Validating Sample Average Approximation Solutions with Negatively Dependent Batches

Sample-average approximations (SAA) are a practical means of finding approximate solutions of stochastic programming problems involving an extremely large (or infinite) number of scenarios. SAA can also be used to find estimates of a lower bound on the optimal objective value of the true problem which, when coupled with an upper bound, provides confidence intervals for the true optimal objective value and valuable information about the quality of the approximate solutions. Specifically, the lower bound can be estimated by solving multiple SAA problems (each obtained using a particular sampling method) and averaging the obtained objective values. State-of-the-art methods for lower-bound estimation generate batches of scenarios for the SAA problems independently. In this paper, we describe sampling methods that produce negatively dependent batches, thus reducing the variance of the sample-averaged lower bound estimator and increasing its usefulness in defining a confidence interval for the optimal objective value. We provide conditions under which the new sampling methods can reduce the variance of the lower bound estimator, and present computational results to verify that our scheme can reduce the variance significantly, by comparison with the traditional Latin hypercube approach

Constructing the Bridge from Isotropic to Anisotropic Pitches for Preparing Pitch-Based Carbon Fibers with Tunable Structures and Properties

Synthetic naphthalene pitches (SNPs) with isotropy and anisotropy were prepared by a simple thermal polycondensation method to fabricate pitch-based carbon fibers. The structural characteristic, thermal stability, phase-separation behavior, and melt-spinnability of the SNPs and the structural properties of the derived carbon fibers were systematically investigated. The results show that spinnable SNPs with controllable mesophase contents ranging from 0 to 100 vol % and softening points (210–290 °C) could be easily obtained by a nitrogen-bubbling treatment to improve their thermal stability and melt-spinnability by avoiding the phase separation of liquid crystal (LC) in the pitch. An experimental phase diagram of spinnability and mesophase content is newly proposed for predicting the spinnability of a mesophase-containing pitch. The LC has a significant influence not only on the constituents, structure, and physical properties of the SNPs but also on the final structure and properties of the corresponding pitch-based carbon fibers. The low ash content (less than 0.15 wt %) in the pitch precursor is found to have no obvious effect on the pitch spinnability and the mechanical properties of derivative large-diameter carbon fibers

Tunable control of the hydrophilicity and wettability of conjugated polymers by a postpolymerization modification approach.

A facile method to prepare hydrophilic polymers by a postpolymerization nucleophillic aromatic substitution reaction of fluoride on an emissive conjugated polymer (CP) backbone is reported. Quantitative functionalization by a series of monofunctionalized ethylene glycol oligomers, from dimer to hexamer, as well as with high molecular weight polyethylene glycol is demonstrated. The length of the ethylene glycol sidechains is shown to have a direct impact on the surface wettability of the polymer, as well as its solubility in polar solvents. However, the energetics and band gap of the CPs remain essentially constant. This method therefore allows an easy way to modulate the wettability and solubility of CP materials for a diverse series of applications

Gas hydrates distribution in the Shenhu Area, northern South China Sea: comparisons between the eight drilling sites with gas-hydrate petroleum system

The results of the first marine gas hydrate drilling expedition of Guangzhou Marine Geological Survey (GMGS-1) in northern continental slope of the South China Sea revealed a variable distribution of gas hydrates in the Shenhu area. In this study, comparisons between the eight sites with gas-hydrate petroleum system were used to analyze and re-examine hydrate potential. In the Shenhu gas hydrate drilling area, all the sites were located in a suitable low-temperature, high-pressure environment. Biogenic and thermogenic gases contributed to the formation of hydrates. Gas chimneys and some small-scale faults (or micro-scale fractures) compose the migration pathways for gas bearing fluids. Between these sites, there are three key differences: the seafloor temperatures and pressures; geothermal gradient and sedimentary conditions. Variations of seafloor temperatures and pressures related to water depths and geothermal gradient would lead to changes in the thickness of gas hydrate stability zones. Although the lithology and grain size of the sediments were similar, two distinct sedimentary units were identified for the first time through seismic interpretation, analysis of deep-water sedimentary processes, and the Cm pattern (plotted one-percentile and median values from grain-size analyses), implying the heterogeneous sedimentary conditions above Bottom Simulating Reflectors (BSRs). Based on the analyses of forming mechanisms and sedimentary processes, these two fine-grained sedimentary units have different physical properties. Fine-grained turbidites (Unit I) with thin-bedded chaotic reflectors at the bottom acted as the host rocks for hydrates; whereas, finegrained sediments related to soft-sediment deformation (Unit II) characterized by thick continuous reflectors at the top would serve as regional homogeneous caprocks. Low-flux methane that migrated upwards along chimneys could be enriched preferentially in fine-grained turbidites, resulting in the formation of hydrates within Unit I.However, overlying fine-grained sediments related to soft-sediment deformation would hinder the further migration of gases/fluids, causing the extremely low methane concentration in Unit I. Three of the eight sites with hydrates from recovered core samples were located within sedimentary Unit I, and the other five sites were not. Because, the most significant difference between the eight sites is the nature and type of sedimentary deposits above the BSRs, it is suggested therefore that sedimentary conditions are the crucial factor controlling the formation and occurrence of gas hydrates in the Shenhu gas hydrate drilling area, northern South China Sea

