This paper considers the allocation of resources, i.e., the amount of working hours of healthcare professionals (like physicians, nurses, clerks, social workers, nutritionists, pharmacists, etc.), to teams facing a stochastic demand in a Patient-Centered Medical Home (PCMH). To handle this...

In Linear Programming: A Modern Integrated Analysis, both boundary (simplex) and interior point methods are derived from the complementary slackness theorem and, unlike most books, the duality theorem is derived from Farkas's Lemma, which is proved as a convex separation theorem. The tedium of...

In this paper, we provide a system of equations to measure investor impatience in financial markets. As in physics, we propose that there exists a measurable force created by external market factors, including investor impatience, which we equate with gravitational force. Using a physics-based...

Incentive contracts with multiple agents is a classical decentralized decision-making problem with asymmetric information. Contract design aims to incentivize noncooperative agents to act in the principal's interest over a planning horizon. We extend the single-agent incentive contract to a...

In this research, we propose a macroscopic model of the equity market based on the physics of fluid dynamics. We develop sensors triggered by certain properties of the macroscopic variables, density and velocity, that can alert regulators to abnormal activity. Fluid flow in physics will be used...