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Showing 2 results for Vehicle Routing Problem With Time Windows

Hadi Karimi, Abbas Seifi,
Volume 23, Issue 4 (11-2012)
Abstract

The analytic center cutting plane method (ACCPM) is one of successful methods to solve nondifferentiable optimization problems. In this paper ACCPM is used for the first time in the vehicle routing problem with time windows (VRPTW) to accelerate lagrangian relaxation procedure for the problem. At first the basic cutting plane algorithm and its relationship with column generation method is clarified then the new method based on ACCPM is proposed as a stabilization technique of column generation (lagrangian relaxation). Both approaches are tested on a benchmark instance to demonstrate the advantages of proposed method in terms of computational time and lower bounds quality.
Aizi Mouna, Bouyaya Linda, Bouguern Siham,
Volume 37, Issue 1 (3-2026)
Abstract

This study applies a Genetic Algorithm (GA) to optimize the Vehicle Routing Problem with Time Windows (VRPTW) for NAFTAL, Algeria’s national fuel distribution company. The model minimizes both fleet size and total travel distance while achieving high compliance (99.3%) with customer time constraints. Using operational data from the Constantine regional network one depot serving 148 service stations (149  nodes in total ), the GA achieved optimal solutions deploying 94 vehicles covering 15,415.63 km. Results demonstrated exceptional convergence stability (σ = 0.00 across 40 runs) and high computational efficiency (under 60 seconds per optimization run). Sensitivity analyses confirmed the robustness of the calibrated configuration, highlighting its reliability and scalability for real-world logistics. The proposed framework provides NAFTAL with a cost-effective, consistent, and practical decision-support tool for optimizing fuel-delivery operations. Future research will focus on integrating machine learning for demand prediction, extending the model to multi-product and heterogeneous-fleet routing, and enabling adaptive real-time optimization to support smart and sustainable logistics.


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