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Paper cutting is a simple process of slicing large rolls of paper, jumbo-reels, into various sub-rolls with variable widths based on demands risen by customers. Since the variability is high due to collected various orders into a pool, the…

Other Computer Science · Computer Science 2013-04-09 Mehmet E. Aydin , Osman Taylan

This research investigates a multi-product capacitated lot-sizing and scheduling problem incorporating a novel learning effect, namely the period-based learning effect. This is inspired by a real case in a core analysis laboratory under a…

Optimization and Control · Mathematics 2025-01-10 Mohammad Rohaninejad , Behdin Vahedi-Nouri , Reza Tavakkoli-Moghaddam , Zdeněk Hanzálek

In this work, we use a multiobjective approach to address the lot sizing problem integrated with the cutting stock problem in a paper industry. We analyze the trade-offs and correlations which exist among the costs and their decision…

Optimization and Control · Mathematics 2017-07-20 Betania S. C. Campello , Washington A. Oliveira , Amanda O. C. Ayres , Carla T. L. S. Ghidini

Research on multi-objective combinatorial optimization and on the Cutting Stock Problem (CSP) has been widely developed over the years. In contrast, the multi-objective Cutting Stock Problem has received limited attention and has been…

Optimization and Control · Mathematics 2026-04-14 Jennifer C. Borges , Helenice de O. Florentino , Socorro Rangel

This paper introduces an integrated lot sizing and scheduling problem inspired from a real-world application in off-the-road tire industry. This problem considers the assignment of different items on parallel machines with complex…

Optimization and Control · Mathematics 2022-01-24 Cyril Koch , Taha Arbaoui , Yassine Ouazene , Farouk Yalaoui , Humbert De Brunier , Nicolas Jaunet , Antoine De Wulf

We consider regularized cutting-plane methods to minimize a convex function that is the sum of a large number of component functions. One important example is the dual problem obtained from Lagrangian relaxation on a decomposable problem.…

Optimization and Control · Mathematics 2021-10-26 Nagisa Sugishita , Andreas Grothey , Ken McKinnon

Order picking and order packing entail retrieving items from storage and packaging them according to customer requests. These activities have always been the main concerns of the companies in reducing warehouse management costs. This paper…

Optimization and Control · Mathematics 2022-06-24 Sen Xue , Chuanhou Gao

This paper introduces and approximately solves a multi-component problem where small rectangular items are produced from large rectangular bins via guillotine cuts. An item is characterized by its width, height, due date, and earliness and…

Data Structures and Algorithms · Computer Science 2017-07-28 S. Polyakovskiy , A. Makarowsky , R. M'Hallah

We present a branch-cut-and-price framework to solve Cutting Stock Problems with strong relaxations using Set Covering (Packing) Formulations, which are solved by column generation. The main contributions of this paper include an extended…

Optimization and Control · Mathematics 2025-05-15 Renan F. F. da Silva , Rafael C. S. Schouery

Cutting plane methods play a significant role in modern solvers for tackling mixed-integer programming (MIP) problems. Proper selection of cuts would remove infeasible solutions in the early stage, thus largely reducing the computational…

Optimization and Control · Mathematics 2021-10-11 Zeren Huang , Kerong Wang , Furui Liu , Hui-ling Zhen , Weinan Zhang , Mingxuan Yuan , Jianye Hao , Yong Yu , Jun Wang

Biclustering is a class of techniques that simultaneously clusters the rows and columns of a matrix to sort heterogeneous data into homogeneous blocks. Although many algorithms have been proposed to find biclusters, existing methods suffer…

Machine Learning · Statistics 2020-02-11 Michelle N. Ngo , Dustin S. Pluta , Alexander N. Ngo , Babak Shahbaba

This paper investigates the column generation (CG) for solving cutting stock problems (CSP). Traditional CG method, which repeatedly solves a restricted master problem (RMP), often suffers from two critical issues in practice -- the loss of…

Optimization and Control · Mathematics 2023-05-24 Mingjie Hu , Jie Yan , Liting Chen , Qingwei Lin

The deployment constraints in practical applications necessitate the pruning of large-scale deep learning models, i.e., promoting their weight sparsity. As illustrated by the Lottery Ticket Hypothesis (LTH), pruning also has the potential…

Machine Learning · Computer Science 2023-04-24 Yihua Zhang , Yuguang Yao , Parikshit Ram , Pu Zhao , Tianlong Chen , Mingyi Hong , Yanzhi Wang , Sijia Liu

Order picking is the process of retrieving ordered products from storage locations in warehouses. In picker-to-parts order picking systems, two or more customer orders may be grouped and assigned to a single picker. Then routing decision…

Optimization and Control · Mathematics 2022-07-13 Zhang Kai , Gao Chuanhou

This paper considers the one-dimensional cutting stock problem with divisible items, which is a new problem in the cutting stock literature. The problem exists in steel industries. In the new problem, each item can be divided into smaller…

Other Computer Science · Computer Science 2021-07-26 Deniz Tanir , Onur Ugurlu , Asli Guler , Urfat Nuriyev

In this study, we examine a two-dimensional bin-packing problem in printed circuit board manufacturing. Among other objectives, the number of bins, but also the number of different bin layouts, is to be minimized. As the running times of an…

Data Structures and Algorithms · Computer Science 2025-09-03 Christof Groschke , Steffen Goebbels , Jochen Rethmann

The problem of biclustering consists of the simultaneous clustering of rows and columns of a matrix such that each of the submatrices induced by a pair of row and column clusters is as uniform as possible. In this paper we approximate the…

Data Structures and Algorithms · Computer Science 2008-08-22 Kai Puolamäki , Sami Hanhijärvi , Gemma C. Garriga

In [E. G. Birgin, O. C. Rom\~ao, and D. P. Ronconi, The multi-period two-dimensional non-guillotine cutting stock problem with usable leftovers, International Transactions in Operational Research 27(3), 1392-1418, 2020] the multi-period…

Optimization and Control · Mathematics 2023-04-28 E. G. Birgin , O. C Romão , D. P. Ronconi

We consider the problem of sparse matrix multiplication by the column row method in a distributed setting where the matrix product is not necessarily sparse. We present a surprisingly simple method for "consistent" parallel processing of…

Data Structures and Algorithms · Computer Science 2012-11-20 Andrea Campagna , Konstantin Kutzkov , Rasmus Pagh

Biclustering, the process of simultaneously clustering the rows and columns of a data matrix, is a popular and effective tool for finding structure in a high-dimensional dataset. Many biclustering procedures appear to work well in practice,…

Methodology · Statistics 2020-06-04 Cheryl J. Flynn , Patrick O. Perry
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