Genetic Algorithm for Mixed Integer Nonlinear Bilevel Programming and Applications in Product Family Design
نویسندگان
چکیده
منابع مشابه
A Parametric Integer Programming Algorithm for Bilevel Mixed Integer Programs
We consider discrete bilevel optimization problems where the follower solves an integer program with a fixed number of variables. Using recent results in parametric integer programming, we present polynomial time algorithms for pure and mixed integer bilevel problems. For the mixed integer case where the leader’s variables are continuous, our algorithm also detects whether the infimum cost fail...
متن کاملMixed Integer Nonlinear Programming Applications
In this contribution we apply different approaches to solve four rather different MINLP problems: special extensions to time-indexed formulations of production planning problems, a production planning problem in BASF’s petrochemical division, a site analysis of one of BASF’s bigger sites, and a process design problem. The first problem is related to a useful nonlinear extension of production pl...
متن کاملA Hybrid Approach Based on Genetic Algorithm for Mixed-Integer Bilevel Programming Problems
Bilevel programming problem is characterized as hierarchical structure, involving two optimization problems at deferent levels. When some variables are restricted into integer set, the problem is very challenging for most canonical optimization approaches. In the present paper, a class of nonlinear mixed-integer bilevel programs is taken into account in which the follower is an integer linear p...
متن کاملApplications and algorithms for mixed integer nonlinear programming
The mathematical modeling of systems often requires the use of both nonlinear and discrete components. Discrete decision variables model dichotomies, discontinuities, and general logical relationships. Nonlinear functions are required to accurately represent physical properties such as pressure, stress, temperature, and equilibrium. Problems involving both discrete variables and nonlinear const...
متن کاملGlobal Supply Chain Management under Carbon Emission Trading Program Using Mixed Integer Programming and Genetic Algorithm
In this paper, the transportation problem under the carbon emission trading program ismodelled by mathematical programming and genetic algorithm. Since green supply chain issuesbecome important and new legislations are taken into account, carbon emissions costs are included inthe total costs of the supply chain. The optimisation model has the ability to minimise the total costsand provides the ...
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: Mathematical Problems in Engineering
سال: 2016
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2016/1379315