The cryptocurrency marketplace provides liquidity receiving orders from investors. This requires managing the appropriate inventory risk. An optimal liquidation strategy based on stochastic control has been proposed for such inventory risk management problems of FX dealers. However, the...

Fishery managers face an ongoing challenge in managing commercial fisheries in a way which enables the short-term delivery of economic benefits to commercial fishers while also ensuring those benefits do not compromise the ability of fish stocks to deliver benefits into the future. This...

In this paper, we propose a new approach for stochastic control problems arising from utility maximization. The main idea is to directly start from the dynamical programming equation and compute the conditional expectation using a novel representation of the conditional density function through...

We study scheduling in a stochastic processing network where there are multiple job types, multiple homogeneous servers, and jobs are expressed as directed acyclic graphs (DAGs) of tasks. Our main motivation is the scheduling of cloud computing resources where customers express their requests as...

In this article, we propose a PEARM mathematical model to depict the dynamic of a population that reacts in the spread of the gaming disorder with media coverage. The basic reproduction number and existence of free equilibrium point and endimec equilibrium point are obtained with same...

The efficacy of the widely-adopted “top-n” policy in university integration has been questioned because students strategically relocate to low-achieving high schools. We show that when different SES groups have heterogenous relocation costs, the policy can even segregate minorities from the...

In this paper, we present several optimal control approaches which are designed to control and regulate the evolution of infection numbers in the COVID-19 disease. In our setting, the number of infected people at a certain location is modeled by a continuous-time stochastic process which can be...