This research addresses the integrated lot-sizing and scheduling problem with complex setup structure in which the required raw materials are hazardous and the inherent risk of hazardous materials (HAZMATs) in case of incidents leads to disruptions and dangerous consequences for the environment and human beings. This paper proposes a reliable model based on mixed-integer programming (MIP) in which the purchasing lot-sizing with all-unit discount and multiple transportation modes, production lot-sizing and scheduling are achieved simultaneously while these decisions are made independently in traditional environments. First, this research examines the maximizing profit with demand choice flexibility in a trade-off with the minimizing risk of HAZMAT incidents. Then, the stochastic model with uncertain demand is extended applying Chance-constrained programming (CCP) approach and the results are compared using various datasets. Examinations denote that examples of reasonable sizes in different conditions can be solved in a few seconds. Results show that the deterministic model with demand choice flexibility has a better computational performance than the stochastic model with stochastic demand, but the quality of the stochastic model’s solutions is higher than the other one over the various utilization levels of production lines. Based on the results, with increasing the level of utilization, the total profit decreases, and the total risk increases. Furthermore, the results also prove the impact of discount structure on production and purchasing quantities, revenues, costs, and risks.

这项研究解决了具有复杂设置结构的集成的批量确定和调度问题，在这种问题中，所需的原材料是危险的，而一旦发生事故，有害物质的固有风险（HAZMATs）会给环境和人类造成破坏和危险后果。本文提出了一种基于混合整数规划（MIP）的可靠模型，该模型可以同时实现具有全单位折扣和多种运输方式的采购批量，生产批量和调度，而这些决策是在传统环境中独立做出的。首先，本研究考察了最大的利润和需求选择的灵活性，同时权衡了HAZMAT事件的风险。然后，使用机会约束规划（CCP）方法扩展了具有不确定需求的随机模型，并使用各种数据集对结果进行了比较。检验表明可以在几秒钟内解决在不同条件下合理尺寸的示例。结果表明，具有需求选择灵活性的确定性模型比具有随机需求的随机模型具有更好的计算性能，但是在生产线的各种利用水平上，该随机模型的解决方案的质量都高于另一种。根据结果​​，随着利用率的提高，总利润减少，总风险增加。此外，结果还证明了折扣结构对生产和购买数量，收入，成本和风险的影响。