We generalize the analysis of Ball, Day and Kachroo [2] to a fluid model of a single server re-entrant queue. The approach is to solve the Hamilton-Jacobi-Isaacs equation associated with optimal robust control of the system. The method of “staged” characteristics is generalized from [2] to construct the solution explicitly. Formulas are developed allowing explicit calculations for the Skorokhod...

In this paper, a new class of control systems based on non-equilibrium dynamic games is introduced. Specifically, we consider optimization and identification problems modeled by an infinitely repeated 2×2 generic games between a human and a machine, where the machine takes a fixed and k-step-memory strategy while the human is more intelligent in the sense that she can optimize her strategy. Thi...

We consider the so-called “optimal execution problem” in algorithmic trading, which is the problem faced by an investor who has a large number of stock shares to sell over a given time horizon and whose actions have impact on the stock price. In particular, we develop and study a price model that presents the stochastic dynamics of a geometric Brownian motion and incorporates a log-linear effec...

This paper studies radical innovation and its internal managerial control modes from the perspective of entrepreneurial orientation; then proposes a conceptual model and theory hypotheses. On analyzing the effective sample data from 682 enterprises of different industries across 10 provinces and cities in China, we have confirmed the theoretical model. The results indicate that entrepreneurial ...

In general, different countries and communities respond to epidemics in accordance with their own control plans and protocols. However, owing to global human migration and mobility, strategic planning for epidemic control measures through the collaboration of relevant public health administrations is gaining importance for mitigating and containing large-scale epidemics. Here, we present a fram...