Papers by Keyword: Mathematical Programming

Abstract: A linear elastic no-tension material model is implemented in this contribution to cope with the analysis of masonry-like solids in case of either elastic or inelastic settlements. Instead of implementing an incremental non-linear approach, an energy-based method is adopted to address the elastic no-tension equilibrium. Under a prescribed set of compatible loads, and possible enforced displacements, a solution is found by distributing an equivalent orthotropic material having negligible stiffness in tension, such that the overall strain energy is minimized and the stress tensor is negative semi-definite all over the domain. A preliminary implementation of the proposed method is given by adopting a heuristic approach to turn the multi-constrained minimization problem into an unconstrained one. Numerical simulations focus on a wall with an opening subjected to either inelastic settlement or standing on elastic soil.

Abstract: A technique and supporting software were designed to select optimal conditions for turning of ductile materials. Selection of optimal cutting parameters is based on a number of process requirements, including achieving the favourable chip form.

Abstract: A new tool allocation method is proposed in this paper to consider both the load balancing and optimization of a transportation based on a mathematical problem. The proposed tool allocation method consists of two steps. In the first step, the individual tools are divided into tool sets based on 0-1 programming problem in order to balance a total machining time by using the individual tool sets and reducing a total number of transportation processes. In the second step, the individual tool sets are allocated to the Machining Centers (MCs) based on a quadratic assignment problem in order to minimize transportation total distances of jobs.

Abstract: Efficient research method represents the primary content of hydrogen networks optimization. In the view of methodology, as pinch analysis is not specialized in precisely matching a network and mathematical programming is likely to induce convergence difficulties, a combination of both is liable to avoid their shortcomings. This paper introduces a detailed process, combining cascade analysis and mathematical programming method, to optimize a refinery hydrogen network with a purifier. A hydrogen cascade analysis instead of traditional pinch-point methods is deduced to rapidly obtain pinch-point purity without tedious iterative. On this basis, the location of the purifier could be pinpointed and a concise superstructure with pinch point and the purifier is constructed. Then a superstructure-based mathematical programming model is presented. A case study is finally carried out to examine the applicability and advantages of the proposed combination approach. The calculation result verifies the optimization of the method as well.

Abstract: This paper provides a review of the literature regarding the application of mathematical programming models for FMS planning and scheduling problem. The aim of this study is to analyze the present and future trend in this filed and to propose a classification scheme based on the following criteria:FMS type, decision level, planning and scheduling problem, FMS characteristics, mathematical modeling, constraint, objective, solution methodology, novelty, and application. This study provides readers with a great understanding of the complication of the planning and scheduling problem and the application of developed methods to model and solve them.

Abstract: Train operation regulation is the key technology to ensure the orderly operation of trains, its value has been fully realized under the background of rapid construction and high traffic density in urban rail transit. This paper did a deep analysis on different strategies and methods for urban rail transit train operation regulation and the applications of these strategies and methods in different conditions. Furthermore, an automatic train operation regulation mathematical model was established. Then developed a software system in Visual C++ and used it to analysis and test the model by data of a real metro line, the result showed that both the model and the system were available.

Abstract: For the work exchange network, this paper proposed an optimal matching network mathematical to achieve the maxime reuse target. Based on this method, a case is studied, the corresponding work exchange network is optimized and the optimal matching network is obtained. The case study also shows that this method is more efficient and specific than the graphical and problem table methods, which is proved by the correctness, efficiency and benefits of mathematical programming method.

Abstract: For the structure optimization design of grinder Cui Zhong etc. [1,2] studied problems such like to select sample points which are used to structure the approximate model, to apply optimal Latin hypercube principle in the experimental design, and to take advantage of radical basis function. To minimize error they optimized models by using mathematical programming also. In our paper here using the methods in [1, we construct a model using CAD for grinding components, on the basis of optimum structural design procedure we deal with grinding spindle with structural analysis, sampling point selection, and optimum design, such that we greatly improve the design of high-speed grinding spindle on the wheel frame of CNC8312A[.

Abstract: This paper proposes a mathematical programming based approach for optimal estimation of photovoltaic cell model parameters. In this study, solar cell models are used to represent the current-voltage characteristics of the solar cell. The model is represented as a non-linear function that relates the cell current and voltage with some parameters to be estimated. No direct general analytical solution exists for such function. Given the input-output characteristic data of the solar cell, a mathematical programming technique is used to solve a set of transcendental equations to optimally estimate the solar cell parameters.

Abstract: This paper summarizes the characteristics of the waste electronic products,and its classification, comparative analysis of the domestic and foreign current development in the reverse logistics of waste electronic products. The article summarizes the foreign countries, especially Japan's successful experience and analysis of domestic problems exist in the recovery part .The paper proposes a mode suited to China's development of reverse logistics of waste electronic products, while establishing a network model of the recycling of waste electronic products, and examples of the model is validated.