Abstract
The basic class–teacher timetabling problem is examined with the additional constraints due to the (un-)availability of source teachers and/or classes at some periods. We mention a generalization of this problem which occurs in image reconstruction problems in tomography. Complexity issues are discussed for both types of problems and some solvable cases are presented which can be derived from the image reconstruction formulation. Reductions to canonical forms are also described. Some other types of unavailability constraints (for classrooms or for lectures) are also reviewed.
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Asratian, A.S., de Werra, D.: A Generalized Class–Teacher Model for Some Timetabling Problems. Eur. J. Oper. Res. (2002) (to appear)
Asratian, A.S., Kamalian, R.R.: Interval Edge Coloring of Multigraphs. Appl. Math. Yerevan University 5, 21–34 (1987) (in Russian)
Berge, C.: Graphs and Hypergraphs. North-Holland, Amsterdam (1973)
Blazewicz, J., Ecker, K., Pesch, E., Schmidt, G., Weglarz, J.: Scheduling Computer and Manufacturing Processes. Springer, Heidelberg (1996)
Carter, M.W., Tovey, C.A.: When Is the Classroom Assignment Problem Hard? Oper. Res. 40 (suppl. 1), S28–S39 (1996)
Costa, M.-C., de Werra, D., Picouleau, C.: On Some Image Reconstruction Problems (2002) (submitted)
Even, S., Itai, A., Shamir, A.: On the Complexity of Timetable and Multicommodity Flow Problems. SIAM J. Comput. 5, 691–703 (1976)
Gabow, T., Nishizeki, O., Kariv, D., Leven, O., Terada, O.: Algorithms for Edge-Coloring Graphs. University of Colorado, Boulder (1983) (unpublished manuscript)
Williamson, D.P., Hall, L.A., Hoogeven, J.A., Hurkens, C.A.J., Lenstra, J.K., Sevastianov, S.V., Shmoys, D.B.: Short Shop Schedules. Oper. Res. 45, 288–294 (1997)
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de Werra, D. (2003). Constraints of Availability in Timetabling and Scheduling. In: Burke, E., De Causmaecker, P. (eds) Practice and Theory of Automated Timetabling IV. PATAT 2002. Lecture Notes in Computer Science, vol 2740. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45157-0_1
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DOI: https://doi.org/10.1007/978-3-540-45157-0_1
Publisher Name: Springer, Berlin, Heidelberg
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