Tests on a computer method for constructing school timetables

作者: J. Csima , C. C. Gotlieb

DOI: 10.1145/363958.363986

关键词:

摘要: A previously proposed computer method for constructing timetables, based on an iteration involving Boolean matrices, is described. In limited tests the has successfully produced timetables every trial. References are given which relate timetable problem to theorems matrices of zeros and ones, bipartite graphs. Some problems applying in real situations noted.

参考文章(9)
C. C. Gotlieb, The Construction of Class-Teacher Time-Tables. ifip congress. pp. 73- 77 ,(1962)
Alan G. Konheim, A Geometric Convergence Theorem for the Perceptron Journal of The Society for Industrial and Applied Mathematics. ,vol. 11, pp. 1- 14 ,(1963) , 10.1137/0111001
A. L. Dulmage, N. S. Mendelsohn, Matrices Associated With the Hitchcock Problem Journal of the ACM. ,vol. 9, pp. 409- 418 ,(1962) , 10.1145/321138.321139
H. J. Ryser, Combinatorial Properties of Matrices of Zeros and Ones Canadian Journal of Mathematics. ,vol. 9, pp. 269- 275 ,(1957) , 10.1007/978-0-8176-4842-8_18
A. L. Dulmage, N. S. Mendelsohn, Two Algorithms for Bipartite Graphs Journal of The Society for Industrial and Applied Mathematics. ,vol. 11, pp. 183- 194 ,(1963) , 10.1137/0111014
P. Hall, On Representatives of Subsets Journal of The London Mathematical Society-second Series. pp. 26- 30 ,(1935) , 10.1112/JLMS/S1-10.37.26
Marshall Hall, An Algorithm for Distinct Representatives American Mathematical Monthly. ,vol. 63, pp. 716- ,(1956) , 10.2307/2309562