Queue Analysis, Applications of Probability & Concept of Urban Planning to Solve the Queue Problem in Transportation Engineering

Abstract

Queue is the study of traffic behavior near a certain section where demand exceeds available capacity. Queues can be seen in many common situations: boarding a bus or train or plane, traffic signal, etc. One of the major issues in the analysis of any traffic system is the analysis of delay. A microscopic model of traffic flow attempts to analyze the flow of traffic by modeling driver-driver and driver-road interactions within a traffic stream which respectively analyzes the interaction between a driver and another driver on road and of a single driver on the different features of a road, these theory deals with various types of arrival & departure rate of vehicle & traffic behavior. Queue discipline deals with FIFO, LIFO, SIRO, etc. The probability of exactly "n” vehicles arriving over time "t” time interval calculated by using probability theory. Similarly no vehicle comes over time period "t” also calculated by using probability theory.

This paper also discusses how to solve the queue problem by improving urban design, city planning, Zoning laws that encourage mixed-use development which reduces distances between residential, commercial, retail, and recreational destinations (and encourage cycling and walking) Carfree cities, car-light cities, and eco-cities designed to eliminate the need to travel by car for most inhabitants. Transit-oriented developments are residential and commercial areas designed to maximize access to public transport by providing a transit station or stop (train station, metro station, tram stop, or bus stop)