The manuscript deals with the subject of determining the optimal delivery routes in terms of supplying urban distribution centers when minimizing the distance traveled in a particular region for the purpose of addressing city logistics issues using the specific Operations Research method, namely the Clarke-Wright method. Thus, the main paper objective is to examine the issue: what are the optimal transport journeys from the specific object among individual customers in a certain region in order to execute minimum transport performance? First two sections of the manuscript specify the relevant concepts regarding the issue of distribution tasks and vehicle routing problem, and presents data and methods in relation to this research study. The most significant part of the article models the individual routes to determine the optimal interconnections of urban distribution center and their supply from one logistics service center in a regional logistics network at a city logistics scale when applying the Clarke-Wright method. The last sections of the elaborated research study evaluate the major findings and discuss the possible future initiatives in the topic addressed.