论文标题

论文防御计划的多目标模型

A Multi-Objective Model for Thesis Defence Scheduling

论文作者

Almeida, João, Santos, Daniel Rebelo dos, Figueira, José Rui

论文摘要

我们解决了论文的防御计划问题,这是一个关键的学术安排管理过程,其在文献中,其同行,课程时间表和考试时间表都掩盖了。具体而言,论文辩护计划问题的单一辩护分配类型,每个委员会都被分配给了一个特定日期,小时和房间的单一辩护。我们制定了一个多目标混合构成线性编程模型,该模型的目的是对上述问题的一般表示,因此可以将其应用于与文献中存在的其他模型更广泛的案例,该模型侧重于其大学的特征。我们引入了一个新的决策变量,提出了不是特定政策的约束公式,并为文献中看到的更常见的目标提供了新的措施。我们还根据大学在大学问题的经验中提供了新的目标功能。我们还提出了一种两阶段的解决方案方法。第一阶段用于查找可计划防御的数量,从而可以优化具有不可计划性的防御措施的实例。第二阶段是增强电子构造方法的实现,该方法允许在跳过冗余迭代时搜索一组不同和非主导的解决方案。提出了一种用于论文调度问题的新颖实例发生器。它的主要好处是在可用性和不可用块中产生委员会成员和房间的可用性,类似于他们的现实世界。解决和分析了一组96个随机生成的不同大小的实例。所提出的方法可以在每个测试实例的设定时间限制内找到最佳的可计划防御次数,并呈现非主导的解决方案。

We address the thesis defence scheduling problem, a critical academic scheduling management process, which has been overshadowed in the literature by its counterparts, course timetabling and exam scheduling. Specifically, the single defence assignment type of thesis defence scheduling problems, where each committee is assigned to a single defence, scheduled for a specific day, hour and room. We formulate a multi-objective mixed-integer linear programming model, which aims to be a general representation of the problem mentioned above, and that can, therefore, be applied to a broader set of cases than other models present in the literature, which have a focus on the characteristics of their universities. We introduce a new decision variable, propose constraint formulations that are not policy specific, and offer new takes on the more common objectives seen in the literature. We also include new objective functions based on our experience with the problem at our university. We also propose a two-stage solution approach. The first stage is employed to find the number of schedulable defences, enabling the optimisation of instances with unschedulable defences. The second stage is an implementation of the augmented e-constraint method, which allows for the search of a set of different and non-dominated solutions while skipping redundant iterations. A novel instance generator for thesis scheduling problems is presented. Its main benefit is the generation of the availability of committee members and rooms in availability and unavailability blocks, resembling their real-world counterparts. A set of 96 randomly generated instances of varying sizes is solved and analysed. The proposed method can find the optimal number of schedulable defences and present non-dominated solutions within the set time limits for every tested instance.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源