We consider the (n - 2, n) cyclical scheduling problem which assigns a shift of n - 2 consecutive periods among a total of n periods to workers. We solve this problem by solving a series of b-matching problems on a cycle of n vertices. Each vertex has a capacity, and edges have costs associated with them. The objective is to maximize the total cost of the matching. The best known algorithm for this problem uses network flow, which runs in O(n2log n) on a cycle. We provide an O(n log n) algorithm for this problem. Using this, we provide an O(n log n log nbmax) algorithm for the (n - 2, n) cyclical scheduling problem, where bmax is the maximum capacity on a vertex. © 2013 Springer-Verlag.
CITATION STYLE
Bhattacharya, B., Chakraborty, S., Iranmanesh, E., & Krishnamurti, R. (2013). The cyclical scheduling problem. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7748 LNCS, pp. 217–232). https://doi.org/10.1007/978-3-642-36065-7_21
Mendeley helps you to discover research relevant for your work.