Sinding date field to elastic search through logstash

As I read your topic again are you looking to have a field called time_stamp in your index or setting that as @timestamp?

What you are doing here is copying the time_stamp field into @timestamp.

date{
		match => ["time_stamp" , "yyyy-MM-dd HH:mm:ss,SSS"]
	}

You run these in the Kibana Dev Console.