We present novel mixed-integer programming (MIP) formulations for optimization over
nonconvex piecewise linear functions. We exploit recent advances in the systematic …

Dispatch of battery storage systems for stationary grid applications is a topic of increasing
interest: due to the volatility of power system's energy supply relying on variable renewable …

It is well known that selecting a good mixed-integer programming (MIP) formulation is crucial
for effectively obtaining a solution with state-of-the art solvers. Although best practices and …

We develop an optimization framework for identifying ideal Mixed Binary Linear Programs
(MBLP) which is linear when using known input data and nonconvex quadratic over …

The facility layout problem is to determine a layout design of facilities so as to minimize a
total material handling cost (TMHC). In this paper, unequal area rectangular facilities with …

Piecewise linear (PWL) functions are comprised of a series of connected, affine segments
which intersect at breakpoints. PWL functions can be used to model trends in data, such as …

For many mixed-integer programming (MIP) problems, high-quality dual bounds can be
obtained either through advanced formulation techniques coupled with a state-of-the-art MIP …

In this thesis, we explore wire routing strategies for new paradigms in chip design. Where
current chip design techniques involve multi-layered techniques to prevent wire crossings …

Day by day the need for autonomy, efficiency, reliability, and sustainability in the power
generation, drives researchers to seek alternative energy resources. Therefore, the demand …