In this research paper, we analyzed the reliability measures of two units identical system who's each unit has operative and complete failure modes. Repairing of the failed unit is done by a server who grabs some time to turn up at the system. Also, the server makes alternate of the failed unit by fresh ones whenever he is not capable to fix the failed unit in a pre precise time. The expressions for different consideration of vital signs have been derived using semi Markov process and RPT. Using arbitrary distributions to all random variable, some numerical results have been obtained to depict the behavior of MTSF, availability and profit with respect to the replacement rate. Gitanjali "Reliability Analysis of Identical unit System with Arbitrary Distribution Subject to Appearance Time of the Server" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-5 , August 2019, URL: https://www.ijtsrd.com/papers/ijtsrd26408.pdf