Title
Complexity analysis and optimization of the shortest path tour problem.
Abstract
The shortest path tour problem (SPTP) consists in finding a shortest path from a given origination node s to a given destination node d in a directed graph with nonnegative arc lengths with the constraint that the optimal path P should successively and sequentially pass through at least one node from given node subsets T 1, T 2, . . . , T N , where \({T_i \cap T_j = \emptyset, \forall\ i, j=1,\ldots,N,\ i \neq j}\). In this paper, it will proved that the SPTP belongs to the complexity class P and several alternative techniques will be presented to solve it.
Year
DOI
Venue
2012
10.1007/s11590-010-0258-y
Optimization Letters
Keywords
Field
DocType
Shortest path problems, Network flow problems, Network optimization, Combinatorial optimization
Complexity class,Discrete mathematics,Mathematical optimization,Combinatorics,Shortest path problem,Constrained Shortest Path First,Directed graph,Arc length,Combinatorial optimization,Mathematics,K shortest path routing
Journal
Volume
Issue
ISSN
6
1
1862-4480
Citations 
PageRank 
References 
8
0.66
9
Authors
1
Name
Order
Citations
PageRank
Paola Festa128725.32