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单词 mathematical programming
释义
mathematical programming

Computer
  • A wide field of study that deals with the theory, applications, and computational methods for optimization problems. An abstract formulation of such problems is to maximize a function f (known as an objective function) over a constraint set S, i.e.

    maximizef(x),xSRn,
    where Rn denotes the space of real n-component vectors x,
    x=(x1,x2,,xn)T
    and f is a real-valued function defined on S. If S consists only of vectors whose elements are integers, then the problem is one of integer programming. Linear programming treats the case of f as a linear function with S defined by linear equations and/or constraints. Nonlinear objective functions with or without constraints (defined by systems of nonlinear equations) give rise to problems generally referred to as optimization problems.

    Mathematical-programming problems arise in engineering, business, and the physical and social sciences.


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