We are using adobe flash player projector 32 to browse application built using flex, action script and servlet.
Whenever request processing takes around 30 seconds, request time out is happening and nothing gets displayed on page where as same functionality works great using internet explorer with adobe flash plugin, is there any way to increase request timeout or any workaround to solve this issue.
No, sorry. The timeout isn't tunable. Adobe AIR (which is EOL, but can be licensed from Harman) was the officially supported path for building desktop applications using Flash technology. The projector is a throwback to the days of interactive CD-ROMs. It's primarily intended for development and debugging convenience.
You would really need to solve the performance issue in your application (optimize, window your data, offload the slow process to a worker, etc.). Adobe Scout CC (the Flash performance profiler) might help, if you don't understand what the slow code is.
Harman Air SDK info:
Apache Flex / FlexJS:
Adobe Scout CC