Transportation infrastructure network design in the presence of modal competition: computational complexity classification and a genetic algorithm

Federico Perea (), Mozart B. C. Menezes (), Juan A. Mesa () and Fernando Rubio-Del-Rey ()
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Federico Perea: Universitat Politècnica de València
Mozart B. C. Menezes: NEOMA Business School
Juan A. Mesa: Universidad de Sevilla
Fernando Rubio-Del-Rey: Universitat Politècnica de València

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2020, vol. 28, issue 2, No 9, 442-474

Abstract: Abstract In this paper we analyze the computational complexity of transportation infrastructure network design problems, in the presence of a competing transportation mode. Some of these problems have previously been introduced in the literature. All problems studied have a common objective: the maximization of the number of travelers using the new network to be built. The differences between them are due to two factors. The first one is the constraints that the new network should satisfy: (1) budget constraint, (2) no-cycle constraint, (3) both constraints. The second factor is the topology of the network formed by the feasible links and stations: (1) a general network, (2) a forest. By combining these two factors, in total we analyze six problems, five of them are shown to be NP-hard, the sixth being trivial. Due to the NP-hardness of these problems, a genetic algorithm is proposed. Computational experiments show the applicability of this algorithm.

Keywords: Networks/graphs; Transportation; Computational complexity; Genetic algorithms; 90B06 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s11750-019-00537-x

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