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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 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

This paper focuses on the generalized grouping problem in the context of cellular manufacturing systems (CMS), where parts may have more than one process route. A process route lists the machines corresponding to each part of the operation.…

Artificial Intelligence · Computer Science 2026-04-03 Md. Kutub Uddin , Md. Saiful Islam , Md Abrar Jahin , Md. Saiful Islam Seam , M. F. Mridha

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

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

Allocating of people in multiple projects is an important issue considering the efficiency of groups from the point of view of social interaction. In this paper, based on previous works, the Multiple Team Formation Problem (MTFP) based on…

Neural and Evolutionary Computing · Computer Science 2019-03-11 Jose G. M. Esgario , Iago E. da Silva , Renato A. Krohling

In the photonic design problem, a scientist or engineer chooses the physical parameters of a device to best match some desired device behavior. Many instances of the photonic design problem can be naturally stated as a mathematical…

Computational Physics · Physics 2021-01-13 Guillermo Angeris , Jelena Vučković , Stephen Boyd

In this work we focus on efficient heuristics for solving a class of stochastic planning problems that arise in a variety of business, investment, and industrial applications. The problem is best described in terms of future buy and sell…

Artificial Intelligence · Computer Science 2013-01-14 Milos Hauskrecht , Eli Upfal

Developing a group of machine cells and their corresponding part families to minimize the inter-cell and intra-cell material flow is the basic objective of the designing of a cellular manufacturing system (CMS). Afterwards achieving a…

Computational Engineering, Finance, and Science · Computer Science 2012-12-21 T. Ghosh , P. K. Dan

Cellular manufacturing (CM) is an approach that includes both flexibility of job shops and high production rate of flow lines. Although CM provides many benefits in reducing throughput times, setup times, work-in-process inventories but the…

Adaptation and Self-Organizing Systems · Physics 2012-01-27 Manojit Chattopadhyay , Pranab K. Dan , Sitanath Majumdar

Cell formation problem is among the first obstacles the designer of cellular production systems must overcome. This paper presents a critical analysis of the various criteria and constraints considered in the literature. The objective is to…

Computational Engineering, Finance, and Science · Computer Science 2020-07-23 Menouar Boulif , Karim Atif

We investigate a new model for partitioning a set of items into groups (clusters). The number of groups is given and the distances between items are well defined. These distances may include weights. The sum of the distances between all…

Optimization and Control · Mathematics 2023-12-20 Pawel Kalczynski , Zvi Goldstein , Zvi Drezner

Heuristic algorithms have shown a good ability to solve a variety of optimization problems. Stockpile blending problem as an important component of the mine scheduling problem is an optimization problem with continuous search space…

Neural and Evolutionary Computing · Computer Science 2021-02-11 Yue Xie , Aneta Neumann , Frank Neumann

This work investigates the Bicluster Graph Editing Problem (BGEP) and how it can be applied to solve the Manufacturing Cell Formation Problem (MCFP). We develop an exact method for the BGEP that consists of a Branch-and-Cut approach…

Optimization and Control · Mathematics 2013-12-12 Rian G. S. Pinheiro , Ivan C. Martins , Fábio Protti , Luiz S. Ochi , Luidi G. Simonetti , Anand Subramanian

We study the problem of instance segmentation in biological images with crowded and compact cells. We formulate this task as an integer program where variables correspond to cells and constraints enforce that cells do not overlap. To solve…

Computer Vision and Pattern Recognition · Computer Science 2017-09-22 Chong Zhang , Shaofei Wang , Miguel A. Gonzalez-Ballester , Julian Yarkony

Modularity Q is an important function for identifying community structure in complex networks. In this paper, we prove that the modularity maximization problem is equivalent to a nonconvex quadratic programming problem. This result provide…

Physics and Society · Physics 2009-11-13 Yanqing Hu , Jinshan Wu , Zengru Di

Many academic disciplines - including information systems, computer science, and operations management - face scheduling problems as important decision making tasks. Since many scheduling problems are NP-hard in the strong sense, there is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-26 Gerhard Rauchecker , Guido Schryen

Social groups give the opportunity for a new form of caching. In this paper, we investigate how a social group of users can jointly optimize bandwidth usage, by each caching parts of the data demand, and then opportunistically share these…

Information Theory · Computer Science 2018-10-16 Mohammed Karmoose , Martina Cardone , Christina Fragouli

Imagine we want to split a group of agents into teams in the most \emph{efficient} way, considering that each agent has their own preferences about their teammates. This scenario is modeled by the extensively studied \textsc{Coalition…

Data Structures and Algorithms · Computer Science 2025-05-29 Foivos Fioravantes , Harmender Gahlawat , Nikolaos Melissinos

Although the technology of femtocells is highly promising, many challenging problems should be addressed before fully harvesting its potential. In this paper, we investigate the problem of cell association and handover management in…

Networking and Internet Architecture · Computer Science 2012-10-19 Hui Zhou , Donglin Hu , Shiwen Mao , Prathima Agrawal , Saketh Anuma Reddy
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