Abstract
Blockchain system is affected by many factors with the rapid development of technology. In order to study the blockchain system more realistically, the processes of transaction consensus and transaction storage are simulated in this paper, and factors such as interference factors, impatience phenomena of transactions and fault repairable conditions of the system during the service process are considered. Vacation queueing model with negative customers, impatient customers, repairable fault and two-phase service that customers can select sever in the first service is established. Using the matrix-geometric solution method, the expressions of the average confirmation time of transactions and other performance measures are given. The parameters of the system are obtained based on the statistics of the blockchain transaction data. The influence of each parameter on the performance measures of blockchain system is analyzed by using MATLAB software. The equilibrium reception rate is discussed by constructing the revenue function of the system, and equilibrium numerical results are obtained.
Highlights
Blockchain is a decentralized, public, safe, point-to-point transporting and distributed ledger [1], [2]
Blockchain system with the consensus mechanism is getting more and more attention, a novel sleep blockchain queueing system combined with the consensus protocol of blockchain system is creatively proposed and analyzed in this paper, and a vacation queuing model with negative customers, impatient customers, repairable fault and two-phase service that customers can select sever in the first service was established
The steady state distribution of the system was obtained by using the matrix-geometric solution method, and the expressions of the average number of transactions and the average confirmation time of transactions were obtained
Summary
Blockchain is a decentralized, public, safe, point-to-point transporting and distributed ledger [1], [2]. Yang et al [26] introduced Delegated Proof of Stake in Proof of Work to improve the consensus algorithm, which can quickly find and replace malicious nodes and effectively improve the security of the blockchain system She et al [27] applied the blockchain trust mechanism to detect malicious nodes in wireless sensor networks, which could trace the process of detection. The loss of transactions due to congestion and the adverse effects of interference factors on the system are considered, a novel sleep blockchain queueing system with the consensus protocol of blockchain system is creatively proposed and analyzed.
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