2013 Fiscal Year Final Research Report
Analysis on history-based pivot rules of linear programming
| Project/Area Number |
23700004
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Fundamental theory of informatics
|
|---|
| Research Institution | Tohoku University |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2011 – 2013
|
| Keywords | 線形計画問題 / 単体法 |
|---|
| Research Abstract |
The simplex method is one of various approaches to solve a linear program. The simplex method was developed by Dantzig in 1947. It is well known whether there exist pivoting algorithms to solve a linear program in polynomial time. This problem has been considered for years. In this research, we focused on history-based pivoting rules developed by Zadeh to attack the open problem.
(1) Construction of a method to enumerate LP digraphs, which describes a behavior of pivoting algorithms; (2) Analysis of history-based pivoting rules on the LP digraphs; (3) Verification of some conjectures on the number of applying pivoting rules
|
Research Products
(10 results)
