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A bi-objective decision model and method for the integrated optimization of bus line planning and lane reservation

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Abstract

The increasingly serious traffic congestion makes the bus system more and more inefficient. It is recognized all over the world that designing an attractive bus transit network is primordial to alleviate traffic congestion and reduce pollution, but it is a big challenge from an economic and technical point of view. In the literature, dedicated bus lanes are generally set up to improve the efficiency of bus transit network without considering bus line planning. This study investigates a new bi-objective bus line planning and lane reservation integrated optimization problem that is a complex combinatorial optimization problem. The objective is to minimize the total travel time of passengers and the lane reservation negative impact, simultaneously. For the problem, a bi-objective integer linear programming model is first formulated and the problem complexity is proved to be NP-hard. Then, problem properties are explored to reduce search space for optimal solutions, and an iterative and fuzzy method based on \(\varepsilon \)-constraint is proposed to yield the Pareto frontier and suggest a preferred solution for decision-makers. Experimental results on a case study and randomly generated instances demonstrate the effectiveness and efficiency of the proposed model and method.

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Acknowledgements

We acknowledge the support from the National Natural Science Foundation of China under Grants 71701049 and 71871183, the Natural Science Foundation of Fujian Province, China under Grants 2018J05120, the Major Project Funding for Social Science Research Base in Fujian Province Social Science Planning under Grant FJ2018JDZ024, the Cultivation Plan for Outstanding Young Research Talents of Universities in Fujian Province, and the 2020 Tianjin University and Fuzhou University Cooperation Independent Innovation Fund under Grant TF2020-7.

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Authors and Affiliations

  1. School of Economics & Management, Fuzhou University, Fuzhou, 350108, China

    Peng Wu, Ling Xu & Feng Chu

  2. School of Management, Northwestern Polytechnical University, Xi’an, 710072, China

    Ada Che

  3. Univ Evry, University of Paris-Saclay, 91025, Evry, Paris, France

    Feng Chu

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  1. Peng Wu
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  2. Ling Xu
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  4. Feng Chu
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Correspondence to Feng Chu.

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Wu, P., Xu, L., Che, A. et al. A bi-objective decision model and method for the integrated optimization of bus line planning and lane reservation. J Comb Optim 43, 1298–1327 (2022). https://doi.org/10.1007/s10878-020-00647-4

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