Case Studies in Optimization: Catenary Problem
نویسندگان
چکیده
منابع مشابه
Case Studies in Optimization: Catenary Problem
This is the second paper in a series presenting case studies in modern large-scale constrained optimization [9]. In this paper, we consider the shape of a hanging chain, which, in equilibrium, minimizes the potential energy of the chain. In addition to the tutorial aspects of this paper, we also emphasize the importance of certain modeling issues such as convex vs. nonconvex formulations of giv...
متن کاملCase Studies Train Control Optimization
A new era of automatic train control has begun, in which mass transit trains will be commanded with precision beyond the capabilities of past systems. Although transit properties such as San Francisco's Bay Area Rapid Transit (BART) have controlled their trains automatically for decades, the control systems have limited capability. Increases in capacity now require trains to run closer together...
متن کاملCatenary and autotransformer coupled optimization for 2x25kV systems planning
In the design process of a 2x25kV power supply, the location and sizing of autotransformers and the choice of the catenary type are usually two aspects very closely interrelated. As a result, the number of autotransformers can normally be reduced or augmented if the catenary is upgraded or downgraded respectively. In this paper, coupling equations between these two aspects are described in deta...
متن کاملOptimization Case Studies in the NEOS Guide
We describe several of the case studies in the NEOS Guide, a site on the World Wide Web that contains informational and educational material about optimization. These studies show how optimization relates to practical applications. They guide the user through relevant details of the application, formulation, solution, and interpretation of the results. The studies use interactivity to build int...
متن کاملThe True Catenary a Case Study of Modern Applied Mathematics
The problem of the catenary can be used as an illustrating example for the methods of modern applied mathematics. Starting oo from a practical problem, modelling consists in transforming this into a mathematical problem, using physical principles and empirical laws. The mathematical question is then imbedded into an appropriate theory and solved. The solutions have to be analyzed with respect t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Optimization and Engineering
سال: 2005
ISSN: 1389-4420,1573-2924
DOI: 10.1007/s11081-005-2068-0