In this paper we have discussed tandem queue with two service nodes. In this system, the customer require services at both nodes elaborated RDX mechanism and IBM web sphere in artificial intelligence (AI). The first essential service (FES) starts in data search and initiating the data to be required in using the RDX mechanism then the second essential service (SES) starts from validating the information in IBM web sphere and insight with the use of AI. After the completion of a service at node1 if the minimum number of customer is less than ‘a’ then the server leaves for secondary job. The service started once the vacation reaches the threshold value. When the service ends at node 1, it departs from here to proceed node 2 and receive the second service from there. We have to find PGF of a queue size at an arbitrary time epoch by using supplementary variable technique. Various characteristics of the queueing system are also obtained with a numerical solution.