Talk Title Optimal Rationing of Pooled Resources with Individual Service-Level Constraints Abstract Resource pooling is a fundamental concept in supply chain management for reducing and hedging uncertainty. An important problem in resource pooling is to decide (1) the capacity level of pooled resources in anticipation of random demand of multiple customers and (2) how the…

Talk Title: Theory and Algorithms for Non(-Clarke)-Regular Optimization Problems Abstract: Despite the growing interest in nonconvex and nonsmooth optimization problems among the continuous optimization community, much of the current research focuses on Clarke-regular objectives and constraints. This regularity leads to favorable computational properties, but limits the practical applicability of the algorithms developed. In this talk,…

Talk Title: Generalized Submodular Optimization—Theory, Algorithms, and Applications Abstract: Submodularity is an important concept in integer and combinatorial optimization. Submodular set functions capture diminishing returns, and for this desirable property, they are found in numerous real-world applications. A submodular set function models the effect of selecting items from a single ground set, and whether an…