This note gives a brief, non-rigorous sketch of basic optimal control theory, which is a useful tool in several simple economic problems,such as those in resource and environmental economics. While the mathematical analysis in the note is self-contained, there is not much explanation and...

Orion Controls is a leading designer of industrial valve systems. Avion, a chemical company, is interested in a new, improved valve to manage the highly volatile phenol in its production process. Avion and Orion strike a deal for Orion to try to produce these valves. However, there are time...

In this paper, we study an assemble-to-order system consisting of n products assembled from a subset of m distinct components where the products have a modular nested design. i.e., product i has only one additional component more than product i-1. In particular, we study the optimal production...

Despite the discovery fifty years ago, of drugs that can cure tuberculosis (TB), the disease still remains a top killer worldwide. The note stipulates that one third of the world's population is infected by Mycrobacterium Tuberculosis, and while ninety percent of infected individuals never...

CAR T-cell immunotherapy is a new development in the treatment of leukemia, promising a new era in oncology. Although so far, this procedure only helps 50-90% of patients and, like other cancer treatments, has serious side effects. In this work, we have proposed a controlled model for leukemia...

A model of production funds acquisition, which includes two differential links of the zero order and two series-connected inertial links, is considered in a one-sector economy. Zero-order differential links correspond to the equations of the Ramsey model. These equations contain scalar bounded...

The literature associated with system modeling and decision-making falls short in automating policy formation for correlated multiple-policy multiple-objective (MPMO) processes. Enthused by the effectiveness of multivariable control theory, this paper proposes the implementation of a...

The paper presents a transformation of a multi-stage optimal control model with random switching time to an age-structured optimal control model. Following the mathematical transformation, the advantages of the present approach, as compared to a standard backward approach, are discussed. They...