Title: A new mathematical approach to supporting group technology

Authors: Tibor Tóth; Sándor Radeleczki; Laura Veres; Attila Körei

Addresses: Department of Information Engineering, University of Miskolc, 3515, Hungary ' Department of Analysis, University of Miskolc, 3515, Hungary ' Department of Analysis, University of Miskolc, 3515, Hungary ' Department of Applied Mathematics, University of Miskolc, 3515, Hungary

Abstract: This paper presents a mathematical approach which can be successfully applied in different group technology problems. The method is originated from formal concept analysis (FCA). We produce some particular extent partitions of a formal context which encodes the relationship between given technical objects and their attributes. We show how to define the part type notions and also how to solve the cell formation problem by means of these extent partitions. The main focus of the paper is a solution method for the determination of master parts. The method is based on notions defined by modal operators analogously to formal concepts and uses the extent partitions of the complementary context. It follows from the nature of the problem that several solutions can exist; a consistency measure is introduced in order to rank them. [Received 1 June 2012; Revised 12 April 2013; Accepted 17 June 2013]

Keywords: group technology; master parts; cell formation; formal concept analysis; FCA; extent partitions; modal operators; consistency measure; manufacturing cells; cellular manufacturing.

DOI: 10.1504/EJIE.2014.065734

European Journal of Industrial Engineering, 2014 Vol.8 No.5, pp.716 - 737

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 12 Nov 2014 *

Full-text access for editors Access for subscribers Purchase this article Comment on this article