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The transportation engineering developing who the application of the principal use planning, analysis and design to the disciplines comprising transportation: its vehicles, physical infrastructure, safety in travel, environment impacts and energy usage. The mathematical model in base archipelago was not much enough to research by transportation practiced. It had been of characteristic which different mainland. This paper using greenshields and greenberg models for approach real condition of the base archipelago. In the transportation involves working with the businessman, with industry, with citizen group, with elected officials, and with employes to the joint each segment of the public strip depended on at least one constructed facility. In this time there three components that included the discussion of the traffic of a microscop scale were flow, density and speed. At the greenshields model, the speed-density relationship show whose the value of speed higher than value of density lower with determination value 0,9755 where the curve of flow-density relationship show the value determination 0,8634 and for curva of flow-speed relationship showing whose maximum value of flow 1807 vehicles/hour at the value traffic speed 46 km/hour, traffic speed which at the lower or it the higher, so it condition given impact that the value of flow will going to low. on the other hand for greenberg model at speed-density relationship’s determination 0,9463, density-flow relationship show that the value minimum of density is 25 vehicles/km while value of flow is 1400 vehicles/hour and the relationship between flow-speed curve show that value maximum flow 1750 vehicles/hour with value speed 37. Base the value of each condition, so the greenshields model was better than greenberg model for this research. The mathematical model of the traffic flow which approach the real condition for the base archipelago was greenshields model.

Mathematical Model of Traffic Speed and Capacity in the Archipelago Base