Indivisible resource allocation motivates us to study the matrix completion concerning the
class of (0, 1)-matrices with prescribed row/column sums and preassigned zeros. We …

A key feature of the smart grid is the integration of a large group of flexible loads which,
depending on their respective natures, are deferrable, and/or interruptible. To fully exploit …

An increasing concern in power systems is how to elicit flexibilities in demand, which leads
to nontraditional electricity products for accommodating loads of different flexibility levels …

In this paper, we analyze the existence conditions of a special class of constrained zero-one
matrices with uncertainties. Classically, it asks how to characterize a class of zeroone …

The supply/demand balance problem plays a pivotal role in the electricity grid, especially
when an increasing proportion of power is generated from renewable resources. Enormous …

The adoption of new market mechanisms–vital to the better integration of flexible assets–
depends on the fairness and nondiscrimination of the pricing rules. We consider a market …

Efficient resource allocation is one of the main driving forces of human civilizations. Of the
many existing approaches to resource allocation, matrix completion is one that is frequently …

Integer matrix completion is a long-studied mathematical topic for finding a required matrix
based on partially observed information, which aids in modeling and solving various …