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<p>The invigilator assignment problem provides an assignment of invigilators, also called proctors, to a predetermined exam timetable with given invigilator demand. We provide three problem variants with a focus on invigilator-timeslot preferences and socialization aspects. We prove that the variant with timeslot preferences is polynomially solvable, whereas incorporating socialization aspects makes the problem <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathcal{N}\mathcal{P}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="script">N</mi> <mi mathvariant="script">P</mi> </mrow> </math></EquationSource> </InlineEquation>-hard. Hence, we also provide a heuristic approach and show its effectiveness based on real-life benchmark instances, arising from a case study conducted at Ghent University. Furthermore, we introduce and evaluate artificial instances based on well-known exam timetabling instances from the literature. Finally, we discuss the practical implications and key insights derived from the case study.</p>

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The (a)social exam invigilator assignment problem

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月26日

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  • Hannah Verplancke,
  • David Van Bulck,
  • Veronique Limère,
  • Nico André Schmid

摘要

The invigilator assignment problem provides an assignment of invigilators, also called proctors, to a predetermined exam timetable with given invigilator demand. We provide three problem variants with a focus on invigilator-timeslot preferences and socialization aspects. We prove that the variant with timeslot preferences is polynomially solvable, whereas incorporating socialization aspects makes the problem \(\mathcal{N}\mathcal{P}\) N P -hard. Hence, we also provide a heuristic approach and show its effectiveness based on real-life benchmark instances, arising from a case study conducted at Ghent University. Furthermore, we introduce and evaluate artificial instances based on well-known exam timetabling instances from the literature. Finally, we discuss the practical implications and key insights derived from the case study.