Robust scenario formulations for strategic supply chain optimization under uncertainty

Strategic supply chain optimization (SCO) problems are often modelled as a two-stage optimization problem, in which the first-stage variables represent decisions on the development of the supply chain and the second-stage variables represent decisions on the operations of the supply chain. When uncertainty is explicitly considered, the problem becomes an intractable infinite-dimensional optimization problem, which is usually solved approximately via a scenario or a robust approach. This paper proposes a novel synergy of the scenario and robust approaches for strategic SCO under uncertainty. Two formulations are developed, namely, naïve robust scenario formulation and affinely adjustable robust scenario formulation. It is shown that both formulations can be reformulated into tractable deterministic optimization problems if the uncertainty is bounded with the infinity-norm, and the uncertain equality constraints can be reformulated into deterministic constraints without assumption of the uncertainty region. Case studies of a classical farm planning problem and an energy and bioproduct SCO problem demonstrate the advantages of the proposed formulations over the classical scenario formulation. The proposed formulations not only can generate solutions with guaranteed feasibility or indicate infeasibility of a problem, but also can achieve optimal expected economic performance with smaller numbers of scenarios.

Healthcare and the Common Good: Restructuring the Economy of Medical Knowledge through Communitarian Political Theory

The pharmaceutical industry wields disproportionate power and control within the medical economy of knowledge where the desire for profit considerably outweighs health for its own sake. Utilizing the theoretical tools of political philosophy, this project restructures the economy of medical knowledge in order to lessen the oligarchical control possessed by the pharmaceutical industry. Ultimately, this project argues that an economy of medical knowledge structured around communitarian political theory lessens the current power dynamic without taking an anti-capitalist stance. Arising from the core commitments of communitarian-liberalism, the production, distribution, and consumption of medical knowledge all become guided processes seeking to realize the common good of quality healthcare. This project also considers two other theoretical approaches: liberalism and egalitarianism. A Medical knowledge economy structured around liberal political theory is ultimately rejected as it empowers the oligarchical status quo. Egalitarian political theory is able to significantly reduce the power imbalance problem but simultaneously renders inconsequential medical knowledge; therefore, it is also rejected.