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59 results about "Column generation" patented technology

Column generation or delayed column generation is an efficient algorithm for solving larger linear programs. The overarching idea is that many linear programs are too large to consider all the variables explicitly. The premise is that most of the variables will be non-basic and assume a value of zero in the optimal solution. Because of this, only a subset of variables need to be considered in theory when solving the problem. Column generation leverages this idea to generate only the variables which have the potential to improve the objective function—that is, to find variables with negative reduced cost (assuming without loss of generality that the problem is a minimization problem).

Optimizing database query by generating, determining the type of derived predicate based on monotonicity of the column generating expression for each remaining inequality predicate in the list of unexamined predicates

Database Management Systems (DBMS) manage data stored in tables and process database queries against that stored data. The database queries typically specify search conditions (that is, ‘predicates’) for qualifying database search results to be output by the DBMS. When a database table definition or query includes a given predicate having an expression that operates on a column of a table, it is useful to know whether the expression is monotonic. If the expression is determined to be monotonic, the present invention provides operations for deriving a new predicate from the given predicate for use in a new database query. Advantageously, the use of a new or derived predicate improves operational efficiency of the DBMS. Operation is provided for detecting a type of monotonicity related to the expression, and uses the detected type of monotonicity for generating the derived predicate.
Owner:IBM CORP

Method for production design and operations scheduling for plate design in the steel industry

An automated method optimally designs plates to satisfy an order book at a steel plant so as to maximize the yield of the plates designed while using capacity fully to reduce the production of surplus slabs or plates, and satisfy order deadlines. Our method consists of four main components: (1) mother plate design, (2) slab design, (3) cast design, and (4) material allocation. A column generation framework for mother plate design is used where the problem is decomposed into a master problem and a subproblem. The master problem is used to evaluate packing patterns that should be used to fulfill the order book and the subproblem generates potential one-dimensional and two-dimensional feasible packing patterns as candidates to be evaluated by the master problem. The solution to the master problem produces a list of mother plates that need to be produced. These mother plates are transformed into candidate slabs, which are represented via an interval graph. The maximal cliques in the interval graph—maximal subsets of slabs which can be grouped together to form casts—are enumerated to generate candidate casts, from which redesign information is sent to the plate/slab design processes. The cast design process is integrated with the plate design/slab design processes in the sense that information is passed from the plate/slab design processes to the cast design process and vice versa. Finally, our method has a material allocation component to assign order plates to inventory mother-plates and slabs.
Owner:GOOGLE LLC

Collaborative design method and system for parent plate and plate blank of medium plate oriented to production order combined optimization

The invention provides a collaborative design method and system for a parent plate and a plate blank of a medium plate oriented to production order combined optimization. The method comprises the following steps: specific to a sub-plate one-dimensional combined optimization design in a medium plate production order, building an optimized control model under the consideration of the constraints of complicated production processes, equipment and the like specific to the aim of minimizing residual materials and material loss, deciding a sub-plate combination way, the length of the parent plate and the length of the plate blank, selectively coding the plate blank section of each order after orders are received, designing a decoding method based on column generation, and generating plate blank and parent plate design schemes; then, searching for a better code string in neighborhood through repeated iterations based on tabu search; and when an end condition is satisfied, selecting a current optimal code string for evaluation and adjustment, and outputting corresponding plate blank and parent plate design results lastly. A system controller controls the design processes of the parent plate and the plate blank of the medium plate according to the method. Through adoption of the collaborative design method and system, residual parent plates and material loss are reduced, and the production demand can be met better.
Owner:CHONGQING UNIV

Method, system and device for scheduling sensor nodes in wireless sensor network

The embodiment of the invention discloses a method, a system and a device for scheduling sensor nodes in a wireless sensor network. The method comprises the following steps: acquiring a network connection relationship and a target coverage relationship of each sensor node; acquiring an output result by a column generating method according to the network connection relationship, the target coveragerelationship and a coverage requirement, wherein the output result comprises the number of time slices required by different working modes; acquiring a schedule table according to the output result;and broadcasting the schedule table in the wireless sensor network to schedule each sensor node. The method, the system and the device implement the scheduling of the sensor nodes in the wireless sensor network by the column-based generating method, and reduce power consumption required by the wireless sensor network to monitor target nodes.
Owner:HUAWEI TECH CO LTD +1

Method for production design and operations scheduling for plate design in the steel industry

An automated method optimally designs plates to satisfy an order book at a steel plant so as to maximize the yield of the plates designed while using capacity fully to reduce the production of surplus slabs or plates, and satisfy order deadlines. Our method consists of four main components: (1) mother plate design, (2) slab design, (3) cast design, and (4) material allocation. A column generation framework for mother plate design is used where the problem is decomposed into a master problem and a subproblem. The master problem is used to evaluate packing patterns that should be used to fulfill the order book and the subproblem generates potential one-dimensional and two-dimensional feasible packing patterns as candidates to be evaluated by the master problem. The solution to the master problem produces a list of mother plates that need to be produced. These mother plates are transformed into candidate slabs, which are represented via an interval graph. The maximal cliques in the interval graph—maximal subsets of slabs which can be grouped together to form casts—are enumerated to generate candidate casts, from which redesign information is sent to the plate / slab design processes. The cast design process is integrated with the plate design / slab design processes in the sense that information is passed from the plate / slab design processes to the cast design process and vice versa. Finally, our method has a material allocation component to assign order plates to inventory mother-plates and slabs.
Owner:GOOGLE LLC

