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531 results about "Lagrange multiplier" patented technology

In mathematical optimization, the method of Lagrange multipliers is a strategy for finding the local maxima and minima of a function subject to equality constraints (i.e., subject to the condition that one or more equations have to be satisfied exactly by the chosen values of the variables). The basic idea is to convert a constrained problem into a form such that the derivative test of an unconstrained problem can still be applied.

Resource allocation method in distributed heterogeneous environment in mobile edge computing

The invention belongs to the technical field of wireless communication, and relates to a resource allocation method in a distributed heterogeneous environment in mobile edge computing. The method comprises the steps of establishing diversified task unloading models according to unloading delays corresponding to different service types in an MEC environment; establishing a buying and selling game model between the user and the MEC server; respectively establishing maximized income models of the user and the MEC server; adopting a Lyapunov optimization algorithm to improve the user model, and solving an optimal purchase strategy of the user through a Lagrange multiplier method and KKT conditions; solving an optimal quotation strategy of the MEC server based on the strategy; and if the optimal purchase strategy and the optimal quotation strategy satisfy a Stackleberg equilibrium solution, allocating computing resources of different users as required according to the optimal strategy by the MEC server. By means of the method, compromise of user unloading income and time delay can be achieved, and elastic control and on-demand distribution of task unloading and computing resource distribution can be achieved.
Owner:CHONGQING UNIV OF POSTS & TELECOMM

Side-lobe suppression method for three-dimensional array antenna pattern based on improved MOPSO and convex optimization algorithm

The invention discloses a side-lobe suppression method for a three-dimensional array antenna pattern based on an improved MOPSO and a convex optimization algorithm. Firstly, three-dimensional array antenna pattern synthesis is modeled and analyzed, and a basic mathematic model of the array antenna radiation pattern synthesis is given, and multi-objective functions of low side-lobe pattern synthesis under constraint conditions of an array radiation direction and first side-lobe suppression are constructed respectively; then, the maximal excitation of a polarization directivity coefficient is obtained by a Lagrange multiplier method and is added in the MOPSO algorithm as preference information, an initial population is generated in the vicinity of optimal solutions, and the model is solved by iterative calculation; a convex optimization model of the low side-lobe pattern synthesis is constructed, a convex optimization tool is utilized to solve the corresponding optimal solutions under different threshold constraints, then the three-dimensional array antenna pattern under the low side-lobe constraint is obtained, and therefore the purpose of side-lobe suppression is achieved. According to the side-lobe suppression method for the three-dimensional array antenna pattern based on the improved MOPSO and the convex optimization algorithm, the optimization performance of the algorithms is improved, and the side-lobe suppression problem of the three-dimensional array antenna pattern can be solved efficiently and quickly.
Owner:NANJING UNIV OF AERONAUTICS & ASTRONAUTICS

Aircraft multi-objective optimization method based on self-adaptive agent model

ActiveCN104866692ASave optimization design costImprove approximation accuracySpecial data processing applicationsPhysical planningEngineering
The invention discloses an aircraft multi-objective optimization method based on a self-adaptive agent model, relates to a multi-objective optimization method for treating complex aircraft design, and belongs to the field of aircraft design optimization. According to the aircraft multi-objective optimization method, an integrated preference function is constructed by use of a physical planning method to realize the conversion of the multi-objective optimization problem into a single-objective optimization problem reflecting design preference; next, the self-adaptive agent model is constructed from the integrated preference function and constraint conditions to take the place of a high-accuracy analysis model, and therefore, the problem of great time taken in calculation of optimization design is solved; finally, the constraint problem is converted into a non-constraint problem by use of an augmentation Lagrange multiplier method, and the non-constraint problem is solved by use of a genetic algorithm. The aircraft multi-objective optimization method has the advantages that the solving process of the aircraft multi-objective optimization method taking much time in calculation is simple and efficient, and therefore, a Pareto noninferior solution meeting the requirements of a user can be obtained quickly to shorten the design period of the aircraft, and the design cost is reduced. Besides, the aircraft multi-objective optimization method is high in universality and convenient for program development.
Owner:BEIJING INSTITUTE OF TECHNOLOGYGY

Method and device for obtaining wheel set tread contour line of urban rail train

ActiveCN104163188ARelatively small errorWith online non-contact measurementWheel-rims surveying/measuringContact typeEngineering
The invention discloses a method and device for obtaining a wheel set tread contour line of an urban rail train. The device comprises two sets of 2D laser displacement sensors installed on the two sides of a rail in a mirror symmetry mode. The laser detection faces of the two sets of sensors are located on the same plane, and the integral device is lower than the rail surface. The method comprises the steps that after the sensors detect wheels at the same time to obtain detection point coordinates, the output points of the two sets of sensors are combined to a same coordinate system through coordinate transformation and coordinate translation; the x-coordinate value of the right end face of a tread is obtained, and a filtering window is established based on the x-coordinate value to remove interference points of measuring data; the x-coordinate value of the right end face of the tread is obtained, and measured data points are divided into K number sets according to the actual situations; least squares curve fitting is carried out on the data points of each number set; coordinate values of segment points are obtained, and each segment curve is smoothened into an integral tread contour line according to the lagrange multiplier method. The method and device have the advantages of being high in speed and precision, easy to operate, capable of carrying out online non-contact type measurement, and the like.
Owner:NANJING UNIV OF SCI & TECH

