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Cities are expanding rapidly, but traffic jams and pollution keep rising. Researchers have created a theoretical model that blends carpooling, electric scooters, shared bikes, and other micromobility options into multi‑leg routes that adapt to changing conditions like rush‑hour congestion, bad weather, or accidents.

The key lies in an optimization algorithm that uses four adjustable weights (λ1‑λ4) to balance travel time, cost, emissions, and user satisfaction. Tested on 40‑node networks with synthetic data calibrated to real‑world trends, the model cut travel times by up to 25% and peak‑hour emissions by 30%, while keeping computation times under a second.

For urban planners, this approach offers a flexible platform: they can prioritize speed during emergencies or lower emissions on heavily polluted days. Integrating multiple transport modes also maximizes existing resources, avoiding costly new infrastructure.

In short, a model that treats a journey as a dynamic puzzle, where each piece – shared car, bike, scooter – fits the context, promises faster, cleaner, and happier cities.

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The proposed model relies on a mixed‑integer linear programming (MILP) formulation that incorporates binary variables for selecting travel segments and continuous variables for travel times. Weights λ1‑λ4 are normalized to ensure that units (minutes, euros, grams of CO₂, satisfaction scores) are comparable within the objective function.

To handle dynamic variability, the framework employs stochastic scenarios generated from probability distributions based on historical traffic data, weather conditions, and accident frequencies. Each scenario yields a cost matrix for time and emissions, which the algorithm solves in real time using Benders decomposition and high‑efficiency linear solvers.

Carpooling integration is modeled through user groups with compatible time windows and route profiles, optimized via hierarchical clustering. Micromobility is treated as an on‑demand service with activation and parking costs varying with urban density.

Experimental results indicate that, compared to a monomodal model based solely on private cars, the hybrid system reduces average travel time by 12‑25% depending on congestion levels, and CO₂ emissions by 15‑30% during peak hours. Moreover, the flexibility of the weights allows simulation of policy incentives, such as reduced fares for carpooling or subsidies for electric scooters, providing decision‑makers with a robust tool for sustainable mobility planning.

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Authors:
Gerald B. Imbugwa
Date Published:
Original Article www.mdpi.com
Fact-check verified on 08/04/2026
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Creative Commons License CC BY-NC-SA 4.0

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