In this paper, we introduce and study a two-stage distributionally robust mixed binary
problem (TSDR-MBP) in which the random parameters follow the worst-case distribution …

We introduce two-stage distributionally robust disjunctive programs (TSDR-DPs) with
disjunctive constraints in both stages and a general ambiguity set for the probability …

In this paper, we derive (partial) convex hull for deterministic multi-constraint polyhedral
conic mixed integer sets with multiple integer variables using conic mixed integer rounding …

We study two-stage stochastic mixed integer programs (TSS-MIPs) with integer variables in
the second stage. We show that under suitable conditions, the second stage MIPs can be …

We study new generalizations of the classic capacitated lot-sizing problem with concave
production (or transportation), holding, and subcontracting cost functions in which the total …

In this paper, we consider the well-known constant-batch lot-sizing problem, which we refer
to as the single module capacitated lot-sizing (SMLS) problem, and multi-module …

In this paper, we introduce a generalization of the continuous mixing set, which we refer to
as the continuous multi-mixing set. This set is closely related to the feasible set of the multi …

The research objective of this dissertation is to develop new facet-defining valid inequalities
for several new multi-parameter multi-constraint mixed integer sets. These valid inequalities …

With the rapidly growing need for long-term decision making in the presence of stochastic
future events, it is important to devise novel mathematical optimization tools and develop …

Many real-world decision-making problems can be modeled as network design problems,
especially on networks with capacity requirements on links. In network design problems …