This report is a comparison between the next-event and time-slicing simulation techniques. A model of an elevator in an office building is defined and implemented using the two paradigms; conclusions concerning strengths and weaknesses of the paradigms are thereafter drawn based on implementation time-taking and simulation results. It's concluded that the obvious discrete properties of the elevator makes it much easier, faster and more intuitive to be implemented with next-event technique. However, no obvious diversities in the implementation time-taking are noticed.