Inverse Optimisation in Application to Scheduling

近年来，人们对反向优化的兴趣急剧增加。与传统的优化模型不同，传统的优化模型给出了所有参数，目标是在一定约束下找到最优解，在反向优化中，一些参数的精确值是未知的，它们应该被确定，以便预先指定的解成为最优解。尽管逆优化问题已经引起了组合优化领域不同领域的研究人员的广泛关注，但还没有人从逆优化的角度对调度问题进行研究。该项目的成果将推进调度领域的反向优化研究，并将有助于英国在这一新兴研究方向上的突出地位。

In recent years, the interest in inverse optimisation has increased dramatically. Unlike traditional optimisation models for which all parameters are given and the objective is to find the best solution subject to certain constraints, in inverse optimisation the exact values of some parameters are unknown and they should be determined so that a pre-specified solution becomes optimal. While inverse optimisation has attracted much attention of researchers in different areas of combinatorial optimisation, scheduling problems have not yet been studied in terms of inverse optimisation. The outcomes of this project will advance inverse optimisation research in the area of scheduling and will contribute to the UK's prominence in this newly emerging research direction.