Get Fairness in Academic Course Timetabling PDF

By Moritz Mühlenthaler

ISBN-10: 3319127985

ISBN-13: 9783319127989

ISBN-10: 3319127993

ISBN-13: 9783319127996

This monograph bargains with theoretical and useful facets of making path timetables at educational associations. the duty is sometimes to create a timetable that fits the necessities of the stakeholders – scholars, teachers, and the management – in addition to attainable. The ebook provides an exposition of the fundamental combinatorial difficulties and resolution tools for direction timetabling and similar initiatives. It presents a rigorous therapy of equity concerns that come up within the path timetabling context and exhibits tips to take care of the doubtless conflicting pursuits of the stakeholders. The proposed tools also are without problems acceptable to different periods of scheduling difficulties comparable to employees rostering. ultimately, it provides a complete case examine at the implementation of an automatic direction timetabling procedure on the college of engineering of the college of Erlangen-Nuremberg. The case examine encompasses a exact description of the matter version in addition to an evaluate of stakeholder satisfaction.

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Fairness in Academic Course Timetabling - download pdf or read online

This monograph bargains with theoretical and useful facets of constructing direction timetables at educational associations. the duty is usually to create a timetable that matches the necessities of the stakeholders – scholars, teachers, and the management – in addition to attainable. The ebook offers an exposition of the fundamental combinatorial difficulties and answer equipment for path timetabling and comparable projects.

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3, which is a WEO of the lower domino. Similarly, v11 ; v9 ; v8 ; v13 ; v10 ; v12 is a WEO of the upper domino GŒv8 ; : : : ; v13 . We combine the two vertex orderings such that the lower domino appears after the upper domino and insert v7 in the ordering right after v6 . The resulting vertex ordering is a WEO. SEQRECOLOR transforms c into c 0 , which proves part 2. 2 Connectedness According to the classification of heuristic optimization algorithms for timetabling problems in [Lew06], many approaches in the literature fall in the category of two-step optimization algorithms.

N. By a reduction from the 3-partition problem [GJ79, Problem SP15], Chiarandini et al. showed that deciding whether I admits an assignment of courses to teaching periods such that the workload is perfectly balanced is strongly NP-complete [CDGGS12]. More realistic problem formulations include prerequisite requirements for courses, lower and upper limits for the workload (credits and courses) in each teaching period [CM01, HKW02]. We will revisit the BACP in Chap. 3 in the context of adding fairness criteria to optimization problems.

S; `. G; `. 0 // 9 9 9 9 9 9 is compatible with 0 in the sense that the relative ordering of the last vertices of the cliques is in accordance with 0 . K; `. T; `. 0 // 13, because the last vertex of T has at least 13 adjacent predecessors in G 0 . Thus, we only need to consider orderings such that G > T . Furthermore, since no vertex of G is adjacent to any vertex of A or S , changing the relative order of A and G or S and G does not change the number of adjacent predecessors. Hence, we can assume G is a maximum in any ordering of interest and therefore only the six cases remain, which we deal with by enumeration.

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Fairness in Academic Course Timetabling by Moritz Mühlenthaler


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