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In the current paper we provide a proof of NP-completeness for the CFP problem with the fractional grouping efficacy objective. For this purpose we first consider the CFP with the linear objective minimizing the total number of exceptions…

Computational Complexity · Computer Science 2019-01-10 Mikhail V. Batsyn , Ekaterina K. Batsyna , Ilya S. Bychkov

The BiCluster Editing problem aims at editing a given bipartite graph into a disjoint union of bicliques via a minimum number of edge deletion or addition operations. As a graph-based model for data clustering, the problem aims at a…

Data Structures and Algorithms · Computer Science 2025-11-18 Faisal N. Abu-Khzam , Lucas Isenmann , Zeina Merchad

The Cell Formation Problem has been studied as an optimization problem in manufacturing for more than 90 years. It consists of grouping machines and parts into manufacturing cells in order to maximize loading of cells and minimize movement…

Data Structures and Algorithms · Computer Science 2017-08-29 Ilya Bychkov , Mikhail Batsyn

We consider a fractional 0-1 programming problem arising in manufacturing. The problem consists in clustering of machines together with parts processed on these machines into manufacturing cells so that intra-cell processing of parts is…

Data Structures and Algorithms · Computer Science 2016-03-16 Irina Utkina , Mikhail Batsyn , Ekaterina Batsyna

The machine-part cell formation problem consists of creating machine cells and their corresponding part families with the objective of minimizing the inter-cell and intra-cell movement while maximizing the machine utilization. This article…

Computational Engineering, Finance, and Science · Computer Science 2012-12-24 Tamal Ghosh , Pranab K Dan

Cell formation is a critical step in the design of cellular manufacturing systems. Recently, it was tackled using a cut-based-graph-partitioning model. This model meets real-life production systems requirements as it uses the actual amount…

Discrete Mathematics · Computer Science 2016-12-19 Boulif Menouar

In our paper we consider the Cell Formation Problem in Group Technology with grouping efficiency as an objective function. We present a heuristic approach for obtaining high-quality solutions of the CFP. The suggested heuristic applies an…

Discrete Mathematics · Computer Science 2017-02-24 Ilya Bychkov , Mikhail Batsyn , Panos M. Pardalos

In the multi-cell multiuser multi-input multi-output (MU-MIMO) systems, fractional programming (FP) has demonstrated considerable effectiveness in optimizing beamforming vectors, yet it suffers from high computational complexity. Recent…

Signal Processing · Electrical Eng. & Systems 2026-01-13 Zihan Jiao , Xinping Yi , Shi Jin

To improve the global optimization ability of traditional GEP algorithm, a Multicellular gene expression programming algorithm based on fuzzy control (Multicellular GEP Algorithm Based On Fuzzy Control, MGEP-FC) is proposed. The MGEP-FC…

Neural and Evolutionary Computing · Computer Science 2019-06-24 Chuyan Deng , Yuzhong Peng , Hongya Li , Daoqing Gong , Hao Zhang , Zhiping Liu

Tracking of plant cells in images obtained by microscope is a challenging problem due to biological phenomena such as large number of cells, non-uniform growth of different layers of the tightly packed plant cells and cell division.…

Computer Vision and Pattern Recognition · Computer Science 2023-09-22 Md Shazid Islam , Arindam Dutta , Calvin-Khang Ta , Kevin Rodriguez , Christian Michael , Mark Alber , G. Venugopala Reddy , Amit K. Roy-Chowdhury

Biclustering, also called co-clustering, block clustering, or two-way clustering, involves the simultaneous clustering of both the rows and columns of a data matrix into distinct groups, such that the rows and columns within a group display…

Optimization and Control · Mathematics 2024-12-06 Antonio M. Sudoso

Enumerating maximal $k$-biplexes (MBPs) of a bipartite graph has been used for applications such as fraud detection. Nevertheless, there usually exists an exponential number of MBPs, which brings up two issues when enumerating MBPs, namely…

Databases · Computer Science 2022-08-30 Kaiqiang Yu , Cheng Long

For clustering of an undirected graph, this paper presents an exact algorithm for the maximization of modularity density, a more complicated criterion to overcome drawbacks of the well-known modularity. The problem can be interpreted as the…

Social and Information Networks · Computer Science 2017-06-28 Keisuke Sato , Yoichi Izunaga

This work proposes a mixed learning-based and optimization-based approach to the weighted-sum-rates beamforming problem in a multiple-input multiple-output (MIMO) wireless network. The conventional methods, i.e., the fractional programming…

Information Theory · Computer Science 2026-01-07 Jianhang Zhu , Tsung-Hui Chang , Liyao Xiang , Kaiming Shen

Bilevel optimization has been widely used in decision-making process. However, there still lacks an efficient algorithm to determine an optimal solution of a bilevel optimization problem, especially for a large-size problem. To bridge the…

Optimization and Control · Mathematics 2016-05-18 Xuan Liu , Zuyi Li

Biclustering techniques have been widely used to identify homogeneous subgroups within large data matrices, such as subsets of genes similarly expressed across subsets of patients. Mining a max-sum sub-matrix is a related but distinct…

Machine Learning · Statistics 2017-09-26 Vincent Branders , Pierre Schaus , Pierre Dupont

We consider the problem of minimizing the makespan on batch processing identical machines, subject to compatibility constraints, where two jobs are compatible if they can be processed simultaneously in a same batch. These constraints are…

Discrete Mathematics · Computer Science 2023-09-07 Khaoula Bouakaz , Mourad Boudhar

The Minimum Cost Multicut Problem (MP) is a popular way for obtaining a graph decomposition by optimizing binary edge labels over edge costs. While the formulation of a MP from independently estimated costs per edge is highly flexible and…

Computer Vision and Pattern Recognition · Computer Science 2021-12-13 Steffen Jung , Sebastian Ziegler , Amirhossein Kardoost , Margret Keuper

Machine-part cell formation is used in cellular manufacturing in order to process a large variety, quality, lower work in process levels, reducing manufacturing lead-time and customer response time while retaining flexibility for new…

Artificial Intelligence · Computer Science 2011-05-09 Manojit Chattopadhyay , Surajit Chattopadhyay , Pranab K. Dan

We introduce a variation of the scheduling with precedence constraints problem that has applications to molecular folding and production management. We are given a bipartite graph $H=(B,S)$. Vertices in $B$ are thought of as goods or…

Discrete Mathematics · Computer Science 2016-10-04 Akbar Rafiey , Jeff Kinne , Ján Manuch , Arash Rafiey
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