A GENERALIZED INSERTION ALGORITHM FOR THE SERIATION PROBLEM

Citation
M. Gendreau et al., A GENERALIZED INSERTION ALGORITHM FOR THE SERIATION PROBLEM, Mathematical and computer modelling, 19(9), 1994, pp. 53-59
Citations number
25
Categorie Soggetti
Mathematics,Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming
ISSN journal
08957177
Volume
19
Issue
9
Year of publication
1994
Pages
53 - 59
Database
ISI
SICI code
0895-7177(1994)19:9<53:AGIAFT>2.0.ZU;2-V
Abstract
Given a binary matrix E, the Seriation Problem consists of determining a permutation of the rows of E minimizing the sum over all columns of the differences between the last and first nonzero element. This prob lem is derived from an archaeological context, but has applications in several other fields. We present a new generalized insertion heuristi c for this problem. The proposed heuristic outperforms other methods o n a series of benchmark problems.