Visualization suggestion application programming interface

A dataset and some user selected columns of the dataset are received by a statistical analysis module for analysis. The statistical analysis module generates a score for each unselected column of the dataset based on statistical analysis of the unselected columns and all or a subset of the selected columns. A ranking of the unselected columns is presented to the user for selection of one additional column of the dataset, after which the remaining unselected columns are re-ranked according to their associated scores and once again displayed to the user. The user may continue selecting from among the ranked columns until a threshold number of columns has been selected, at which point the user may deselect a selected column in order to continue selecting additional columns. A visualization suggestion application program interface then matches the selected columns with compatible visualization configurations and presents some of these visualizations to the user.
Owner:BUSINESS OBJECTS SOFTWARE

Systems and Methods for Automated Vehicle Routing Using Relaxed Dual Optimal Inequalities for Relaxed Columns

Systems and methods for automated vehicle routing using column generation optimization are provided. The system receives capacitated vehicle routing problem (CVRP) input data and generates a minimum weight set cover problem formulation for a CVRP for performing column generation optimization over the input data. The system determines smooth-dual optimal inequalities (S-DOI) and flexible-dual optimal inequalities (F-DOI) for the CVRP for performing the column generation optimization over a valid subset of the input data. Then, the system adapts the S-DOI and the F-DOI to generate smooth and flexible dual optimal inequalities (SF-DOI) for the CVRP for performing the column generation optimization over a relaxed subset of the input data. The system utilizes the SF-DOI to accelerate column generation optimization over the relaxed subset of the input data.
Owner:INSURANCE SERVICES OFFICE INC

Shared electric vehicle operation optimization method based on column generation and ant colony algorithm fusion

The invention relates to a shared electric vehicle operation optimization method and system based on column generation and ant colony algorithm fusion. The method comprises the steps of S1 obtaining a shared electric vehicle reservation order and prediction information; S2 according to the shared electric vehicle reservation order and the prediction information, determining targets and constraint conditions of fleet configuration and path optimization of the shared electric vehicles; S3 establishing a mixed integer linear programming model according to the targets and the constraint conditions, so that the total profit of the shared electric vehicle system is maximized; s4 performing decomposition and reconstruction on the mixed integer linear programming model by using D-W decomposition to obtain a reconstructed programming model; and S5 solving the reconstructed planning model by adopting a mixed algorithm consisting of column generation and an ant colony algorithm, and calculating a fleet composition and path planning scheme. According to the method, the operation optimization problem in the shared electric vehicle system is solved, the profitability of an operating enterprise is improved, the decision reliability is high, and the calculation stability is high.
Owner:BEIJING UNIV OF CHEM TECH

Robust equivalent modeling method of electrolytic aluminum and self-provided generator set for power system control

The invention relates to a robust equivalent modeling method of electrolytic aluminum and a self-provided generator set for power system control, and belongs to the technical field of power system running and control. The method comprises the following steps of firstly, modeling a self-provided generator set running constraint and an electrolytic aluminum device constraint in a high energy-loaded enterprise containing an electrolytic aluminum device and the self-provided generator set; secondly, modeling a parameter variable of a high energy-loaded enterprise equivalent model, and further modeling an exchange power constraint of the equivalent model; and finally, forming a two-stage robust optimization model for figuring out the parameter variable of the equivalent model of the high energy-loaded enterprise containing the electrolytic aluminum device and the self-provided generator set, and figuring out by using an improved column generation method. By the method, the problem of privacy protection when the high energy-loaded enterprise containing the electrolytic aluminum device and the self-provided generator set participates in power system dispatching and absorbs new energy is solved, and a foundation is provided for the high energy-loaded enterprise containing the electrolytic aluminum device and the self-provided generator set to participate in new energy absorption.
Owner:TSINGHUA UNIV

Memory allocation method for application program, mobile terminal, server and storage medium

The embodiment of the invention provides a memory allocation method of an application program, a mobile terminal, a server and a storage medium, which relate to the computer technical field. The method comprises the following steps of obtaining the memory allocation request of the application program, sending the memory allocation request to the server, enabling the server to judge whether the application program is a target application program or not according to the identification of the application program carried by the memory allocation request and the pre-stored target application program list; receiving the judgment result returned by the server, determining the memory allocation strategy according to the judgment result, and allocating the memory for the application program according to the memory allocation strategy, wherein when the application program is the target application program, the memory allocation strategy is to set a specific area in the memory of the mobile terminal, and generate the memory data of the application program according to the column generation mode in the specific area. The embodiment of the invention can improve the generation speed of the memory data, the addressing and recovery speed of the memory, and greatly improves the fluency of the application.
Owner:NUBIA TECHNOLOGY CO LTD
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