دانلود رایگان مقاله یک استراتژی یکپارچه برای برنامه ریزی تولید و مشکل طرح انبار: مدل سازی و راه حل

abstract

We study a real-world production warehousing case, where the company always faces the challenge to find available space for its products and to manage the items in the warehouse. To resolve the problem, an integrated strategy that combines warehouse layout with the capacitated lot-sizing problem is presented, which have been traditionally treated separately in the existing literature. We develop a mixed integer linear programming model to formulate the integrated optimization problem with the objective of minimizing the total cost of production and warehouse operations. The problem with real data is a large-scale instance that is beyond the capability of optimization solvers. A novel Lagrangian relax-and-fix heuristic approach and its variants are proposed to solve the large-scale problem. The preliminary numerical results from the heuristic approaches are reported.

9 Conclusions

In this paper, we propose an integrated strategy to combine a storage location assignment problem with a capacitated lot-sizing planning, which is motivated by a real-world case. The joint multi-item storage location assignment capacitated lot-sizing problem determines when and how much to produce for each product, and simultaneously determines where to place the productsin the warehouse based on a dedicated storage policy. A mixed integer linear programming model is developed with the objective of minimizing the total costs of production, setup, storage, handling, and reserving space. It also ensuresthe availability of warehouse space in the planning horizon. The model and solution approaches are verified though different size of instances.