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Production planning in the uncertainty conditions is one of the inherent characteristics of manufacturing environments. In this paper, a new multi-product multi-stage production planning model is presented. The demand and delivery time are considered to be uncertain. In order to deal with non-deterministic parameters and reduce their impact on optimal solution, a robust optimization model with a description of the scenario of uncertainty data has been used. The objective is to minimize the cost over the planning horizon. To solve the proposed model, The Branch and Bound (B&B) method is used by using Lingo software.

A Robust Optimization Model for Multi-Product Production Planning in Terms of Uncertainty of Demand and Delivery Time