This paper presents a review pertaining to assignment problem within the education domain, besides looking into the applications of the present research trend, developments, and publications. Assignment problem arises in diverse situations, where one needs to determine an optimal way to assign subjects to subjects in the best possible way. With that, this paper classified assignment problems into two, which are timetabling problem and allocation problem. The timetabling problem is further classified into examination, course, and school timetabling problems, while the allocation problem is divided into student-project allocation, new student allocation, and space allocation problems. Furthermore, the constraints, which are of hard and soft constraints, involved in the said problems are briefly elaborated. In addition, this paper presents various approaches to address various types of assignment problem. Moreover, direction and potential paths of problem solving based on the latest trend of approaches are also highlighted. As such, this review summarizes and records a comprehensive survey regarding assignment problem within education domain, which enhances one’s understanding concerning the varied types of assignment problems, along with various approaches that serve as solution.

中文翻译：

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作业问题及其在教育领域的应用：回顾与潜在路径

除了研究当前研究趋势，应用和出版物的应用外，本文还介绍了与教育领域内的分配问题有关的综述。分配问题出现在不同的情况下，在这种情况下，需要确定一种最佳方法，以最佳方式将主题分配给主题。据此，本文将分配问题分为时间表问题和分配问题两类。时间表问题进一步分为考试，课程和学校时间表问题，而分配问题又分为学生项目分配，新学生分配和空间分配问题。此外，简要阐述了所述问题中涉及的硬约束和软约束。此外，本文提出了解决各种类型分配问题的各种方法。此外，还强调了基于最新方法趋势解决问题的方向和潜在路径。因此，本综述总结并记录了有关教育领域内作业问题的全面调查，这增强了人们对各种作业问题类型的理解，并提供了各种解决方案。