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Analysis of blockchain system based on M/(M_1, M_2)/1 vacation queueing model

机译:基于M /(M_1,M_2)/ 1度假队列模型的区块链系统分析

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摘要

With the rapid development of technology, the issues about blockchain are getting more and more attention from scholars. In order to study the operation of the blockchain system, this paper simulated the transaction confirmation process of a blockchain system with two miners. Combining with practice, factors such as adverse transactions, impatience phenomena of transactions, fault repairable conditions of the mining process and a spare miner are considered. An M/(M-1,M-2)/1 vacation queueing model with negative customers, impatient customers, optional services, repairable faults and a spare server is established. The stationary distribution of the system is obtained by using the matrix-geometric solution method, and expressions of the average confirmation time of transactions and other performance indexes are given. The influence of each parameter on the performance indexes of blockchain system is analyzed by using MATLAB software. Revenue function and equilibrium sleep rate of miners are discussed for optimizing the blockchain system.
机译:随着技术的快速发展,区块链的问题越来越多地关注学者。为了研究区块链系统的操作,本文模拟了两个矿工区块链系统的交易确认过程。结合实践,诸如不利交易的因素,交易不耐烦现象,挖掘过程的故障可修复条件和备用矿工。建立了M /(M-1,M-2)/ 1假期队列型号,具有负客户,不耐烦的客户,可选服务,可修复的故障和备用服务器。通过使用矩阵 - 几何解方法获得系统的固定分布,并给出了交易的平均确认时间和其他性能指标的表达。使用MATLAB软件分析了每个参数对区块链系统性能指标的影响。讨论了矿工的收入功能和均衡睡眠率来优化区块链系统。

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