Models for capacitated lot-sizing problem with backlogging,setup carryover and crossover

Setup operations are significant in some production environments. It is mandatory that their production plans consider some features, as setup state conservation across periods through setup carryover and crossover. The modelling of setup crossover allows more flexible decisions and is essential for problems with long setup times. This paper proposes two models for the capacitated lot-sizing problem with backlogging and setup carryover and crossover. The first is in line with other models from the literature, whereas the second considers a disaggregated setup variable, which tracks the starting and completion times of the setup operation. This innovative approach permits a more compact formulation. Computational results show that the proposed models have outperformed other state-of-the-art formulation.     

Stability and convergence of the spectral Lagrange-Galerkin method for mixed periodic/non-periodic convection-dominated diffusion problems

We present a convergence analysis of the spectral Lagrange-Galerkinmethod for mixed periodic/non-periodic convection-diffusionproblems. The scheme is unconditionally stable, independentof the diffusion coefficient, even in the case when numericalquadrature is used. The theoretical predictions are illustratedby a series of numerical experiments. For the periodic case,our results present a significant improvement on those givenby Süli & Ware (1991) SIAM J. Numer.Anal.28, 423-445).     

On the mechanism of dimethylarginine dimethylaminohydrolase inactivation by 4-halopyridines

Small molecules capable of selective covalent protein modification are of significant interest for the development of biological probes and therapeutics. We recently reported that 2-methyl-4-bromopyridine is a quiescent affinity label for the nitric oxide controlling enzyme dimethylarginine dimethylaminohydrolase (DDAH) (Johnson, C. M.; Linsky, T. W.; Yoon, D. W.; Person, M. D.; Fast, W. J. Am. Chem. Soc. 2011, 133, 1553-1562). Discovery of this novel protein modifier raised the possibility that the 4-halopyridine motif may be suitable for wider application. Therefore, the inactivation mechanism of the related compound 2-hydroxymethyl-4-chloropyridine is probed here in more detail. Solution studies support an inactivation mechanism in which the active site Asp66 residue stabilizes the pyridinium form of the inactivator, which has enhanced reactivity toward the active site Cys, resulting in covalent bond formation, loss of the halide, and irreversible inactivation. A 2.18 ? resolution X-ray crystal structure of the inactivated complex elucidates the orientation of the inactivator and its covalent attachment to the active site Cys, but the structural model does not show an interaction between the inactivator and Asp66. Molecular modeling is used to investigate inactivator binding, reaction, and also a final pyridinium deprotonation step that accounts for the apparent differences between the solution-based and structural studies with respect to the role of Asp66. This work integrates multiple approaches to elucidate the inactivation mechanism of a novel 4-halopyridine "warhead," emphasizing the strategy of using pyridinium formation as a "switch" to enhance reactivity when bound to the target protein.     

Subpicosecond electro-optic measurement of relativistic electron pulses

Time-resolved measurements of the transverse electric field associated with relativistic electron bunches are presented. Using an ultrafast electro-optic sensor close to the electron beam, the longitudinal profile of the electric field was measured with subpicosecond time resolution and without time-reversal ambiguity. Results are shown for two cases: inside the vacuum beam line in the presence of wake fields, and in air behind a beryllium window, effectively probing the near-field transition radiation. Especially in the latter case, reconstruction of the longitudinal electron bunch shape is straightforward.