Use of multi-objective examination model to sensitivity analysis for sustainability with three new practices

Purpose: The study has two main objectives. The first is to introduce three new examination policy practices: overbooked exam rooms, a substitute invigilator and an inheritance of the invigilation distribution. The second is the use of the examination model to determine the sustainability of the system against expected changes and to obtain long-term strategic information. This study aims to obtain managerial insights on the sustainability of the examination system with the newly introduced practices; it does not claim to propose solutions for large-scale problems. Design/methodology/approach: This study introduces a multi-objective mathematical model that contains a couple of constraints that belong to new practices. To check the sustainability of the system, this study gets help from sensitivity analysis, which informs the decision-maker about how the results will react to parameter changes. The authors perform all experiments in the Python/Gurobi modeling environment. Findings: The results demonstrate that the proposed practices are effective in the efficient use of resources. Also, this study shows that the examination model can be used as a stress test so that the weaknesses of the system can be identified and long-term strategic information can be obtained. Originality/value: The contribution of this study is twofold: the introduction of examination policy practices that are overbooked exam rooms, a substitute invigilator and an inheritance of the invigilation distribution. Overbooked exam rooms aim to use resources effectively, taking into account the possibility of temporarily increasing the exam room capacity. The substitute invigilator protects the examination process against sudden events. The inheritance of the invigilation distribution helps to ensure fairness; and the use of the examination model to obtain managerial insights on expectations. This allows testing the validity of existing policies and making necessary changes, taking into account possible changes in the system. In this respect, it differs from the studies in the literature and fills an important managerial gap.