Title
Problems, Models and Complexity. Part II: Application to the DLSP
Abstract
In Part I of this study, we suggest to identify an operations research (OR) problem with the equivalence class of models describing the problem and enhance the standard computer-science theory of computational complexity to be applicable to this situation of an often model-based OR context. The Discrete Lot-sizing and Scheduling Problem (DLSP) is analysed here in detail to demonstrate the difficulties which can arise if these aspects are neglected and to illustrate the new theoretical concept. In addition, a new minimal model is introduced for the DLSP which makes this problem eventually amenable to a rigorous analysis of its computational complexity.
Year
DOI
Venue
2003
10.1023/A:1024979501350
Journal of Mathematical Modelling and Algorithms
Keywords
Field
DocType
production planning, DLSP, problem complexity, philosophy of modeling
Computational problem,Mathematical optimization,Job shop scheduling,Computer science,Minimal model,Counting problem,Production planning,Complete,Equivalence class,Computational complexity theory
Journal
Volume
Issue
ISSN
2
2
1572-9214
Citations 
PageRank 
References 
1
0.35
5
Authors
3
Name
Order
Citations
PageRank
Wolfgang Brüggemann1101.05
Kathrin Fischer210.35
hermann jahnke3353.77