A Novel Integer Linear Programming Formulation for Job-Shop Scheduling Problems

<a></a>Job-shop scheduling is an important but difficult problem arising in low-volume high-variety manufacturing. It is usually solved at the beginning of each shift with strict computational time requirements. To obtain near-optimal solutions with quantifiable quality within strict time limits, a direction is to formulate them in an Integer Linear Programming (ILP) form so as to take advantages of widely available ILP methods such as Branch-and-Cut (B&C). Nevertheless, computational requirements for ILP methods on existing ILP formulations are high. In this paper, a novel ILP formulation for minimizing total weighted tardiness is presented. The new formulation has much fewer decision variables and constraints, and is proven to be tighter as compared to our previous formulation. For fast resolution of large problems, our recent decomposition-and-coordination method “Surrogate Absolute-Value Lagrangian Relaxation” (SAVLR) is enhanced by using a 3-segment piecewise linear penalty function, which more accurately approximates a quadratic penalty function as compared to an absolute-value function. Testing results demonstrate that our new formulation drastically reduces the computational requirements of B&C as compared to our previous formulation. For large problems where B&C has difficulties, near-optimal solutions are efficiently obtained by using the enhanced SAVLR under the new formulation.<br>

A Novel Integer Linear Programming Formulation for Job-Shop Scheduling Problems

<a></a>Job-shop scheduling is an important but difficult problem arising in low-volume high-variety manufacturing. It is usually solved at the beginning of each shift with strict computational time requirements. To obtain near-optimal solutions with quantifiable quality within strict time limits, a direction is to formulate them in an Integer Linear Programming (ILP) form so as to take advantages of widely available ILP methods such as Branch-and-Cut (B&C). Nevertheless, computational requirements for ILP methods on existing ILP formulations are high. In this paper, a novel ILP formulation for minimizing total weighted tardiness is presented. The new formulation has much fewer decision variables and constraints, and is proven to be tighter as compared to our previous formulation. For fast resolution of large problems, our recent decomposition-and-coordination method “Surrogate Absolute-Value Lagrangian Relaxation” (SAVLR) is enhanced by using a 3-segment piecewise linear penalty function, which more accurately approximates a quadratic penalty function as compared to an absolute-value function. Testing results demonstrate that our new formulation drastically reduces the computational requirements of B&C as compared to our previous formulation. For large problems where B&C has difficulties, near-optimal solutions are efficiently obtained by using the enhanced SAVLR under the new formulation.<br>

The Bioequivalence of Emulsified Isoflurane With a New Formulation of Emulsion: A Single-Center, Single-Dose, Double-Blinded, Randomized, Two-Period Crossover Study

Background: Emulsified isoflurane is a novel intravenous general anesthetic obtained by encapsulating isoflurane molecules into emulsion. The formulation of emulsion has been improved according to the latest regulations of the China Food and Drug Administration. This study was designed to compare the bioequivalence of the new and previous formulation emulsion of isoflurane.Methods: In a single-center, single-dose, double-blinded, randomized, two-period crossover study, healthy volunteers received intravenous injection of 30 mg/kg of isoflurane with either previous formulation of emulsion isoflurane (PFEI) or new formulation of emulsion isoflurane (NFEI). Arterial and venous blood samples were obtained for geometric mean test/reference ratios of Cmax, AUC0-t, and AUC0-∞, as well as their 90% confidence interval (CI90) as the primary outcome. The secondary outcomes were safety measurements such as vital signs, 12-lead electrocardiography, adverse effects, and laboratory tests; and anesthesia efficacy was assessed by Modified Observer’s Assessment of Alertness/Sedation (MOAA/S) score, bispectral index (BIS), and loss/recovery of eyelash reflex.Results: 24 subjects were eligible, of which 21 completed the whole experiment (NFEI n = 21, PFEI n = 23). Arterial geometric mean test/reference ratios of Cmax, AUC0-t, and AUC0-∞ were 104.50% (CI90 92.81%–117.65%), 108.23% (94.51%–123.96%), and 106.53% (93.94%∼120.80%), respectively. The most commonly seen adverse effects for NFEI and PFEI were injection pain (38.1% vs. 34.8%), hypotension (19.0% vs. 13.0%), apnea (14.3% vs. 17.4%), and upper airway obstruction (14.3% vs. 13.0%). No severe adverse effect was observed. The effectiveness of general anesthesia was similar between the two formulations.Conclusion: The CI90 of Cmax, AUC0-t, AUC0-∞, NFEI, and PFEI were within the range of 80%–125%, suggesting bioequivalence between NFEI and PFEI. The safety and anesthesia effectiveness were also similar.

