Scholarlink

<p>We analyse the efficiency of an M/M/1 queue with non homogeneous vacations and partial vacation interruption. This type of queues are successfully used to model Base Station Sleep modes in 5&#xa0;G technology. We consider two models where customers differ in their beliefs regarding the dynamic of the system. In the first model customers have only information on the server state, while, in the second model customers possess no information on the server status neither the number of customer on the system. In both models, we used the matrix geometric method to obtain the stationary distribution and derive the system performance measures. Additionally, we delved into customers’ behavior by determining individual and social joining probabilities. Our analysis extended to evaluating the system efficiency through the examination of efficiency measures such as throughput and the price of anarchy.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Efficiency of a markovian queue with non homogeneous vacations and strategic customers under partial vacation interruption

  • 期刊论文

  • 发表日期：

    2025年3月17日

查看全文
  • Sylia Abdoun,
  • Samira Taleb

摘要

We analyse the efficiency of an M/M/1 queue with non homogeneous vacations and partial vacation interruption. This type of queues are successfully used to model Base Station Sleep modes in 5 G technology. We consider two models where customers differ in their beliefs regarding the dynamic of the system. In the first model customers have only information on the server state, while, in the second model customers possess no information on the server status neither the number of customer on the system. In both models, we used the matrix geometric method to obtain the stationary distribution and derive the system performance measures. Additionally, we delved into customers’ behavior by determining individual and social joining probabilities. Our analysis extended to evaluating the system efficiency through the examination of efficiency measures such as throughput and the price of anarchy.