Gas hydrates distribution in the Shenhu Area, northern South China Sea: comparisons between the eight drilling sites with gas-hydrate petroleum system

The results of the first marine gas hydrate drilling expedition of Guangzhou Marine Geological Survey (GMGS-1) in northern continental slope of the South China Sea revealed a variable distribution of gas hydrates in the Shenhu area. In this study, comparisons between the eight sites with gas-hydrate petroleum system were used to analyze and re-examine hydrate potential. In the Shenhu gas hydrate drilling area, all the sites were located in a suitable low-temperature, high-pressure environment. Biogenic and thermogenic gases contributed to the formation of hydrates. Gas chimneys and some small-scale faults (or micro-scale fractures) compose the migration pathways for gas bearing fluids. Between these sites, there are three key differences: the seafloor temperatures and pressures; geothermal gradient and sedimentary conditions. Variations of seafloor temperatures and pressures related to water depths and geothermal gradient would lead to changes in the thickness of gas hydrate stability zones. Although the lithology and grain size of the sediments were similar, two distinct sedimentary units were identified for the first time through seismic interpretation, analysis of deep-water sedimentary processes, and the Cm pattern (plotted one-percentile and median values from grain-size analyses), implying the heterogeneous sedimentary conditions above Bottom Simulating Reflectors (BSRs). Based on the analyses of forming mechanisms and sedimentary processes, these two fine-grained sedimentary units have different physical properties. Fine-grained turbidites (Unit I) with thin-bedded chaotic reflectors at the bottom acted as the host rocks for hydrates; whereas, finegrained sediments related to soft-sediment deformation (Unit II) characterized by thick continuous reflectors at the top would serve as regional homogeneous caprocks. Low-flux methane that migrated upwards along chimneys could be enriched preferentially in fine-grained turbidites, resulting in the formation of hydrates within Unit I.However, overlying fine-grained sediments related to soft-sediment deformation would hinder the further migration of gases/fluids, causing the extremely low methane concentration in Unit I. Three of the eight sites with hydrates from recovered core samples were located within sedimentary Unit I, and the other five sites were not. Because, the most significant difference between the eight sites is the nature and type of sedimentary deposits above the BSRs, it is suggested therefore that sedimentary conditions are the crucial factor controlling the formation and occurrence of gas hydrates in the Shenhu gas hydrate drilling area, northern South China Sea

Ageing in rural China: migration and care circulation

This article applies the concept of care circulation (Baldassar and Merla, Transnational families, migration and the circulation of care: understanding mobility and absence in family life, 2013) to the processes involved in the care of old people in rural China,an area which has hitherto been predominantly located in a quantitatively based intergenerational transfer framework. Drawing upon a qualitative study of rural families in the context of rural to urban migration, this article examines the multidirectional and asymmetrical exchanges of caregiving and care-receiving and seeks to provide a more nuanced understanding of the impact of migration upon ageing and familial care in rural China. First, going beyond a unidirectional flow or two-way transfer, this article reveals that care circulates between different family members, in different locations, to differing degrees, over the life course. This circulation framework enables an examination of intra-generational dynamics as well as intergenerational relations. Second, this article draws attention to the mediating factors that impact upon the ways in which adult children care for the older generation. It reveals how the employment status of migrating adult children, the temporal dimension of migration and family life cycle of migrating children as well as family relations between the older generation and adult child generation are critical factors. These factors also contribute to the quality of care provided. Finally, while confirming existing scholarship that gender is an important dimension in structuring old age support in rural China, this article calls for a more differentiated approach among generations of women and between regions, revealing the ways in which local migration history interacts with intergenerational dynamics to determine the cohort of women that endure the greatest burden of care

A New Approach for Analytic Amplitude Calculations

We present a method for symbolic calculation of Feynman amplitudes for processes involving both massless and massive fermions. With this approach fermion strings in a specific amplitude can be easily evaluated and expressed as basic Lorentz scalars. The new approach renders the symbolic calculation of some complicated physical processes more feasible and easier, especially with the assistance of algebra manipulating codes for computer.Comment: LaTex, no figure, to appear in PR