Title
On Asymptotically Optimal Approach To The M-Peripatetic Salesman Problem On Random Inputs
Abstract
We study the m-Peripatetic Salesman Problem on random inputs. In earlier papers we proposed a polynomial asymptotically optimal algorithm for the m-PSP with different weight functions on random inputs. The probabilistic analysis carried out for that algorithm is not suitable in the case of the m-PSP with identical weight functions.In this paper we present an approach which under certain conditions gives polynomial asymptotically optimal algorithms for the m-PSP on random inputs with identical weight functions and for the m-PSP with different weight functions, as well. We describe in detail the cases of uniform and shifted exponential distributions of random inputs.
Year
DOI
Venue
2016
10.1007/978-3-319-44914-2_11
DISCRETE OPTIMIZATION AND OPERATIONS RESEARCH, DOOR 2016
Keywords
DocType
Volume
m-PSP, Asymptotically optimal algorithm, Performance guarantees, Random inputs, Uniform distribution, Shifted exponential distribution
Conference
9869
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
2
3
Name
Order
Citations
PageRank
Edward Kh. Gimadi100.34
Alexey M. Istomin200.34
O. Yu. Tsidulko312.85