Recently, Cai et al. (2015) proposed closed-form double transform approxima- tion formulas for prices of both discretely and continuously monitored Asian options under the setting of a general continuous-time Markov chain. In this note, we analytically invert the Z−transform and the Laplace...

In an assemble-to-order system, a wide variety of products are rapidly assembled from component inventories, in response to customer orders. Orders must be filled within a productspecific target leadtime. In the event that some of the components required to fill an order are out-of-stock, these...

After the financial crisis, a financial innovation, the central clearing counterparty (CCP) has been proposed and proved its importance in facilitating the clearing of interbank liabilities. In its original design, there is a possibility that the CCP may go default, and thus jeopardizing the...

We establish a novel duality relationship between continuous and discrete non-negative additive functionals of stochastic (not necessarily Markovian) processes and their right inverses. For general Markov processes, we further extend and develop a theoretical and computational framework for the...

We consider an assemble-to-order system with a high volume of prospective customers arriving per unit time. A companion paper established that with optimal product prices, component production capacity, and sequencing of orders for assembly, the system can be approximated by a diffusion process...

We consider an assemble-to-order system with a high volume of prospective customers arriving per unit time. Our objective is to maximize expected infinite horizon discounted profit by choosing product prices, component production capacities, and a dynamic policy for sequencing customer orders...

We consider a dynamic control problem for a parallel server system commonly known as the N-system. An N-system is a two-server parallel server system with two job classes, one server that can serve both classes, and one server that can only serve one class. We assume that jobs within each class...