Modeling and Simulation of Tandem Tollbooth Operations with Max-Algebra Approach

Authors:
Young-Chae Hong;Dong-Kyu Kim;Seung-Young Kho;Soo Wook Kim;Hongsuk Yang
Affiliations:
Industrial and Operations Engineering, University of Michigan, Ann Arbor, USA 48109;Civil and Environmental Engineering, Seoul National University, Seoul, Republic of Korea 152-744;Civil and Environmental Engineering, Seoul National University, Seoul, Republic of Korea 152-744;Graduate School of Business, Seoul National University, Seoul, Republic of Korea 151-742;Graduate School of Business, Seoul National University, Seoul, Republic of Korea 151-742
Venue:
FGIT '09 Proceedings of the 1st International Conference on Future Generation Information Technology
Year:
2009

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Abstract

This study proposes a new model to simulate tandem tollbooth system in order to enhance planning and management of toll plaza facilities. A discrete-event stochastic microscopic simulation model is presented and developed to evaluate the operational performance of tandem tollbooth. Traffic behavior is represented using a set of mathematical and logical algorithms. Modified versions of Max-algebra approach are integrated into this new algorithm to simulate traffic operation at toll plazas. Computational results show that the benefit of tandem tollbooth depends on the number of serial tollbooth, service time and reaction time of drivers. The capacity of tandem tollbooth increases when service time follows a normal distribution rather than negative exponential distribution. Specifically, the lower variance of service time is, the better capacity tollbooth has. In addition, the ratio of driver's reaction time to service time affects the increasing ratio of the capacity extended by tollbooth.