51. Variable neighborhood search-based solution methods for the pollution location-inventory-routing problem
- Author
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Angelo Sifaleras, Michael C. Georgiadis, and Panagiotis Karakostas
- Subjects
Mathematical optimization ,021103 operations research ,Control and Optimization ,Computational complexity theory ,Linear programming ,Estimation theory ,Total cost ,Computer science ,0211 other engineering and technologies ,Holding cost ,Computational intelligence ,010103 numerical & computational mathematics ,02 engineering and technology ,Solver ,01 natural sciences ,0101 mathematics ,Variable neighborhood search - Abstract
This work presents efficient solution approaches for a new complex NP-hard combinatorial optimization problem, the Pollution Location Inventory Routing problem (PLIRP), which considers both economic and environmental issues. A mixed-integer linear programming model is proposed and first, small problem instances are solved using the CPLEX solver. Due to its computational complexity, General Variable Neighborhood Search-based metaheuristic algorithms are developed for the solution of medium and large instances. The proposed approaches are tested on 30 new randomly generated PLIRP instances. Parameter estimation has been performed for determining the most suitable perturbation strength. An extended numerical analysis illustrates the effectiveness and efficiency of the underlying methods, leading to high-quality solutions with limited computational effort. Furthermore, the impact of holding cost variations to the total cost is studied.
- Published
- 2020
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