Equilibrium Behaviour of Double-Sided Queueing System with Dependent Matching Time [thesis]

Cheryl Yang
In this thesis, we consider the equilibrium behaviour of a double-ended queueing system with dependent matching time in the context of taxi-passenger systems at airport terminal pickup. We extend the standard taxi-passenger model by considering random matching time between taxis and passengers in an airport terminal pickup setting. For two types of matching time distribution, we examine this model through analysis of equilibrium behaviour and optimal strategies. We demonstrate in detail how to
more » ... erive the equilibrium joining strategies for passengers arriving at the terminal and the existence of a socially optimal strategies for partially observable and fully observable cases. Numerical experiments are used to examine the behaviour of social welfare and compare cases. iii Acknowledgements I would like to give my deepest gratitude to my supervisor, Dr. Yiqiang Zhao, for his tremendous support throughout my graduate program. Dr. Zhao gave me the opportunity to explore and be exposed to various applications of queueing theory and offered invaluable guidance and advice in my thesis research. Without his help, this thesis would not be possible. I am grateful for his patience, the time he has spent advising me, and his moral support that guided me through my studies at Carleton University. I would also like to thank Zhen Wang of Nanjing University of Science and Technology for his gracious help and patience. I extend my gratitude to Carleton University and the School of Mathematics and Statistics for providing me the opportunity for academic and professional development and for the financial support that aided me during my graduate studies. I would like to thank the members of the School of Mathematics and Statistics community; the knowledgeable and supportive faculty members, administrators, and my peers for endless encouragement and broadening my understanding of the queueing theory field.
doi:10.22215/etd/2020-14163 fatcat:u6aolabl5jh2nafokfbt3vh6rq