| Files: |
Description |
File size |
Format |
| Fulltext |
162K
|
PDF (requires Acrobat Reader) |
| |
|
| Author: |
Johan Wästlund |
| Title: |
The variance and higher moments in the random assignment problem |
| Language: |
English |
| Issue: |
8 |
| Abstract [en]: |
We obtain exact formulas
for all moments of the cost Cn of the inimum assignment
in the complete bipartite graph Kn,n with independent exp(1)
edge costs. In particular we prove that as n tends to infinity, the variance
of Cn is c/n+O(1/n2), where c
= 4ζ(2)-4ζ(3), or approximately 1.7715. |
| PDF |
| Publisher: |
Linköping University Electronic Press |
| Year: |
2005 |
| Available: |
2005-10-14 |
| Pages: |
21 |
| Series: |
Linköping Studies in Mathematics |
| ISSN (print): |
0348-2960 |
| ISSN (online): |
1652-4454 |
| Checksum: |
78339cc644878f2559adbf2feb457a17 /home/ep/www/ea/lsm/2005/008/lsm05008.pdf
(MD5) |
| PGP: |
PGP |
| SPECIAL INFO: |
Checksum, PGP and persistence |
| REFERENCE TO THIS PAGE: |