Title
An introduction to multi-parameter complexity analysis of discrete problems
Abstract
A notion of multi-parameter complexity analysis of a discrete problem as the determining of complexities of its subproblems over all possible combinations of constraints on key parameters is introduced, and a notion of a basis system of subproblems is defined. Basic theorems on the existence, uniqueness and finiteness of the basis system are established. As an illustration to this approach, some results on the 4-parameter complexity analysis of the open shop scheduling problem and of the connected list coloring problem are presented.
Year
DOI
Venue
2005
10.1016/j.ejor.2004.04.009
European Journal of Operational Research
Keywords
Field
DocType
Complexity theory,Combinatorial optimization,Parameterized family of subproblems,Scheduling,Coloring
Existence theorem,Uniqueness,Mathematical optimization,Overlapping subproblems,Scheduling (computing),Uniqueness theorem for Poisson's equation,List coloring,Open-shop scheduling,Combinatorial optimization,Mathematics
Journal
Volume
Issue
ISSN
165
2
0377-2217
Citations 
PageRank 
References 
4
0.42
0
Authors
1
Name
Order
Citations
PageRank
Sergey V. Sevastianov1667.09