The Cahn-Hilliard equation is very important in materials science. It is a conservation law which describes important qualitative behaviors of two-phase systems, namely, the phase separation process in a binary alloy. This phenomenon can be observed, for instance, when the alloy is cooled down sufficiently. One then observes a partial nucleation (i.e., the apparition of nucleides in the materia...

In this paper, we study the performance of service systems with priority upgrades. We model the service system as a single-server two-class priority queue, with queue 1 as the normal queue and queue 2 as the priority queue. The queueing model of interest has various applications in healthcare services, perishable inventory and project management. We comprehensively examine the system’s stationa...

In this paper, an analytical framework is developed to evaluate the performance of complete sharing (CS) with two different handover priority schemes for multi-class traffic in Low Earth Orbit-Mobile Satellite Systems (LEO-MSS). In the first priority scheme, the handover requests are given the higher priority using queuing scheme with also taking into consideration the priority between classes ...

We propose a novel second order in time, decoupled and unconditionally stable numerical scheme for solving the Cahn-Hilliard-Darcy (CHD) system which models two-phase flow in porous medium or in a Hele-Shaw cell. The scheme is based on the ideas of second order convex-splitting for the Cahn-Hilliard equation and pressure-correction for the Darcy equation. We show that the scheme is uniquely sol...

high congestion of returned product at remanufacturing facility causes substantial delays and consequently remarketing value losses for time-sensitive and high-tech products with short life cycles, such as electronic equipments. at the remanufacturing site the returned product are inspected and classified according to their quality and processing time in one of the two classes: class 1 being ad...

This paper deals with a multi-class priority queueing system with customer transfers that occur only from lower priority queues to higher priority queues. Conditions for the queueing system to be stable/unstable are obtained. An auxiliary queueing system is introduced, for which an explicit product-form solution is found for the stationary distribution of queue lengths. Sample path relationship...

We consider a two-class M " A2 IMI'11 preemptive priority queue in which there are two essential on-line decisions that have to be taken. The first is the decision to either accept or reject new type-lor type-2 jobs. The second is the decision to abort jobs, i.e., to remove any type-lor type-2 jobs from the system. We show that there exist optimal threshold policies for these two types of decis...

We present a novel classification method for splice sites prediction using support vector machine (SVM). The method first represents input sequences by sequence-based features, including the information of the distribution of tri-nucleotides and the conserved features surrounding the splice sites characterized by Markov model. An F-score based feature selection method is then used to select inf...

We consider a two-class M " A2 IMI'11 preemptive priority queue in which there are two essential on-line decisions that have to be taken. The first is the decision to either accept or reject new type-lor type-2 jobs. The second is the decision to abort jobs, i.e., to remove any type-lor type-2 jobs from the system. We show that there exist optimal threshold policies for these two types of decis...