A Method to Solve the Neighbourhood Problem
- 25 Downloads
This chapter deals with a special degeneracy problem, namely the problem of determining all neighbouring vertices of a degenerate vertex of a convex polytope. In the following we call it the neighbourhood problem. The determination of all neighbouring vertices of a nondegenerate vertex is unproblematic, since a nondegenerate vertex has exactly one pivot tableau and all neighbouring vertices can be determined on the basis of this tableau in one pivot step each time. In contrast to this, a degenerate vertex xo is associated with different pivot tableaux, and in exceptional cases only can all neighbouring vertices be computed using just one pivot tableau of xo 1).
KeywordsLinear Programming Problem Tree Node Neighbouring Vertex Neighbourhood Problem Basic Feasible Solution
Unable to display preview. Download preview PDF.