One of the foremost skills of this time is blockchain, it has ongoing to develop numerous areas like economics, social networks, commerce, smart home, healthcare, and the Internet of Things. It has numerous welfares like dispersed net, heftiness, obtainability, constancy, secrecy, auditability, and liability. Blockchain of application is emergent, and it is originated that utmost of the effort is attentive to its engineering implementation. In this paper, progress blockchain schemes using queueing theory and offer scheme performance estimation. Design a dual dissimilar service phases Markovian service line up system, though the dual phases are appropriate to direct the removal procedure in miners‟ pool, and a novel blockchain is constructed. In the proposed model are computing enactment measures of transactions in the blocks such as the average amount of transactions in the system in the block, the average amount of transactions in the queue in the block, and block waiting time of transactions in the system as well as in the queue. The investigation found its restriction in the receiving rate is always a single unit greater than the arrivals of blocks for the steady working of the whole system. © 2020 Alpha Publishers. All rights reserved.