HAUSDORFF CONTINUITY OF SOLUTION MAPPINGS FOR PARAMETER ROUTE COST MINIMIZATION PROBLEM

Abstract

This paper investigates the problem of minimizing the cost of parametric routes, focusing on the Hausdorff continuity of approximate solution mappings. First, we analyze a model of the parametric route cost minimization problem. Definitions of continuity and arcwise connectivity of mappings are then presented. Finally, the Hausdorff continuity of the approximate solution mapping for the problem is established based on the assumption of arcwise quasi-convexity of the route cost functions.