Determining the minimum monitoring points in a road network which remains constant, even as the network expands plays a crucial role in efficient traffic monitoring, congestion detection and adaptive signal control. As traffic is the major issue in many cities, the minimum monitoring points can be located using a variation of metric dimension obtained by incorporating distance based multiset to distinguish adjacent vertices more effectively, called local multiset dimension(lmd). A convex polytope is a bounded geometric structure defined by a collection of convex points in n-dimensional Euclidean space Rn, which can be used to design and analyze networks. The lmd of N-gonal circular ladder is discussed and the result is extended to answer a road traffic problem.