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    This study introduces a robust two-phase method for dynamic multi-objective vehicle routing problems, incorporating fuel consumption. It efficiently handles dynamic customers, avoiding time-consuming global re-optimization.

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    Area of Science:

    • Operations Research
    • Transportation Science
    • Environmental Engineering

    Background:

    • Traditional vehicle routing problems often overlook fuel consumption and dynamic customer demands.
    • Existing methods for dynamic routing can be computationally expensive due to frequent re-optimization.

    Purpose of the Study:

    • To develop a robust, two-phase method for dynamic multi-objective vehicle routing problems.
    • To incorporate fuel consumption and carbon emissions as key optimization objectives.
    • To reduce computational time by minimizing global re-optimization for dynamic customer arrivals.

    Main Methods:

    • A novel two-phase approach for dynamic multi-objective vehicle routing problems.
    • Phase 1: Multi-objective particle swarm optimization to find robust virtual routes.
    • Phase 2: Formation of static routes and dynamic customer integration with limited re-optimization.

    Main Results:

    • The proposed method yields routes with improved stability and robustness.
    • Significant reduction in computational time by avoiding global re-optimization for dynamic customers.
    • Carbon emissions and fuel consumption are effectively integrated as optimization objectives.

    Conclusions:

    • The robust two-phase method offers a more efficient and environmentally conscious solution for dynamic vehicle routing.
    • The approach balances route optimality with computational efficiency in dynamic environments.
    • This method provides a valuable alternative for logistics operations facing unpredictable demands and environmental concerns.