Modeling and optimized dispatching method of electrical series-parallel system on the basis of energy center

The invention discloses a modeling and optimized dispatching method of an electrical series-parallel system on the basis of an energy center. The modeling and optimized dispatching method comprises the following steps: firstly, establishing an electrical network, a natural gas network and an energy hub model, and coupling the electrical network with the natural gas network through an energy hub to form the electrical series-parallel system; then, taking total energy cost as a target function, and considering various constraint conditions to establish an optimized dispatching mathematic model of the electrical series-parallel system; and carrying out solving by a primal-dual interior-point method, importing a slack variable and a barrier parameter in sequence in a solving process so as to change the model into a model which only contains an equality constraint, then, importing a Lagrange multiplier to obtain a Lagrange function, and solving a non-linear equation set formed by a KKT (Karush-Kuhn-Tucker) condition of the Lagrange function by a Newton method. A constructed example simulation result indicates that an optimization effect on the electrical series-parallel system by the modeling and optimized dispatching method is superior to an independent optimization effect.
Owner:HOHAI UNIV

Anti-noise-interference redundant manipulator path planning method

The invention discloses an anti-noise-interference redundant manipulator path planning method and a system. The method comprises the steps of (1) building a time-varying quadratic planning model according to an actual redundant manipulator parameter index, and introducing a performance index of a redundant manipulator; (2) using a lagrange multiplier method for carrying out optimal value optimization on the time-varying quadratic planning model; (3) designing a standard matrix equality according to an optimization formula; (4) designing a deviation function equation of the system according toan actual physical model system and the standard matrix equality; and (5) designing the anti-noise-interference redundant manipulator path planning method according to the deviation function equationand a power type varying parameter recursion neurodynamics method, wherein a network state solution solved by the method is an optimal solution. According to the anti-noise-interference redundant manipulator path planning method and the system provided by the invention, with the interference of an outside noise environment, an actual motion path of a redundant manipulator can further coincide withan expected path, so that the calculating speed is greatly improved, and the method has the characteristics of high precision, fast convergence, high instantaneity, good robustness and the like.
Owner:SOUTH CHINA UNIV OF TECH

Radar optimal waveform design method based on radio frequency stealth in frequency spectrum shared environment

The present invention discloses a radar optimal waveform design method based on radio frequency stealth in a frequency spectrum shared environment, belonging to the radar design and manufacturing field. The method comprises: obtaining priori knowledge of detection area target frequency response of a radar and communication system and signals of a communication system, and assuming that the echo of the communication signals reflected through the target to the radar can be received and processed by the radar; and establishing an optimal waveform design mathematic model; and employing the Lagrange multiplier method to solve the optimal waveform design mathematic model and performing iterative computation to determine the optimal emission waveform of the radar system. The minimization of the total emission power of the radar is taken as a target, the emission waveform of the radar system is subjected to adaptive optimization design in the conditions of satisfying a certain target parameter estimation performance and the communication system channel capacity so as to ensure the channel capacity and the communication quality of the communication system and allow the radar system to ensure the optimal radio frequency stealth performance in the condition of satisfying a certain target parameter estimation performance.
Owner:NANJING UNIV OF AERONAUTICS & ASTRONAUTICS

Method for solving unit commitment of wind-fire energy storing-saving and emission-reducing unit

The invention discloses a method for solving unit commitment of wind-fire energy storing-saving and emission-reducing unit. A decomposition-coordination thought is adopted, the unit commitment of a wind-fire power storage system is decomposed into an upper and lower layer optimization problem, the wind-fire power storage system is decomposed into fire power subsystems, wind power subsystems and water pumping energy-storing subsystems by using Lagrangian relaxation, and each subsystem is coordinated by using a self-adaptive Lagrange multiplier on an upper layer; each subsystem on a lower layer is solved by using a self-adaptive genetic algorithm. An entire optimization process comprises the following steps: determining the outputs of the wind power subsystems and the outputs of the water pumping energy-storing subsystems as well as spinning reserve which can be provided by the water pumping energy-storing subsystems according to a load curve; transmitting obtained results to the fire power subsystems respectively; coordinating and allocating in parallel on the basis by using each fire power subsystem to determine corresponding start-stop sequences and optimal outputs. According to the method, the wind power fan stop, the peak-shaving energy consumption of fire power units and the running cost can be reduced effectively, and the safety, robustness and energy saving and emission reducing capabilities of the system are further improved.
Owner:CHANGZHOU UNIV
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