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.     

Method optimization for the determination of four mercury species by micro-liquid chromatography-inductively coupled plasma mass spectrometry coupling in environmental water samples

A method based on the coupling microHPLC-microneb-ICPMS has been developed for Hg(II), MeHg⁺, EtHg⁺ and PhHg⁺ species. Gradient elution using methanol and l-cysteine at pH 3.0 allowed the chromatographic separation of all species in less than 13 min (total analysis time 15 min). The direct coupling of microLC to ICPMS through a Micromist nebulizer permits the analysis of environmental water without sample pretreatment and derivatization steps. Nebulizer type, organic modifier and column length were the main parameters tested. The methanol content and pH of the mobile phase greatly affected the retention time and sensitivity of the method. Key factors to obtain high signal to noise ratio, at concentrations below 1 μg L⁻¹, were found to be the nebulization step and traces of Hg present in the complexing agent. A detailed optimization of carrier and make up gas flow rates have enabled the nebulization of the methanol gradient elution with good mass transport efficiency, low organic solvent loading into the plasma and excellent precision.The performance of the microHPLC-microneb-ICPMS method developed was evaluated on a surface water sample filtered (0.22 μm) and spiked with 0.5 μg L⁻¹ (as Hg) of each species. Precision (R.S.D., n = 6) for all species of Hg varied from 0.5 to 2.1%. Detection limit, defined as three times the standard deviation (n = 6), ranged from 8 ng L⁻¹ for EtHg⁺ to 32 ng L⁻¹ for PhHg⁺ and was noticeably lower than those reported in previous LC-based methods. Accuracy was suitable with recoveries ranging from 85 to 100% when tested at two levels (0.5 and 10 μg L⁻¹) in groundwater samples. Recovery was matrix affected when water samples of high salinity (depurated wastewater and seawater) were used.     

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).     

Isotope pattern deconvolution-tandem mass spectrometry for the determination and confirmation of diclofenac in wastewaters

Isotope dilution mass spectrometry (IDMS) based on isotope pattern deconvolution (IPD) has been applied here to MS/MS (QqQ) in order to carry out the quantification and confirmation of organic compounds in complex matrix water samples without the use of a methodological IDMS calibration graph. In this alternative approach, the isotope composition of the spiked sample is measured after fragmentation by SRM and deconvoluted into its constituting components (molar fractions of natural abundance and labeled compound) by multiple linear regression (IPD). The procedure has been evaluated for the determination of the pharmaceutical diclofenac in effluent and influent urban wastewaters and fortified surface waters by UHPLC (ESI) MS/MS using diclofenac-d₄ as labeled compound. Calculations were performed acquiring a part and the whole fragment cluster ion, achieving in all cases recoveries within 90–110% and coefficients of variation below 5% for all water samples tested. In addition, potential false negatives arising from the presence of diclofenac-d₂ impurities in the labeled compound were avoided when the proposed approach was used instead of the most usual IDMS calibration procedure. The number of SRM transitions measured was minimized to three to make possible the application of this alternative technique in routine multi-residue analysis.     

Application of the Azomethine-H method to the determination of boron in workplace atmospheres from ceramic factories

The determination of boron in airborne particulates from ceramic factories workplaces has been investigated. Samples containing raw or fritted material powder from ceramic factories have been digested in Erlenmeyer flasks using nitric acid as reagent. Analysis was performed by the Azomethine-H method. Recoveries for different raw materials were quantitative, whereas for fritted materials they widely depend on their composition. Relative standard deviations for all materials tested were lower than 8%. The accuracy of the procedure was tested by the addition of known amounts of boron to different types of materials. Standard addition calibrations proved that there was no influence of the matrix. In workplace atmospheres of ceramic industries boron was usually present, in the environment of enamel factories with levels higher than the recommended exposure value.