In this study we present an optimization problem where machine scheduling and personnel allocation decisions are solved simultaneously. The machine scheduling consists of solving a variant of the job shop problem where jobs are allocated in batches and multitasking is allowed. On the other hand, the personnel allocation problem searches for the optimal allocation of human resources to support the facility operation. Although these problems have been extensively studied independently in the literature, the integrated problem has very limited studies, in particular for large-scale industrial environments. We introduce a mathematical formulation for this problem and propose a solution method to evaluate optimal solutions more efficiently. We also implement a rolling horizon framework to test our approach using real-world based instances extracted from an analytical service facility. The results show that, overall improvements of up to 11.6% are achieved compared to the case where no personnel allocation decisions are considered within the scheduling problem.

在这项研究中，我们提出了一个优化问题，同时解决了机器调度和人员分配决策。机器调度包括解决车间问题的一种变体，在该问题中，任务是分批分配的，并且允许多任务处理。另一方面，人员分配问题正在寻找人力资源的最佳分配以支持设施运营。尽管这些问题已在文献中进行了广泛的独立研究，但集成问题的研究非常有限，特别是对于大型工业环境。我们针对此问题引入数学公式，并提出一种求解方法，以更有效地评估最优解。我们还实现了滚动框架，以使用从分析服务设施中提取的基于现实世界的实例来测试我们的方法。结果表明，与在调度问题内不考虑人员分配决定的情况相比，总体上提高了11.6％。