The Application of Queueing Theory in the Parking Lot: a Literature Review

Abstract

Waiting lines or queues are common in life, we often encounter a lot of queueing systems to wait for service regarding both crowd-based and random. Indeed, queing system is ubiquitous from customers queueing to pay at the supermarket, customers coming to make transactions at banks or customers waiting for medical examination at the hospital, etc. Queueing theory is the mathematical study of waiting for lines or queues and is one of the most commonly used mathematical tools for the performance evaluation of systems. Applications of queueing theory are increasing in various fields of life for example the banking sector, healthcare, traffic control, and computer science. This paper reviews the contributions and applications of queueing theory in parking lots. Applications of queueing theory in modeling parking lots processes are reviewed and categorized. Research purpose:This paper reviews the contributions and applications of queueing theory in parking lots. Applications of queueing theory in modeling parking lots processes are reviewed and categorized. Our purpose was to identify the leading areas of parking problems as modeled by queueing theory.

Admission and pricing optimization of on-street parking with delivery bays

“…We model a parking lot as a loss queue, where drivers enter the parking lot only if there is an available parking spot; otherwise, they balk. This model is used in most studies on parking lot management ( Mai & Cuong, 2021 ). Xiao et al (2018) prove that the loss queue model performs well in estimating the system parameters and making occupancy predictions.…”

“…A growing number of recent studies analyze parking lots as queues. Mai & Cuong (2021) provide a complete literature review on parking lots modeled using queues. We model a parking lot as a loss queue, where drivers enter the parking lot only if there is an available parking spot; otherwise, they balk.…”