Can anyone give an idea on how to bring cyclic randomization without using randc keyword and queue/array as for reference
Common methods for genearting cyclic randomization is
Using randc keyword
using a queue/array, checking whether element to be randomized has values in queue/array and pushing the newely randomized value into the array in post_randomize()
I am trying to get the cyclic randomization behavior with methods not mentioned above
There is absolutely no way of replicaiting the functionality of the randc modifier without using an array of used or unused values. If there are any constraints on the random variable, you have no idea how many values need to be generated before you need to restart the cycle.
If you are looking for a synthesizable cycle of noncontiguous values, you might want to study linear feedback shift registers (LFSRs).
It might help to explain where your requirements are coming from if not just an interview question.