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58 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).

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

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

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

N-level prime number periodic table theorem based system and method for constructing prime number periodic table in parallel

The present invention discloses a system and method for constructing a large prime number periodic table by using an N-level prime number periodic table theorem. The method comprises: calculating n basic order prime numbers by using a prime number general formula; then calculating and generating an original order prime number column by means of a prime number column generation module and storing the original order prime number column into a prime number generation area; calculating and generating a composite number column by means of a continuous composite number area determination module; forming a continuous composite number area by using continuous combinations of generated infinite composite number columns, and storing the continuous combinations into the continuous composite number area; performing validation on the generated prime number column by means of a linear congruence equation calculation module; searching for prime factors of the composite numbers in all directions, performing screening to obtain prime factor composite numbers that are all greater than mn, and completely separating the composite numbers from the prime numbers to reduce a probability of erroneous determination; and the more and larger searched modulus prime factors become, the closer distribution density of sector prime factor composite numbers approaches to zero, so as to obtain a super large prime number table that approaches closer and closer to 100%, and implement the goal of acquiring infinite large prime numbers in all directions in a whole of natural numbers.
Owner:孙小东
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