Generating functions and duality for integer programs

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Generating functions and duality for integer programs

We consider the integer program P→max{c′x|Ax = y;x ∈ N}. Using the generating function of an associated counting problem, and a generalized residue formula of Brion and Vergne, we explicitly relate P with its continuous linear programming (LP) analogue and provide a characterization of its optimal value. In particular, dual variables λ ∈ R have discrete analogues z ∈ C, related in a simple mann...

متن کامل

Erratum to "Generating functions and duality for integer programs": [Discrete Optimization 1 (2) (2004) 167-187]

Erratum Erratum to " Generating functions and duality for integer programs " ଁ In this paper, the integral sign ' ' has been used in several places, whereas the correct entry would have been 'int', the abbreviation for 'interior'.

متن کامل

Duality for Mixed Integer Linear Programs

The theory of duality for linear programs is well-developed and has been successful in advancing both the theory and practice of linear programming. In principle, much of this broad framework can be extended to mixed integer linear programs, but this has proven difficult, in part because duality theory does not integrate well with current computational practice. This paper surveys what is known...

متن کامل

Cut-Generating Functions for Integer Variables

For an integer linear program, Gomory’s corner relaxation is obtained by ignoring the nonnegativity of the basic variables in a tableau formulation. In this paper, we do not relax these nonnegativity constraints. We generalize a classical result of Gomory and Johnson characterizing minimal cut-generating functions in terms of subadditivity, symmetry, and periodicity. Our result is based on a ne...

متن کامل

ذخیره 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: Discrete Optimization

سال: 2004

ISSN: 1572-5286

DOI: 10.1016/j.disopt.2003.12.002