Reshaping process is a widely used method for producing tubes with non-circular cross sections. Owing to the friction between pipe and rolls, initial round pipe moves forward and consequently, it gradually formed into square or rectangular one. In practice, geometric profile of the rolls will be changed after a while. These changes would be detrimental the production of faultless products. Ther...

Corollary 1.1. Consider an M/M/s queue with Poisson(λ ) arrivals and each server having exponential service time exp(μ) service. If λ > sμ , then the output process in steady state is Poisson(λ ). Proof. Let X(t) denote the number of customers in the system at time t. Since M/M/s process is a birth and death process, it follows from the previous proposition that {X(t), t ≥ 0} is time reversible...

due to business and environmental issues, the efficient design of an integrated forward/reverse logistics network has recently attracted more attention from researchers. the significance of transportation cost and customer satisfaction spurs an interest in developing a flexible network design model with different delivery paths. this paper proposes a flexible mixed-integer programming model to ...

Recently a reparametrized version of HJM model has been proposed which leads naturally to the innnite dimensional Markov process of forward curves. In this paper we discuss some consequences of the Markovian structure of forward rate dynamics. In particular, we obtain price of the swaption as a solution to the innnite dimensional "Black-Scholes" partial diierential equation.

Continuous pharmaceutical manufacturing together with PAT (Process Analytical Technology) provides a suitable platform for automatic control of the end product quality as desired by QbD (quality by design)-based efficient manufacturing. The precise control of the quality of the pharmaceutical product requires corrective actions in the process/raw material variability before product quality can ...

This work presents a novel concept in stochastic optimization, namely, the notion of forward performance. As an application, we analyze a portfolio management problem with exponential criteria. Under minimal model assumptions we explicitly construct the forward performance process and the associated optimal wealth and asset allocations. For various model parameters, we recover a range of invest...

In this paper, we propose a distributed forward reasoning engine with general purpose called DifreEngine. We present the architecture of DifreEngine with detailed description of its modules. And then, we describe the working process of DifreEngine. Also we introduce the working mechanism of three important algorithms in DifreEngine called task division, nodes management and task scheduling. The...