Mathematical Sciences: Sensitivity of Solutions to the Problem of Locating Hub Facilities

轮毂位置问题可以看作是一个非凸优化问题，在其他应用中也有相似之处。在这里，关键输入参数可能是动态的，因此这项工作将考虑启发式解决方案的敏感性分析。该奖项支持跨学科的努力和研究合作的发展，涉及地球科学的定量建模。特别是，数学家和地理学家将把注意力集中在新的优化算法的发展上，以解决分配中心设施的问题，当这些设施被限制在特定的可用位置，当从一个点或节点到另一个点或节点的活动流已知或可以数学建模时。

The problem of hub location can be viewed as a nonconvex optimization problem which has parallels in other applications as well. Here, the critical input parameters may be dynamic, so this work will consider sensitivity analysis for heuristic solutions. This award supports the cross-disciplinary efforts and the development of a research collaboration involving quantitative modelling in the geosciences. In particular the mathematicians and the geographer will focus their attention on the development of new optimization algorithms for the problem of assigning hub facilities when these are restricted to specific available locations and when the flow of activity from one point or node to another is known or can be modelled mathematically.