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A novel hybrid PSO-based metaheuristic for costly portfolio selection problems

Marco Corazza (), Giacomo di Tollo (), Giovanni Fasano () and Raffaele Pesenti ()
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Giacomo di Tollo: Università Ca’ Foscari, Venezia
Giovanni Fasano: Ca’ Foscari University of Venice
Raffaele Pesenti: Ca’ Foscari University of Venice

Annals of Operations Research, 2021, vol. 304, issue 1, No 5, 109-137

Abstract: Abstract In this paper we propose a hybrid metaheuristic based on Particle Swarm Optimization, which we tailor on a portfolio selection problem. To motivate and apply our hybrid metaheuristic, we reformulate the portfolio selection problem as an unconstrained problem, by means of penalty functions in the framework of the exact penalty methods. Our metaheuristic is hybrid as it adaptively updates the penalty parameters of the unconstrained model during the optimization process. In addition, it iteratively refines its solutions to reduce possible infeasibilities. We report also a numerical case study. Our hybrid metaheuristic appears to perform better than the corresponding Particle Swarm Optimization solver with constant penalty parameters. It performs similarly to two corresponding Particle Swarm Optimization solvers with penalty parameters respectively determined by a REVAC-based tuning procedure and an irace-based one, but on average it just needs less than 4% of the computational time requested by the latter procedures.

Keywords: Hybrid metaheuristics; Particle Swarm Optimization; Global optimization; Portfolio selection problems; Exact penalty functions; REVAC; irace (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s10479-021-04075-3

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