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math.OC2020
Convex Hulls for Graphs of Quadratic Functions With Unit Coefficients: Even Wheels and Complete Split Graphs
Mitchell Harris, Thomas Kalinowski
We study the convex hull of the graph of a quadratic function , where the sum is over the edge set of a graph with vertex set $\{1,\dots,n\}…
math.OC2019
Maintenance scheduling in a railway corricdor
Saman Eskandarzadeh, Thomas Kalinowski, Hamish Waterer
We investigate a novel scheduling problem which is motivated by an application in the Australian railway industry. Given a set of maintenance jobs and a set of train paths over a r…
math.OC2018
Tight MIP formulations for bounded length cyclic sequences
Thomas Kalinowski, Tomas Lidén, Hamish Waterer
We study cyclic binary strings with bounds on the lengths of the intervals of consecutive ones and zeros. This is motivated by scheduling problems where such binary strings can be…