Detailed Description of Legal Experiment

The phenomenon of a legal experiment and current problems that are of their nature are researched here. The notion of law is based on the instrumental approach and identified as the new tendency of law-making development which lies in necessity to identify possible effects that a regulatory act can have towards social relationships. It is alleged that all jurisprudence practice is made up of estimation procedures. The own interpretation of a “legal effect” is given here. It is identified that some rules of law are not always possible to predict their influence, therefore those who are given law-making authority have to use the mechanism of a legal experiment in their practice. The approaches to understanding of legal experiment that there are in the theory of state and law. They are set out and analyzed extensively. The definition of legal experiment from existing legislation was explored. The approach to understand the legal experiment was formulated. On the one hand, this approach accumulates all previous formulation in this area, but the other hand it proposes new view of nature legal experiment. In the source base has been invested the regulation of existing domestic legislation and also doctrinal writings in this area including foreign-language. There is innovativeness to research the legal experiment here. Innovativeness lies in the integrated vision of nature of legal experiment. It has great mythological importance to all legal science. The conclusion of understanding of legal experiment as a method of legal prediction has been done. There was defined the place of legal experiment in the semantic row of the theory of state and law. The nature of understanding of legal experiment has been determined on the basis of author approach.

Pseudo Bond Graph System Modelling of Electric Air Compressors With Energy Recovery for Fuel Cell Applications

In this paper, the novel machine type of an electric air compressor (EAC) for fuel cell applications is investigated and simulated using a Pseudo Bond Graph (PBG) approach. Initially, the system along with its miscellaenous components is derived in the Pseudo Bond Graph notation. Subsequently, the multiphysical connections of fluid, thermal and electrical domains are highlighted. In addition, a derivation for an extended definition of the Pseudo Bond Graph theory’s inertia I element is presented. In contrast to the previous formulation, it takes into account the effects of compressibility which were previously neglected. The simulations are carried out using in-house simulation tool ASTOR (AircraftEngine Simulation for Transient Operation Research) and feature different transient acceleration and deceleration manoeuvres with varying manoeuvre duration. It is shown that manoeuvre duration significantly influences transient performance such as the surge margin which is found to decrease by up to 9% in comparison to the steady operating line. In addition, deceleration is identified as the most critical operating condition.

Accounting for Wood, Foliage Properties, and Laser Effective Footprint in Estimations of Leaf Area Density from Multiview-LiDAR Data

The spatial distribution of Leaf Area Density (LAD) in a tree canopy has fundamental functions in ecosystems. It can be measured through a variety of methods, including voxel-based methods applied to LiDAR point clouds. A theoretical study recently compared the numerical errors of these methods and showed that the bias-corrected Maximum Likelihood Estimator was the most efficient. However, it ignored (i) wood volumes, (ii) vegetation sub-grid clumping, (iii) the instrument effective footprint, and (iv) was limited to a single viewpoint. In practice, retrieving LAD is not straightforward, because vegetation is not randomly distributed in sub-grids, beams are divergent, and forestry plots are sampled from more than one viewpoint to mitigate occlusion. In the present article, we extend the previous formulation to (i) account for both wood volumes and hits, (ii) rigorously include correction terms for vegetation and instrument characteristics, and (iii) integrate multiview data. Two numerical experiments showed that the new approach entailed reduction of bias and errors, especially in the presence of wood volumes or when multiview data are available for poorly-explored volumes. In addition to its conciseness, completeness, and efficiency, this new formulation can be applied to multiview TLS—and also potentially to UAV LiDAR scanning—to reduce errors in LAD estimation.

Wind Turbine Clutter Mitigation via Nonconvex Regularizers and Multidimensional Processing

This paper generalizes a previous formulation of signal separation problem for dynamic wind turbine clutter mitigation at weather radar systems. In this modified formulation, we use nonconvex regularizers together with multichannel overlapping group shrinkage (MOGS) to penalize weather signals and adopt multidimensional processing. We show the restored weather signals in plan position indicator (PPI) format and, to demonstrate the improvement, compare them with the ones produced by the previous method in reflectivity, spectral width, and Doppler velocity estimates of weather data. The improvement results from a better characterization of the sparsities of the weather radar returns. During the course of experiments, we observe that the proposed method successfully mitigates the wind turbine clutter and dramatically increases the signal-to-clutter ratio, even for different weather and wind turbine signatures. In addition, when the wind turbine clutter is weak in the mixture, our algorithm manages to attenuate the ground clutters and produces clutter-free weather signals favorable for further processing.

