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\iteman{io-port 05987936}
\itemau{Lin, Aura Juan Carlos Dung-Ying; Xie, Chi}
\itemti{The Pareto-optimal solution set of the equilibrium network design problem with multiple commensurate objectives.}
\itemso{Netw. Spat. Econ. 11, No. 4, 727-751 (2011).}
\itemab
Summary: The focus of this paper is to develop a solution framework to study equilibrium transportation network design problems with multiple objectives that are mutually commensurate. Objective parameterization, or scalarization, forms the core idea of this solution approach, by which a multi-objective problem can be equivalently addressed by tackling a series of single-objective problems. In particular, we develop a parameterization-based heuristic that resembles an iterative divide-and-conquer strategy to locate a Pareto-optimal solution in each divided range of commensurate parameters. Unlike its previous counterparts, the heuristic is capable of asymptotically exhausting the complete Pareto-optimal solution set and identifying parameter ranges that exclude any Pareto-optimal solution. Its algorithmic effectiveness and solution characteristics are justified by a set of numerical examples, from which we also gain additional insights about its solution generation behavior and the tradeoff between the computation cost and solution quality.
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\itemut{Multi-objective optimization; Commensurate objectives; Pareto-optimal solution set; Equilibrium network design problems; Parametric method}
\itemli{doi:10.1007/s11067-010-9146-3}
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