The paper studies the linear semi-infinite programming problems and its dual problems. The main purpose is to develop an applicable algorithm to solve such kinds of problems.
The paper studies the linear semi-infinite programming problems and its dual problems. The main purpose is to develop an applicable algorithm to solve such kinds of problems.
This paper studies the infinite dimensional linear programming problems in the integration type. The variable is taken in the space of bounded regular Borel measures on compact Hausdorff spaces. It will find an optima...
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This paper studies the infinite dimensional linear programming problems in the integration type. The variable is taken in the space of bounded regular Borel measures on compact Hausdorff spaces. It will find an optimal measure for a constrained optimization problem, namely a capacity problem. Relations between extremal points of the feasible region and optimal solutions of the optimization problem are investigated. The necessary/sufficient conditions for a measure to be optimal are established. The algorithm for optimal solution of the general capacity problem on X = Y = [0, 1] is formulated.
An innovative concept of mixing soil around obstacles via a newly developed equipment with articulated joints is currently being developed by a research group in NUS. To assist and supervise the movement of articulate...
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ISBN:
(纸本)9781728124858
An innovative concept of mixing soil around obstacles via a newly developed equipment with articulated joints is currently being developed by a research group in NUS. To assist and supervise the movement of articulated joints in the real site, a supervisory software for trajectory mapping for the hardware of articulated joints is required. This study compares four approaches of controlling and optimizing for the subterranean trajectory of a three-jointed articulated deep mixing equipment, based on a proposed mathematical model, which is used to trace coordinates of joints in each step. Through the understanding of the equipment's behaviour, the programs of deep soil mixing trajectory calculation using different methodologies, are developed and improved to achieve more functions and better performance. Comparison and analysis of all the feasible methodologies are included to obtain the optimal program for real world applications.
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