The paper deals with small shipment delivery planning problems for cities with hard and unstable or intensive traffic. The problem is very significant today especially for big cities. When planning road transportation and routes within a big city it is expedient to work out the optimal system and achieve the best result. The most important criteria is a ratio customers' demand satisfaction - it is not enough to plan minimal transportation costs or vehicle's run only. Total delivery time as well as a rate of accuracy often is a corner-stone factor, which influence the quality of delivery. It is necessary to choose the best order how to serve customers into each circular route. The authors divide small shipment delivery problem into two groups - "problematic" and "non-problematic" routes planning (depending on the traffic intensity in the particular city). The authors of the paper recommend using of the minimal growth method (MGM) to improve vehicle route planning problems especially in cities with intensive traffic