Paper Info
Title
Structures Of Systems 1. Cohomology Of Manufacturing And Supply Network- Like Systems
Abstract
Understanding the relation between large-scale and small-scale functionality is an acute problem in large systems. This paper presents possible structures that capture those relations. Here structure means a functor on a category, in this case the category of combinatorial systems that model manufacturing systems and supply networks. The details of the dynamics of these systems are frequently the domain of specialists and are ill understood outside such areas. Clustering activities in subsystems introduces covers as scales of analysis. This allows the development of sheaves of schedules and their properties which are analyzed by an adaptation of ech cohomology. These are applied in supply networks to characterize the fragmentation of these networks and to characterize the conditions for local changes in schedules to extend to the whole system. The intent of this paper is to see sheaves and their cohomology as analytical probes that can enhance our understanding of large-scale systems.
Year
DOI
Venue
2014
10.1080/03081079.2014.888551
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Keywords
Field
DocType
combinatorial systems, sheaves of schedules, measures and groupoids, Abelian categories of sheaves, cohomology, manufacturing networks, 08A99, 18F20, 18G60, 93A30
Discrete mathematics,Supply network,Manufacturing systems,Čech cohomology,Sheaf,Functor,Schedule,Cluster analysis,Cohomology,Mathematics
Journal
Volume
Issue
ISSN
43
5
0308-1079
Citations 
PageRank 
References 
2
0.52
3
Authors
1
Name
Order
Citations
PageRank
Andrew Macfarlane114817.18