Title
A matheuristic for the cell formation problem.
Abstract
In this paper we propose a GRASP matheuristic coupled with an Integer Programming refinement based on Set Partitioning to solve the Cell Formation Problem. We use the grouping efficacy measure to evaluate the solutions. As this measure is nonlinear, we propose a fractional Set Partitioning approach and its linearization. Our method is validated on a set of 35 instances from the literature. The experiments found four unknown solutions. For all instances with known optima, our method is able to determine the optimum solutions.
Year
DOI
Venue
2018
10.1007/s11590-017-1200-3
Optimization Letters
Keywords
Field
DocType
Combinatorial optimization, Matheuristics, Cellular manufacturing, Group technology, Hybrid heuristics
Cell formation,Mathematical optimization,Nonlinear system,GRASP,Cellular manufacturing,Algorithm,Combinatorial optimization,Group technology,Integer programming,Mathematics,Linearization
Journal
Volume
Issue
ISSN
12
2
1862-4472
Citations 
PageRank 
References 
2
0.36
12
Authors
4
Name
Order
Citations
PageRank
Rian G. S. Pinheiro1314.72
Ivan C. Martins2202.14
Fábio Protti335746.14
Luiz Satoru Ochi447434.62