Modeling & Simulation (M&S) is considered as a useful method in non-reference situations, as opposed to methods based on experimental data. For reliable simulation of the microscopic patterns based on the macroscopic results, our main equations are the macroscopic flow dynamics equation in simplified state Lighthill-Whitham-Richards (LWR), the microscopic Gibbs model, and the continuity equation for energy where queuing systems rely on discrete event simulation systems. Since these systems operate in an open loop structure and are time-consuming in terms of run time, it is possible to reach a model for microscopic simulation by using the results of the macroscopic system in an inner high-frequency closed loop structure. As a result, using a bidirectional optimization structure, the key parameters of the model can be calibrated.