Optimization Model and Simulation of the Queuing System with Quickpass

Queuing system with QuickPass is a queuing system which has both the regular line and the QuickPass line. The QuickPass line allows customers to significantly cut down their waiting time by scheduling their ride in advance. The purpose of this paper is to propose an innovative QuickPass system model that maximizes customers' enjoyment. We propose that only a small portion of customers can effectively use QuickPass, and a good system will maximize this group subject to the constraints that: (1) maximum waiting time for QuickPass users is small; (2) all customers' enjoyment are maximized; (3) the regular users are not significantly affected. We simulate the model with a MATLAB program and randomized input from our line formation model and find that the system quickly converges to a nearly optimal solution subject to our constraints. We discuss the effects of these findings on the expected effectiveness of the system in a real environment. We conclude that the model is practical