41 citations · 49 across the 5 of their papers we have counts for
5 papers
A Polyhedral Study on Unit Commitment with a Single Type of Binary Variables
Bin Tian, Kai Pan, Chung-Lun Li
Efficient power production scheduling is a crucial concern for power system operators aiming to minimize operational costs. Previous mixed-integer linear programming formulations f…
Optimized Dimensionality Reduction for Moment-based Distributionally Robust Optimization
Shiyi Jiang, Jianqiang Cheng, Kai Pan +1
Moment-based distributionally robust optimization (DRO) provides an optimization framework to integrate statistical information with traditional optimization approaches. Under this…
Convex Hulls for the Unit Commitment Polytope
Kai Pan, Yongpei Guan
In this paper, we consider the polyhedral structure of the unit commitment polytope. In particular, we provide the convex hull results for the problem under the following different…
Polynomial Time Algorithms and Extended Formulations for Unit Commitment Problems
Yongpei Guan, Kai Pan, Kezhuo Zhou
Recently increasing penetration of renewable energy generation brings challenges for power system operators to perform efficient power generation daily scheduling, due to the inter…
A Polyhedral Study of the Integrated Minimum-Up/-Down Time and Ramping Polytope
Kai Pan, Yongpei Guan
In this paper, we study the polyhedral structure of an integrated minimum-up/-down time and ramping polytope, which has broad applications in variant industries. The polytope we st…