In this article we study the simplest one-dimensional transport equation ut + aux = f and study the implementation of the boundary condition using a penalty

Abstract: A single-objective optimization energy management strategy (EMS) for an onboard hybrid energy storage system (HESS) for light rail (LR) vehicles is proposed. TheHESS uses batteries and supercapacitors (SCs). The main objective of the proposed optimization is to reduce the battery and SC losses while maintaining the SC state of charge (SOC) within specific limits based on the distance ...

Magnetic resonance images which are corrupted by noise and by smooth modulations are corrected using a variational formulation incorporating a total variation like penalty for the image and a high order penalty for the modulation. The optimality system is derived and numerically discretized. The cost functional used is non-convex, but it possesses a bilinear structure which allows the ambiguity...

We model a retailer’s assortment planning problem under a ranking-based choice model of consumer preferences. Under this consumer choice model each customer belongs to a type, where a type is a ranking of the potential products by the order of preference, and the customer purchases his highest ranked product (if any) offered in the assortment. In our model we consider products with different pr...

ai = time aircraft i lands after the preferred landing time Pi (i 1; . . . ; N) bi = time aircraft i lands before the preferred landing time Pi (i 1; . . . ; N) C = cost coefficient vector defined in the linear programming problem Ei = earliest landing time for aircraft i (i 1; . . . ; N) fi = penalty cost per unit of time if aircraft i lands before the preferred landing time Pi (i 1; . . . ; N...

Consider a decision maker who is responsible to dynamically collect observations so as to enhance his information about an underlying phenomena of interest in a speedy manner while accounting for the penalty of wrong declaration. Due to the sequential nature of the problem, the decision maker relies on his current information state to adaptively select the most “informative” sensing action amon...

Class imbalance is one of the challenging problems for machine learning in many real-world applications, such as coal and gas burst accident monitoring: the burst premonition data is extreme smaller than the normal data, however, which is the highlight we truly focus on. Cost-sensitive adjustment approach is a typical algorithm-level method resisting the data set imbalance. For SVMs classifier,...

This paper studies the competitive and cooperative selection of inventory policies in a two-echelon supply chain with one supplier and N retailers. Stochastic demand is monitored continuously. Retailers incur inventory holding and backorder penalty costs. The supplier incurs holding costs for its inventory and backorder penalty costs for backorders at the retailers. The latter cost reflects the...

“I’d rather be Hanged for a Sheep than a Lamb: The Unintended Consequences of ‘Three-Strikes’ Laws” Strong sentences are common “tough on crime” tool used to reduce the incentives for individuals to participate in criminal activity. However, the design of such policies often ignores other margins along which individuals interested in participating in crime may adjust. I use California’s Three S...