On the robustness of emptying filling boxes to sudden changes in the wind

We determine the smallest instantaneous increase in the strength of an opposing wind that is necessary to permanently reverse the forward displacement flow that is driven by a two-layer thermal stratification. With an interpretation in terms of the flow’s energetics, the results clarify why the ventilation of a confined space with a stably stratified buoyancy field is less susceptible to being permanently reversed by the wind than the ventilation of a space with a uniform buoyancy field. For large opposing wind strengths we derive analytical upper and lower bounds for the system’s marginal stability, which exhibit a good agreement with the exact solution, even for modest opposing wind strengths. The work extends a previous formulation of the problem (Lishman & Woods, Build. Environ., vol. 44 (4), 2009, pp. 666–673) by accounting for the transient dynamics and energetics associated with the homogenisation of the interior, which prove to play a significant role in buffering temporal variations in the wind.

Improved Dissolution and Oral Bioavailability of Valsartan Using a Solidified Supersaturable Self-Microemulsifying Drug Delivery System Containing Gelucire® 44/14

To improve the dissolution and oral bioavailability of valsartan (VST), we previously formulated a supersaturable self-microemulsifying drug delivery system (SuSMED) composed of Capmul® MCM (oil), Tween® 80 (surfactant), Transcutol® P (cosurfactant), and Poloxamer 407 (precipitation inhibitor) but encountered a stability problem (Transcutol® P-induced weight loss in storage) after solidification. In the present study, replacing Transcutol® P with Gelucire® 44/14 resulted in a novel SuSMED formulation, wherein the total amount of surfactant/cosurfactant was less than that of the previous formulation. Solidified SuSMED (S-SuSMED) granules were prepared by blending VST-containing SuSMED with selective solid carriers, L-HPC and Florite® PS-10, wherein VST existed in an amorphous state. S-SuSMED tablets fabricated by direct compression with additional excipients were sufficiently stable in terms of drug content and impurity changes after 6 months of storage at accelerated conditions (40 ± 2 °C and 75 ± 5% relative humidity). Consequently, enhanced dissolution was obtained (pH 1.2, 2 h): 6-fold for S-SuSMED granules against raw VST; 2.3-fold for S-SuSMED tablets against Diovan® (reference tablet). S-SuSMED tablets increased oral bioavailability in rats (10 mg/kg VST dose): approximately 177–198% versus raw VST and Diovan®. Therefore, VST-loaded S-SuSMED formulations might be good candidates for practical development in the pharmaceutical industry.

Reformulating the Second Law

The current formulation of the second law is flawed since it does not specify the causal relations between the outcomes of theory assessment and the actual acceptance/unacceptance of a theory; it merely tells us that a theory was assessed by the method employed at the time. We propose a new formulation of the second law: “If a theory satisfies the acceptance criteria of the method actually employed at the time, then it becomes accepted into the mosaic; if it does not, it remains unaccepted; if it is inconclusive whether the theory satisfies the method, the theory can be accepted or not accepted.” This new formulation makes the causal connection between theory assessment outcomes and cases of theory acceptance/unacceptance explicit. Also, this new formulation is not a tautology because it forbids certain logically possible scenarios, such as a theory satisfying the method of the time yet remaining unaccepted. Finally, we outline what inferences an observational scientonomist can make regarding theory assessment outcomes from the record of accepted theories.Suggested Modifications[Sciento-2017-0004]:Accept the following reformulation of the second law:The second law: if a theory satisfies the acceptance criteria of the method employed at the time, it becomes accepted into the mosaic; if it does not, it remains unaccepted; if assessment is inconclusive, the theory can be accepted or not accepted.Accept the following definitions of theory assessment outcomes:Outcome: satisfied ≡ the theory is deemed to conclusively meet the requirements of the method employed at the time.Outcome: not satisfied ≡ the theory is deemed to conclusively not meet the requirements of the method employed at the time.Outcome: inconclusive ≡ it is unclear whether or not the requirements of the method employed at the time are met.Accept the following ontology of theory assessment outcomes:The three possible outcomes of theory assessment are “satisfied”, “not satisfied”, and “inconclusive”.Accept the following redefinition of employed method:Employed method ≡ a method is said to be employed if its requirements constitute the actual expectations of the community.Reject:The previous formulation of the second law.The previous definitions of theory assessment outcomes.The previous ontology of theory assessment outcomes.The previous definition of employed method. [Sciento-2017-0005]:Contingent upon the acceptance of the preceding modification [Sciento-2017-0004], accept that the new second law is not a tautology. [Sciento-2017-0006]:Contingent upon the acceptance of modification [Sciento-2017-0004], accept the following set of inferences of theory assessment outcomes from the acceptance or unacceptance of a single contender (see text).Also accept the following set of inferences of theory assessment outcomes from the acceptance or unacceptance of two contender theories (see text).