带有优先级、空块及批量验证的区块链系统的社会最优  

Social optimization of blockchain system with priority, empty block and batch confirmation

作　　者：张大鹏 袁红莉[2] ZHANG Dapeng;YUAN Hongli(School of IoT Engineering Jiangsu Vocational College of Information Technology,Wuxi Jiangsu 214153 China;School of Information Science and Engineering Yanshan University,Qinhuangdao Hebei 066004 China)

机构地区：[1]江苏信息职业技术学院物联网工程学院,江苏无锡214153 [2]燕山大学信息科学与工程学院,河北秦皇岛066004

出　　处：《燕山大学学报》2022年第5期461-470,共10页Journal of Yanshan University

基　　金：国家自然科学基金资助项目(61973261);江苏省高等学校自然科学研究资助项目(18KJD510011);江苏省高等职业教育高水平专业群建设项目(苏教职函[2021]1号)。

摘　　要：区块链技术目前已应用到金融、教育、能源等众多领域,为了研究带有优先级、空块及批量验证的区块链系统的性能,在离散时域下,建立带有优先级、空载服务期及批量服务的G-限量休假模型。假设区块链系统有Ⅰ类交易和Ⅱ类交易,Ⅰ类交易优先权高于Ⅱ类交易。使用再生循环法和逝去时间法,得到两类交易的平均确认时间。进行数值实验与仿真实验,展示系统参数对Ⅱ类交易的平均确认时间的影响。通过建立收益函数,研究Ⅰ类交易与Ⅱ类交易的纳什均衡行为与区块链系统的社会最优行为,给出定价策略的数值结果以实现社会收益的最优。As an approach to solve the consistency problem in peer-to-peer networks, blockchain has been applied to many fields such as finance, education, energy and so on.In order to study the performance of blockchain system with priority, empty block and batch confirmation, a G-limited vacation model with priority, empty block and zero service period is established based on discrete time.The blockchain system is supposed to have two types of transactions, I(High) and II(Low),in terms of different level of priority.Then the average confirmation time of these two types of transactions can be obtained through regeneration cycle and elapsed time approaches.Numerical experiments and simulation experiments show the influence of system parameters on the average confirmation time.Based on the study of Nash equilibrium behavior of these two types of transactions and social optimization behavior of the blockchain system, the numerical result of pricing strategy is formulated through building revenue functions to achieve social optimization.

关 键 词：区块链 优先级 G限量休假 纳什均衡 社会最优 

分 类 号：TP311[自动化与计算机技术—计算机软件与理论]