# A Resource Allocation Scheme for Packet Delay Minimization in Multi-Tier Cellular-Based IoT Networks

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## Abstract

**:**

## 1. Introduction

## 2. Related Literature

## 3. System Model

#### 3.1. Channel Model

#### 3.2. Multi-Tier Cellular-Based IoT Network Model

#### 3.3. Queueing Model in Multi-Tier Cellular-Based IoT Network

#### 3.4. Mean Packet Delay of Packet with Priority

#### 3.4.1. Without Packets in the Channel

#### 3.4.2. With Packets in the Channel

#### 3.5. Mean Packet Delay of Packets without Priority

#### 3.5.1. Without Packets with Priority in the Channel

#### 3.5.2. With Packets with Priority in the Channel

## 4. Problem Formulation

#### 4.1. Mean Packet Arrival Rate

#### 4.2. Mean Packet Transmission Delay

#### 4.3. Channel Occupancy Time in Service

#### 4.4. Total Packet Delay Minimization Problem

Algorithm 1: Proposed algorithm for total packet transmission delay minimization. |

## 5. Numerical Results

## 6. Conclusions

## Author Contributions

## Funding

## Data Availability Statement

## Conflicts of Interest

## Appendix A

#### Appendix A.1

## Appendix B

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**MDPI and ACS Style**

Li, J.; Guan, W.; Tang, Z.
A Resource Allocation Scheme for Packet Delay Minimization in Multi-Tier Cellular-Based IoT Networks. *Mathematics* **2023**, *11*, 4538.
https://doi.org/10.3390/math11214538

**AMA Style**

Li J, Guan W, Tang Z.
A Resource Allocation Scheme for Packet Delay Minimization in Multi-Tier Cellular-Based IoT Networks. *Mathematics*. 2023; 11(21):4538.
https://doi.org/10.3390/math11214538

**Chicago/Turabian Style**

Li, Jin, Wenyang Guan, and Zuoyin Tang.
2023. "A Resource Allocation Scheme for Packet Delay Minimization in Multi-Tier Cellular-Based IoT Networks" *Mathematics* 11, no. 21: 4538.
https://doi.org/10.3390/math11214538