Research and Application Analysis of the Basic Theory of Queuing Theory

DOI

10.2991/978-94-6463-300-9_46How to use a DOI?

Keywords

Queuing theory; Common queuing models; Stochastic processes

Abstract

Queuing theory is a mathematical discipline that studies the behavior of queues or waiting lines. This article aims to provide a comprehensive examination of the core principles of queuing theory and explore its applications in various industries such as transportation, manufacturing, and telecommunications. In transportation, queuing theory helps in optimizing traffic flow, reducing congestion, and improving overall efficiency. By analyzing arrival rates, service times, and queue lengths, transportation planners can make informed decisions regarding capacity expansion, signal timing, and route planning. Queuing theory also plays a crucial role in managing queues at airports, bus terminals, and train stations, ensuring smooth passenger flow and minimizing waiting times. In manufacturing, queuing theory aids in production planning and control. By studying the interaction between machines, workstations, and buffers, manufacturers can optimize production processes, minimize bottlenecks, and reduce lead times. This leads to increased productivity, cost savings, and improved customer satisfaction. In the telecommunications industry, queuing theory helps in network design and performance analysis. By modeling call arrival rates, call durations, and network capacities, telecommunication providers can dimension their networks to handle peak loads efficiently. Queuing theory also assists in determining the optimal number of service channels, improving call routing strategies, and managing customer service levels. While queuing theory offers significant potential for optimization and efficiency improvements, there are also obstacles associated with its implementation. Real-world systems often involve complex interdependencies and stochastic behavior, making it challenging to develop accurate queuing models.

Copyright

© 2023 The Author(s)

Open Access

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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TY  - CONF
AU  - Yikuan Xiong
PY  - 2023
DA  - 2023/11/27
TI  - Research and Application Analysis of the Basic Theory of Queuing Theory
BT  - Proceedings of the 2023 International Conference on Image, Algorithms and Artificial Intelligence (ICIAAI 2023)
PB  - Atlantis Press
SP  - 454
EP  - 463
SN  - 2352-538X
UR  - https://doi.org/10.2991/978-94-6463-300-9_46
DO  - 10.2991/978-94-6463-300-9_46
ID  - Xiong2023
ER  -