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Energy and Carbon-Constrained Production Planning with Parametric Uncertainties

机译：具有参数不确定性的能量和碳限制生产规划

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The intent of this paper is to develop a mathematical model considering uncertainties in aggregate production planning problems. It is being a great advance to consider uncertainty in production planning problems compared to models that do not account for uncertainty which results in poor planning decisions. The paper deals with the planning problems with multiple process routes to satisfy single product demand. Robust optimization is used to target parametric uncertainty to immune the model against it. The objective of the problem is to minimize the overall production cost, capping the total carbon emission and energy consumption. A detailed methodology is presented to develop a robust optimization counterpart handling parametric uncertainties. The model has the ability to control the degree of conservatism for every constraint using budget parameter and guarantees feasibility for the robust optimization problem. The applicability of the model is explained using a case study. The impact of different budget parameters on the objective value is studied, it will assist the planner to prepare the production plan with the known uncertainty level.
机译：本文的意图是考虑到总产规划问题的不确定性的数学模型。考虑生产计划问题的不确定性与不考虑不确定性的规划决策产生不确定性的模型是一个很大的进步。本文涉及多个流程路线的规划问题，以满足单一产品需求。鲁棒优化用于瞄准参数化不确定性以免受模型对抗它。问题的目的是最大限度地减少整体生产成本，加上总碳排放量和能耗。提出了一种详细的方法来开发稳健的优化对应物处理参数不确定性。该模型能够使用预算参数来控制每个约束的保守度，并保证适合鲁棒优化问题的可行性。使用案例研究解释了模型的适用性。研究了不同预算参数对客观价值的影响，它将有助于规划师以已知的不确定性水平准备生产计划。

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