A branch-and-price-and-cut algorithm for the pattern minimization problem
نویسندگان
چکیده
منابع مشابه
A branch-and-price-and-cut algorithm for the pattern minimization problem
In cutting stock problems, after an optimal (minimal stock usage) cutting plan has been devised, one might want to further reduce the operational costs by minimizing the number of setups. A setup operation occurs each time a different cutting pattern begins to be produced. The related optimization problem is known as the Pattern Minimization Problem, and it is particularly hard to solve exactly...
متن کاملA Branch-Cut-and-Price Algorithm for the Energy Minimization Vehicle Routing Problem
We study a variant of the capacitated vehicle routing problem where the cost over each arc is defined as the product of the arc length and the weight of the vehicle when it traverses that arc. We propose two new mixed integer linear programming formulations for the problem: an arc-load formulation and a set partitioning formulation based on q-routes with additional constraints. A family of cycl...
متن کاملthe algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولA Branch-and-Cut-and-Price Algorithm for the Capacitated Location-Routing Problem
In this paper we present an exact algorithm for the Capacitated LocationRouting Problem (CLRP) based on column and cut generation. The CLRP is formulated as a set-partitioning problem which also inherits all of the known valid inequalities for the flow formulations of the CLRP. We introduce five new families of inequalities that are shown to dominate some of the cuts from the two-index formulat...
متن کاملA branch-price-and-cut algorithm for the minimum evolution problem
We investigate the Minimum Evolution Problem (MEP), an NP-hard network design problem arising from computational biology. TheMEP consists in finding aweighted unrooted binary tree having n leaves, minimal length, and such that the sum of the edge weights belonging to the unique path between each pair of leaves is greater than or equal to a prescribed value. We study the polyhedral combinatorics...
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: RAIRO - Operations Research
سال: 2008
ISSN: 0399-0559,1290-3868
DOI: 10.1051/ro:2008027