cell beam-forming. 2011 IEEE Global Telecommunications Conference. Houston, TX, USA 05 - 09 Dec 2011 IEEE. pp. 1-6 https://doi.org/10.1109/GLOCOM.2011.6133913
Throughput analysis of network coding enabled wireless backhauls
Le, T. and Nakhai, M. 2011. Throughput analysis of network coding enabled wireless backhauls. IET Communications. 5 (10), pp. 1318-1327. https://doi.org/10.1049/iet-com.2010.0223
Green radio: radio techniques to enable energy-efficient wireless networks
Han, C., Harrold, T., Armour, S., Krikidis, I., Videv, S., Grant, P., Haas, H., Thompson, J., Ku, I., Wang, C., Le, T., Nakhai, M., Zhang, J. and Hanzo, L. 2011. Green radio: radio techniques to enable energy-efficient wireless networks. IEEE Communications Magazine. 49 (6), pp. 46-54. https://doi.org/10.1109/MCOM.2011.5783984
Power-efficient downlink transmission in multicell networks with limited wireless backhaul
Le, T., Nasseri, S., Zarrebini-Esfahani, A., Nakhai, M. and Mills, A. 2011. Power-efficient downlink transmission in multicell networks with limited wireless backhaul. IEEE Wireless Communications. 18 (5), pp. 82-88. https://doi.org/10.1109/MWC.2011.6056696
Accelerated particle swarm optimization and support vector machine for business optimization and applications
Yang, X., Deb, S. and Fong, S. 2011. Accelerated particle swarm optimization and support vector machine for business optimization and applications. Fong, S. (ed.) NDT 2011: International Conference on Networked Digital Technologies. Macau, China 11 - 13 Jul 2011 Springer. pp. 53-66 https://doi.org/10.1007/978-3-642-22185-9_6
Bat algorithm for multi-objective optimisation
Yang, X. 2011. Bat algorithm for multi-objective optimisation. International Journal of Bio-Inspired Computation. 3 (5), pp. 267-274. https://doi.org/10.1504/IJBIC.2011.042259
Mixed variable structural optimization using Firefly Algorithm
Gandomi, A., Yang, X. and Alavi, A. 2011. Mixed variable structural optimization using Firefly Algorithm. Computers and Structures. 89 (23-24), pp. 2325-2336. https://doi.org/10.1016/j.compstruc.2011.08.002
Possible power-saving gains by dividing a cell into tiers of smaller cells
Le, T. and Nakhai, M. 2010. Possible power-saving gains by dividing a cell into tiers of smaller cells. Electronics Letters. 46 (16), pp. 1163-1165. https://doi.org/10.1049/el.2010.1509
A new metaheuristic bat-inspired algorithm
Yang, X. 2010. A new metaheuristic bat-inspired algorithm. in: González, J., Pelta, D., Cruz, C., Terrazas, G. and Krasnogor, N. (ed.) Nature Inspired Cooperative Strategies for Optimization (NISCO 2010) Berlin Springer.
Eagle strategy using Lévy walk and firefly algorithm for stochastic optimization
Yang, X. and Deb, S. 2010. Eagle strategy using Lévy walk and firefly algorithm for stochastic optimization. in: González, J., Pelta, D, Cruz, C., Terrazas, G. and Krasnogor, N. (ed.) Nature Inspired Cooperative Strategies for Optimization (NICSO 2010) Springer. pp. 101-111
Optimization and data mining for fracture prediction in geosciences
Shi, G. and Yang, X. 2010. Optimization and data mining for fracture prediction in geosciences. Procedia Computer Science. 1 (1), pp. 1359-1366. https://doi.org/10.1016/j.procs.2010.04.151
Firefly algorithm, stochastic test functions and design optimisation
Yang, X. 2010. Firefly algorithm, stochastic test functions and design optimisation. International Journal of Bio-Inspired Computation. 2 (2), pp. 78-84. https://doi.org/10.1504/IJBIC.2010.032124
Oil and gas assessment of the Kuqa depression of Tarim Basin in western China by simple fluid flow models of primary and secondary migrations of hydrocarbons
Shi, G., Zhang, Q., Yang, X. and Mi, S. 2010. Oil and gas assessment of the Kuqa depression of Tarim Basin in western China by simple fluid flow models of primary and secondary migrations of hydrocarbons. Journal of Petroleum Science and Engineering. 75 (1-2), pp. 77-90. https://doi.org/10.1016/j.petrol.2010.10.009
Firefly algorithms for multimodal optimization
Yang, X. 2009. Firefly algorithms for multimodal optimization. in: Stochastic Algorithms: Foundations and Applications; 5th International Symposium, SAGA 2009, Sapporo, Japan, October 26-28, 2009. Proceedings Springer.
Cuckoo search via Lévy flights
Yang, X. and Deb, S. 2009. Cuckoo search via Lévy flights. in: World Congress on Nature & Biologically Inspired Computing (NaBIC 2009) IEEE Publications. pp. 210-214