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A production planning model considering uncertain demand using two-stage stochastic programming in a fresh vegetable
Jordi Mateo1, Lluis M Pla2, Francesc Solsona1
1Computer Science Department and INSPIRES, University of Lleida, Jaume II 69, 25001 Lleida, Spain.
This study introduces a two-stage stochastic model for selecting farms to supply fresh vegetables, minimizing costs and meeting demand. The model ensures high-quality products and efficient farm-to-table times, offering competitive advantages for the fresh vegetable industry.
Area of Science:
- Operations Research
- Supply Chain Management
- Agricultural Economics
Background:
- Production planning models are increasingly relevant in the agricultural sector.
- Fresh vegetable supply chains face challenges in selecting suppliers to meet demand and quality standards.
- Minimizing procurement costs and farm-to-table time are critical for fresh produce.
Purpose of the Study:
- To develop a two-stage stochastic location model for selecting farms for seasonal contracts.
- To minimize overall procurement costs while ensuring future demand is met.
- To optimize the selection of suppliers for high-quality, fresh vegetables with minimal transit time.
Main Methods:
- Formulation of a two-stage stochastic location model.
- Application of Lagrangian relaxation and parallel computing algorithms for efficient problem-solving.
- Comparison of proposed algorithms against standard solvers like CPLEX.
Main Results:
- The proposed algorithms demonstrate significant computational gains compared to the CPLEX solver.
- The model effectively determines optimal farm selections for seasonal contracts.
- Validation of the model's ability to minimize costs and meet demand.
Conclusions:
- The developed model provides a competitive advantage for purchase managers in the fresh vegetable industry.
- Efficient algorithms ensure practical application of the model for large-scale instances.
- The model contributes to optimizing fresh vegetable supply chain operations.
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