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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

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

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

In this paper, we consider the problem of forming machine cell in cellular manufacturing (CM). The major problem in the design of a CM system is to identify the part families and machine groups and consequently to form manufacturing cells.…

Applications · Statistics 2008-12-18 Wafik Hachicha , Faouzi Masmoudi , Mohamed Haddar

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

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

We study the problems of multi-person pose segmentation in natural images and instance segmentation in biological images with crowded cells. We formulate these distinct tasks as integer programs where variables correspond to poses/cells. To…

Computer Vision and Pattern Recognition · Computer Science 2016-12-02 Shaofei Wang , Chong Zhang , Miguel A. Gonzalez-Ballester , Julian Yarkony

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

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

In the design of cellular manufacturing systems (CMS), numerous technological and managerial decisions must be made at both the design and operational stages. The first step in designing a CMS involves grouping parts and machines. In this…

Artificial Intelligence · Computer Science 2026-05-19 Md. Kutub Uddin , Md. Saiful Islam , Md Abrar Jahin , Md. Tanjid Hossen Irfan , Md. Saiful Islam Seam , M. F. Mridha

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

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 classical Dinkelbach method (1967) solves fractional programming via a parametric approach, generating a decreasing upper bound sequence that converges to the optimum. Its important variant, the interval Dinkelbach method (1991),…

Optimization and Control · Mathematics 2025-10-31 Hanzhi Chen , Chuyue Zheng , Yong Xia

The present paper applied Principal Component Analysis (PCA) for grouping of machines and parts so that the part families can be processed in the cells formed by those associated machines. An incidence matrix with binary entries has been…

Adaptation and Self-Organizing Systems · Physics 2012-02-27 Manojit Chattopadhyay , Surajit Chattopadhyay , Pranab K Dan

Given an algorithm the quality of the output largely depends on a proper specification of the input parameters. A lot of work has been done to analyze tasks related to using a fixed model [25] and finding a good set of inputs. In this paper…

Graphics · Computer Science 2018-12-19 M. Schwarzl , L. Autin , G. Johnson , T. Torsney-Weir , T. Möller

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

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

The Set Partitioning Problem is a combinatorial optimization problem with wide-ranging applicability, used to model various real-world tasks such as facility location and crew scheduling. However, real-world applications often require…

Optimization and Control · Mathematics 2025-03-24 Yasuyuki Ihara

This applied research article explores the application of Mixed-Integer Linear Programming (MILP) to address line-balancing challenges in the garment industry, focusing on optimizing production processes under multiple constraints. By…

Optimization and Control · Mathematics 2025-04-10 Ray Wai Man Kong , Ding Ning , Theodore Ho Tin Kong
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