How good are SPT schedules for fair optimality criteria

We consider the following scheduling setting: a set of n tasks have to be executed on a set of m identical machines. It is well known that shortest processing time (SPT) schedules are optimal for the problem of minimizing the total sum of completion times of the tasks. In this paper, we measure the quality of SPT schedules, from an approximation point of view, with respect to the following optimality criteria: sum of completion times per machine, global fairness, and individual fairness.     

New magnetic copper(II) coordination polymers with the polynitrile ligand (C[C(CN)2]3)2- and N-donor co-ligands

Reactions between CuCl2 and K2tcpd (tcpd2- = [C10N6]2- = (C[C(CN)2]3)2-) in the presence of neutral co-ligands (bpym = 2,2'-bipyrimidine, and tn = 1,3-diaminopropane) in aqueous solution yield the new compounds [Cu2(bpym)(tcpd)2(H2O)4] x 2H2O (1), [Cu(tn)(tcpd)] (2), and [Cu(tn)2(tcpd)] x H2O (3), which are characterized by X-ray crystallography and magnetic measurements. Compound 1 displays a one-dimensional structure in which the bpym ligand, acting with a bis-chelating coordination mode, leads to [Cu2(bpym)]4+ dinuclear units which are connected by two mu2-tcpd2- bridging ligands. Compound 2 consists of a three-dimensional structure generated by [Cu(tn)]2+ units connected by a mu4-tcpd2- ligand. The structure of 3 is made up of centrosymmetric planar [Cu(tn)]2+ units connected by a mu2-tcpd2- ligand leading to infinite zigzag chains. In compounds 1 and 3, the bridging coordination mode of the tcpd2- unit involves only two nitrogen atoms of one C(CN)2 wing, while in 2, this ligand acts via four nitrogen atoms of two C(CN)2 wings. Despite this difference, the structural features of the tcpd2- units in 1-3 are essentially similar. Magnetic measurements for compound 1 exhibit a maximum in the chi(m) vs T plot (at approximately 150 K) which is characteristic of strong antiferromagnetic exchange interactions between the Cu(II) metal ions dominated by the magnetic exchange through the bis-chelating bpym. The fit of the magnetic data to a dimer model gives J and g values of -90.0 cm(-1) and 2.12, respectively. For compounds 2 and 3 the thermal variations of the magnetic susceptibility show weak antiferromagnetic interactions between the Cu(II) metal ions that can be well reproduced with an antiferromagnetic regular S = 1/2 chain model that gives J values of -0.07(2) and -0.18(1) cm(-1) with g values of 2.12(1) and 2.13(1) for compounds 2 and 3, respectively (the Hamiltonian is written in all the cases as H = -2JS(a)S(b)).     

Diffusivity of whey protein and gum arabic in their coacervates

Structural properties of whey protein (WP)/gum arabic (GA) coacervates were investigated by measuring the diffusivity of WP and GA in their coacervate phase as a function of pH by means of three different complementary techniques. The combination of these measurements revealed new insights into the structure of coacervates. Nuclear magnetic resonance (NMR) measured the self-diffusion coefficient of the GA in the coacervate phase prepared at various pH values. Fluorescence recovery after photobleaching (FRAP) was measured using a confocal scanning laser microscope. The WP and GA were covalently labeled with two different dyes. The time of fluorescence recovery, related to the inverse of the diffusion coefficient, was evaluated from the measurements, and the diffusivity of the WP and GA on a long time scale could be individually estimated at each pH value. Diffusing wave spectroscopy (DWS) combined with transmission measurement was carried out in the coacervate phase, and the diffusion coefficient, corresponding to the averaged diffusion of all particles that scattered in the system, was calculated as a function of pH. Independently of the technique used, the results showed that the diffusion of the WP and GA within the coacervate phase was reduced as compared to a diluted biopolymer mixture. NMR, DWS, and FRAP measurements gave similar results, indicating that the biopolymers moved the slowest in the coacervate matrix at pH 4.0-4.2. It is assumed that the diffusion of the WP and GA is reduced because of a higher electrostatic interaction between the biopolymers. Furthermore, FRAP results showed that in the coacervate phase WP molecules diffused 10 times faster than GA molecules. This result is very relevant because it shows that WP and GA move independently in the liquid coacervate phase. Finally, DWS measurements revealed that the coacervate phase rearranged with time, as evidenced by a decrease of the diffusion coefficient and a loss of the turbidity of the sample. A more homogeneous transparent coacervate phase was obtained after a few days/weeks. Faster rearrangement was obtained at pH 3.0 and 3.5 than at higher pH values.     

