1 / 6

Solving Traveling salesman Problem with Hopfield Net

Solving Traveling salesman Problem with Hopfield Net. Aiming Lu. Traveling Salesman Problem.

zahi
Download Presentation

Solving Traveling salesman Problem with Hopfield Net

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Solving Traveling salesman Problem with Hopfield Net Aiming Lu

  2. Traveling Salesman Problem • Given a finite number of cities along with the cost of travel between each pair of them, find the cheapest way of visiting all the cities and returning to your starting point. Every city can only be visited only once.

  3. Apply Hopfield net to TSP • Use an n by n matrix to represent a tour. Vxi– x-th city as the i-th stop. • The problem is to construct an energy function that can be used to find a stable state of the network that expresses the cheapest valid city tours.

  4. Energy Function E1: Row inhibition, favor only 1 city in a row E2:Col inhibition, favor only 1 city in a col E3: Global inhibition, favor the state that all cities are present E4:Distance inhibition, favor minimum distance of the tour A,B,C,D,N: are constants

  5. Learning Procedure • Initiation • Cities distance • uxi(0) = u00 + ((rand-1)/10.*u0) • Repeat iteration until stop criterion is satisfied: uxi(t+1) = uxi(t) + t(duxi/dt) Vxi=(1+tanh(uxi/u0)

  6. Result

More Related