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Parser for signomial and geometric programs

机译:用于符号和几何程序的解析器

摘要

A method and apparatus for parsing signomial and geometric programs, referred to herein as “the Parser”. Signomial and Geometric programming is a unique class of mathematical problems that is useful in the study of optimization problems. The Parser is a program designed to recognize and parse both signomial and geometric programs such that they may be accepted and solved by signomial and geometric program solvers. The Parser accepts an optimization problem from a user in the form of algebraic expressions. The Parser can then identify the problem as a signomial program and can further determine if it reduces to a geometric program. If either a signomial or geometric program exists, the Parser converts the algebraic expressions to a compact numeric format that can be accepted by a computer-aided solver. In the case of a geometric program, the solver may find a global solution to the optimization problem. However, in the case of signomial program, the solver may only find a local solution. The solution found by the solver is routed back to the Parser which reports it in a user-readable format.
机译:一种用于解析符号程序和几何程序的方法和设备,在本文中称为“解析器”。信号和几何规划是一类独特的数学问题,可用于研究优化问题。解析器是一种旨在识别和解析符号和几何程序的程序,以便它们可以被符号和几何程序求解器接受和求解。解析器以代数表达式的形式接受用户的优化问题。然后,解析器可以将问题识别为正则程序,并可以进一步确定问题是否简化为几何程序。如果存在符号程序或几何程序,则解析器会将代数表达式转换为计算机辅助求解器可以接受的紧凑数字格式。在几何程序的情况下,求解器可以找到优化问题的整体解。但是,在使用拟名程序的情况下,求解器可能只会找到局部解。求解器找到的解决方案将路由回解析器,解析器以用户可读的格式报告该解决方案。

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