本論文將提出一個針對LTE省電機制的數學分析模型，我們將利用我們的數學模型針對在LTE(Long-Term Evolution)無線網路系統下的DRX省電機制進行分析，我們將針對封包到來(packet arrival)的特性、在睡眠期間(DRX cycle)所累積的封包數量與其造成延遲(delay)的機率、與封包遺失率(packet loss rate)進行數學分析，除此之外我們在佇列模型(queuing model)的部分，希望能夠以M/G/1為目標進行實驗，希望在封包處理時間方面，能夠達到G(general)的效果，在本篇論文中我們在封包處理時間方面，將先以均勻與幾何機率模型為例進行分析，希望本篇論文的研究能夠達到拋磚引玉的效果，為後續數學分析相關的研究者提供一個可以參考的數值結果。

This paper presents a mathematical analysis model, we will use our mathematical model to analyze the power saving mechanism for DRX in LTE (Long-Term Evolution) wireless network system, we will focus on the arrival of the packet arrival characteristics, the number of packets in the sleeping period (DRX cycle) the cumulative probability of their delay , and the packet loss rate to mathematical analysis, in addition to our queue model (queuing model) part, want to be able to experiment with M/G/1 goal, hope packet processing time, to achieve G (general) effect, in this paper we have in terms of packet processing time will be Uniform and Geometric probability model as an example for analysis, I hope to achieve this thesis studies the effect of forward for the subsequent mathematical analysis related to the researcher provides a numerical results can be referenced.

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