Parser for signomial and geometric programs

a signomial and geometric program technology, applied in the field of mathematical optimization, can solve the problems of hundreds of optimization variables and thousands of constraints, too cumbersome to perform by hand, and more complex gps effectively to be solved with the aid of computer programs
US20080072215A1Inactive Publication Date: 2008-03-20SYNOPSYS INC
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Patent Information

Authority / Receiving Office
US · United States
Patent Type
Applications(United States)
Current Assignee / Owner
SYNOPSYS INC
Publication Date
2008-03-20
Estimated Expiration
Not applicable · inactive patent

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Abstract

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.
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Description

FIELD OF THE INVENTION

[0001] The invention relates to the field of mathematical optimization, particularly the recognition and parsing of signomial and geometric programs such that they may be accepted and solved by signomial and geometric program solvers. BACKGROUND AND PRIOR ART

[0002] Geometric programming is a unique class of mathematical problems that is useful in the study of optimization problems. The theory of Geometric Programming was initially developed over three decades ago and culminated in a publication by R. J. Duffin, E. L. Peterson and C. M. Zener (Geometric Programming, John Wiley & Sons, 1967). This publication describes a Geometric Program (GP) as an optimization problem having an objective function and a set of constraints which all must meet certain mathematical criteria. Perhaps the most important property of GPs is that they can be solved, with great efficiently, and globally, using recently developed interior-point methods.

[0003] Since the impact of GPs ca...

Claims

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