Article ID: | iaor19921932 |
Country: | Germany |
Volume: | 22 |
Start Page Number: | 903 |
End Page Number: | 918 |
Publication Date: | Dec 1991 |
Journal: | Optimization |
Authors: | Emelicev V.A., Perepeliza V.A. |
Keywords: | graphs |
The paper is dedicated to the computation complexity of multi-objective optimization problems on graphs. The classes of multi-objective problems with polynomial complexity or being polynomially reduced to be NP-hard are marked out. The unsolvability of a series of combinatorial multi-objective problems has been set up by means of linear convolution algorithm. The sufficient conditions under which these algorithms are statistically efficient have also been obtained.