This paper considers a service system with bulk service and an unreliable server, generalising the work of Tadj and Choudhury [Applied Mathematics Letters, 22 (2009) 1710-1714]. While Tadj and Choudhury assume single arrivals, we allow arrivals to occur in bulk, which increases the analytical...

We have developed a new financial indicator—called the Interest Rate Differentials Adjusted for Volatility (IRDAV) measure—to assist investors in currency markets. On a monthly basis, we rank currency pairs according to this measure and then select a basket of pairs with the highest IRDAV...

A random search algorithm for unconstrained local nonsmooth optimization is described. The algorithm forms a partition on <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$\mathbb{R}^{n}$</EquationSource> </InlineEquation> using classification and regression trees (CART) from statistical pattern recognition. The CART partition defines desirable subsets where the objective...</equationsource></inlineequation>

This work investigates the inverse problem of reconstructing a spacewise dependent heat source in the parabolic heat equation using a final temperature measurement. Such problem has important application in a large field of applied science. On the basis of the optimal control framework, the...