The Addition of Microencapsulated or Nanoemulsified Bioactive Compounds Influences the Antioxidant and Antimicrobial Activities of a Fresh Cheese

The objective of this study was to compare the effects of the incorporation of microcapsules or nanoemulsions with Opuntia oligacantha on the quality of fresh cheese. Three treatments were established: Control, cheese with microcapsules (Micro), and cheese with nanoemulsion (Nano). The parameters evaluated were physicochemical (moisture, ash, fat, proteins, and pH), microbiological (mesophilic aerobic bacteria, mold–yeast, and total coliforms), functional (total phenols, flavonoids, and antioxidant capacity), and texture (hardness, elasticity, cohesion, and chewiness) during storage for 45 days at 4 °C. The results showed that adding microcapsules and nanoemulsion did not affect the physicochemical parameters of the cheese. Total coliforms decreased in all samples from the first days of storage (Control: 4.23 ± 0.12, Micro: 3.27 ± 0.02, and Nano: 2.68 ± 0.08 Log10 CFU), as well as aerobic mesophiles and mold–yeast counts. Regarding the functional properties, an increase in total phenols was observed in all treatments. The texture profile analysis showed that the addition of microcapsules and nanoemulsion influenced hardness (Control: 8.60 ± 1.12, Micro: 1.61 ± 0.31, and Nano: 3.27 ± 0.37 N). The antimicrobial effect was greater when nanoemulsions were added, while adding microcapsules influenced the antioxidant activity more positively.     

Coordination of a two-level supply chain with contracts

4OR - We consider the coordination of planning decisions of a single product in a supply chain composed of one supplier and one retailer, by using contracts. We assume that the retailer has the...     

Synthesis of double hydrophilic poly(ethylene oxide)‐b‐poly(2‐hydroxyethyl acrylate) by single‐electron transfer–living radical polymerization

In this study, the polymerization of (2‐hydroxyethyl) acrylate (HEA), in polar media, using Cu(0)‐mediated radical polymerization also called single‐electron transfer–living radical polymerization (SET‐LRP) is reported. The kinetics aspects of both the homopolymerization and the copolymerization from a poly(ethylene oxide) (PEO) macroinitiator were analyzed by ¹H NMR. The effects of both the ligand and the solvent were studied. The polymerization was shown to reach very high monomer conversions and to proceed in a well‐controlled fashion in the presence of tris[2‐(dimethylamino)ethyl]amine Me6‐TREN and N, N,N′, N″, N″‐pentamethyldiethylenetriamine (PMDETA) in dimethylsulfoxide (DMSO). SET‐LRP of HEA was also led in water, and it was shown to be faster than in DMSO. In pure water, Me₆‐TREN allowed a better control over the molar masses and polydispersity indices than PMDETA and TREN. Double hydrophilic PEO‐b‐PHEA block copolymers, exhibiting various PHEA block lengths up to 100 HEA units, were synthesized, in the same manner, from a bromide‐terminated PEO macroinitiator. © 2012 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem, 2012     

Phaseless Signal Recovery in Infinite Dimensional Spaces Using Structured Modulations

This paper considers the recovery of continuous signals in infinite dimensional spaces from the magnitude of their frequency samples. It proposes a sampling scheme which involves a combination of oversampling and modulations with complex exponentials. Sufficient conditions are given such that almost every signal with compact support can be reconstructed up to a unimodular constant using only its magnitude samples in the frequency domain. Finally it is shown that an average sampling rate of four times the Nyquist rate is enough to reconstruct almost every time-limited signal.     

Putting a spin on LA-ICP-MS analysis combined to isotope dilution

The determination of Zn, Sr, Ba, and Pb in solid samples has been achieved by laser ablation inductively coupled plasma isotope dilution mass spectrometry using a spinning platform. The fast rotation of a sample and an isotopically enriched spike placed close together on a sample holder allowed performing the isotope dilution directly inside the ablation cell. The proportion of spike versus sample of the aerosol mixture obtained has been determined online by isotope dilution in order to correct for differences in ablation rate although both materials were placed on the axis of rotation of the motor. Homogeneous, time-stable, and reusable samples were prepared by lithium borate fusion. A unique isotopically enriched spike glass was used to analyze four Standard Reference Materials of different matrix (after a simple polishing): two sediments Standard Reference Material (SRM) 1944 and SRM 2702 and two soils SRM 2586 and SRM 2711a. The proposed method yielded mass fractions with a deviation from the certified value usually lower than 12 % and a precision of less than 9 % RSD (except for Zn in SRM 2586 and 2711a). Although direct spiking of the solid before fusion could presumably provide better isotopic mixing, the presented methodology allows the reuse of the spike glass (thus, decreasing drastically the cost of the analysis) and is relatively faster because the spike does not need to be weighted, added, and evaporated each time. These results demonstrate the potential of this newly developed method for fast analysis of solid samples using isotope dilution at a low cost.     

An in situ electrochemical cell for Q- and W-band EPR spectroscopy

A simple design for an in situ, three-electrode spectroelectrochemical cell is reported that can be used in commercial Q- and W-band (ca. 34 and 94 GHz, respectively) electron paramagnetic resonance (EPR) spectrometers, using standard sample tubing (1.0 and 0.5 mm inner diameter, respectively) and within variable temperature cryostat systems. The use of the cell is demonstrated by the in situ generation of organic free radicals (quinones and diimines) in fluid and frozen media, transition metal ion radical anions, and on the enzyme nitric oxide synthase reductase domain (NOSrd), in which a pair of flavin radicals are generated.