@article {IOPORT.04018804, author = {Dushin, B.I. and Babushkin, A.I.}, title = {On the determination of the optimal combination of two priority rules in the travelling salesman problem.}, year = {1985}, journal = {Kibernetika}, volume = {1985}, number = {4}, issn = {0023-1274}, pages = {122-124}, publisher = {Izdatel'stvo Naukova Dumka, Kiev}, abstract = {For the given two orderings $\Pi\sb 1$ and $\Pi\sb 2$ of vertices of a weighted graph the authors consider a rule for constructing a new ordering $\Pi$. They show that using this rule it is possible to construct shortest paths in time $O(n\sp 3)$. If $\Pi\sb 1(i)=\Pi\sb 2(n- i-1)$ and $\Pi\sb 1$ and $\Pi\sb 2$ are allowed to be changed dynamically during the construction of $\Pi$ then by using the rule Hamiltonian cycles of minimal length can be constructed.}, reviewer = {M.Frumkin}, identifier = {04018804}, }