Benefits Brought by Basic Models of Queuing Theory in Terms of Transportation

Abstract

This essay is dedicated to emphasizing the importance of basic queuing models, by analyzing with specific examples in the transported situations. The most significant part is improving the intensity of service and reduce the total cost, helping decision makers make the optimism choices both considers the allocation of resources and service methods. This essay focus on two basic queuing models, M/M/1 and M/M/c queuing models. In the specific example of two queuing models, motorway charging is an example. By calculating the probability of vacancy for both ETC and MTC channels, the total cost was estimated. After the calculation for some specific value of the rate that vehicles having ETC, the percentages of ETC channels can be decided correspond to different rate of possessing ETC. In the example of M/M/c queuing model, the parking gate machine is exemplified. The author compares the total cost for two situations with c = 2 and c = 3 . The result of comparison shows the better options. However, those applications are for the preliminary step. The decision makers should improve their own models based on the realistic conditions to be more accurate and closer to the reality, thereby improving the feasibility.