The present disclosure provides a method for planning a distribution network with reliability constraints based on a feeder corridor, including determining installation states of respective elements in the distribution network; determining an objective function, the objective function being an objective function of minimizing a total investment cost of the distribution network; obtaining fault-isolation-and-load-transfer time and fault recovery time in a case where the feeder segment of each feeder line that is contained in each feeder corridor fails; determining constraint conditions including reliability constraints; building a distribution network planning model according to the objective function and the constraints; and solving the distribution network planning model built to obtain optimal solutions as planning states and reliability indexes to plan the distribution network.

Disclosed is a method for identifying fragile lines in power grid based on electrical betweenness, which comprises the following steps: constructing the power grid into a network diagram, sequentially removing lines in the network diagram, and sorting the electrical betweenness of each line from large to small; constructing a nonlinear model of complex network cascade failure considering overload and weighted edges, and respectively performing two ways of removing lines for sorted electrical betweenness, namely sequentially removing preset proportion lines and sequentially removing all lines until no new lines are removed in the network diagram; obtaining a change of generator-load power before and after each line removal, and evaluating a severity of power grid failure based on the change of generator-load power, thus completing an identification of power grid fragile lines.

Methods, systems, and apparatus for generating a recipe for a concrete mixture, comprising: obtaining an optical characterization of a set of particles; determining, based on the optical characterization, physical characteristics of the set of particles; generating a multispherical approximation of the set of particles; selecting, based on the physical characteristics of the set of particles and from a database of performance rules, performance rules applicable to the set of particles; predicting performance of a proposed recipe for a concrete mixture formed from the set of particles by: determining a wet flowability rating of the proposed recipe based on the selected performance rules; and determining a dry packing rating of the proposed recipe based on the multispherical approximation; iteratively altering the proposed recipe and predicting performance of the altered proposed recipe until the predicted performance satisfies performance criteria to obtain a final recipe; and outputting the final recipe.

A data storage device including, in one implementation, a number of memory die packages disposed on a substrate within the data storage device. Each memory die package has a die density that includes one or more memory dies. The die density of each memory die package is configured to provide an even thermal distribution across the number of memory die packages. The respective die densities of two memory of the die packages are different from each other.

A method for generating a reliability performance model includes developing a reliability prediction machine learning model for predicting reliability performance of a product based on data obtained from manufacturing and testing of the product, and obtaining feature names for the reliability prediction machine learning model and their predictive power values. The feature names may correspond to features from the data obtained from manufacturing and testing of the product. The method may further include extracting a set of feature names corresponding to features having highest predictive power values from the feature names, and generating a reliability performance model using one or more model parameters derived from the set of feature names.

A method of evaluating a stress applied to components of a switchgear cabinet for sustaining an arc-flash with an arc-flash event simulation and energy transmission thereof is presented with steps comprising providing a location of the arc-flash in an internal volume of the switchgear cabinet, simulating the arc-flash as a local ambient boundary condition at the location of the arc flash with an input energy, diffusing the input energy in an air domain inside the switchgear cabinet, applying the input energy as a thermal history to specific arc-flash elements, multiplying the thermal history by specific heat to calculate energy units at the arc-flash, identifying a desired thermal energy magnitude and history of deposition and calibrating the desired thermal history to substantially match an estimated mechanical power generated by the arc-flash.

Method for predicting a stability of a steel cylinder including: in response to the steel cylinder tilting toward a seaward side at an arbitrary rotation point, obtaining a safety factor for the steel cylinder tilting toward the seaward side by determining an anti-tilt moment and a tilt moment when the steel cylinder is tilted to the seaward side; under a same rotation point, in response to determining that the steel cylinder is rotated toward a land side, determining the safety factor for the steel cylinder tilting toward the land side; taking a smaller safety factor as the safety factor under the rotation point; re-selecting a new rotation point, determining a safety factor corresponding to the new rotation point, and taking a safety factor with a smallest value among all rotation points as a final safety factor; and generating, based on the final safety factor, an anti-tilt instruction.

A method for use in a computing device, comprising: obtaining a pooling plan, the pooling plan identifying a respective pooling warehouse for at least a first article; receiving a first data set that identifies one or more second articles that can be substituted with the first article; receiving a second data set that identifies: (i) local demand for the first article at the pooling warehouse, (ii) local demand for the first article at one or more unplanned warehouses for the first article, and (iii) local demand for the second articles at one or more unplanned warehouses for the second articles; calculating an efficiency score for the pooling plan by evaluating a model for gauging an efficiency of the pooling plan, the model being evaluated based on the pooling plan, the first data set, and the second data set.

Provided is a computer-implemented method for controlling an operation of a technical system automatically, including at least the steps of: acquiring information about a modified configuration of at least one sub-system included in the technical system; generating a virtual model of the technical system including the at least one sub-system with the modified configuration for an evaluation of the operation; adjusting the virtual model to provide a control instruction for the operation of the technical system, wherein the adjusted virtual model is configured to compare an evaluation value acquired from the evaluation with a target requirement in a cryptographic and to derive the control instruction based on the comparison; and controlling the operation of the technical system based on the control instruction.

An inspection result analysis device includes a processor. The processor factorizes each first distribution of a first distribution group into a second distribution group and a weight group corresponding to the second distribution group by non-negative matrix factorization of the first distribution group. Each first distribution is a distribution of numerical data on a surface of a substrate, the numerical data resulting from an inspection of the substrate. The processor generates a fourth distribution by multiplying a third distribution by a weight corresponding to the third distribution to acquire a representative value of a numerical data group constituting the fourth distribution. The processor associates a fifth distribution with the third distribution when the representative value exceeds a threshold. The fifth distribution is one first distribution of the first distribution group. The third distribution is one second distribution of the second distribution group which is factorized from the fifth distribution.