Asymptotic Analysis of the Current-Voltage Curve of a pnpn Semiconductor Device

We consider the one-dimensional steady-state semiconductor deviceequations modelling a pnpn device. There are two relevant scalingsof the equations corresponding to small and large applied voltages.In both scalings, the semiconductor equations can be consideredas singularly perturbed. It turns out that the small-voltagescaling breaks down for current values between two saturationcurrents. In that interval, the large-voltage scaling has tobe employed. For both scalings, we derive the first-order termsof an asymptotic expansion and show that the reduced problemhas a solution. An example verifies that the current-voltagecurves obtained have the expected qualitative structure.     

Tabu search applied to the general fixed charge problem

Recent successes in applying tabu search to a wide variety of classical optimization problems have motivated the investigation of applying tabu search to the well-known general fixed charge problem (GFCP). In this paper, an adaptation of tabu search to GFCP is described and computational results are given. In addition, the computational results are compared with those obtained from SWIFT-2, the most well-known and frequently used heuristic method for GFCP. As will be shown, the results are very encouraging.     

Recent advances in analytical construct resins

The area of solid-phase synthesis has witnessed exponential growth in the last fifteen years, but difficulties associated with the monitoring and analysis of resin-bound reactions and products have been apparent due to a limited number of analytical methods available. With the substrate tethered to an insoluble support traditional chromatographic monitoring is only possible after cleavage. In order to address this 'analytical bottleneck' Geysen, in 1996 elaborated Merrifield's initial dual linker strategy by incorporating an encoding system between two in-line linkers. These analytical construct resins represented a new approach for both the quality control of solid-phase combinatorial libraries and for the development of new synthetic sequences on solid-support. This review will summarize the development and application of analytical construct resins focusing on recent applications of the technology.