(Edit You can solve it by just using asynchronous messages as @sim points out. That will just do. The answer below is showing what is going on under the hood. So if you don't care about the details, go with that answer.)
You are asking more a design than an UML question. Namely, how do concurrent instances talk to each other. You said first
Method_A() is running in a thread and sits blocked waiting
which simply means that it can not accept anything since it is blocked. Now, guessing from the context of your question, I assume that you still want to communicate with that instance since
in different thread will then call Method_B()
So, in order to be able to accept a message the instance must be in an appropriate state. There are a couple of ways to achieve that. One simple is, if the according OS has support for that, to return to the scheduler and tell him that it's waiting for some message.
Now when method_b
is being called you know inside Object1
that you are in some kind of idle state inside method_a
and do appropriate (return-) action.
Another way would be to poll the scheduler for incoming messages and handle them.
You need to keep in mind that sending a message usually not directly deals with the instance but tells the system scheduler to interact with the appropriate instance (at least in most OSs).
I just remember from the Modula2 compiler I once wrote that it has a concept of coroutines which allows a concurrent thread to run within the compiled code. But basically that is just mapped to two independent threads running under the hood of a semi-single one and you'd depict that with two life-lines when going into detail.
N.B.: Rather than method it should be operation (since that is was is invoked by a message; while the method is what is implemented inside the operation). And as per common convention they should start with a lower case char.
And also: do NOT use classes in a SD. Unfortunately EA still allows that (why? Ask them!). Somewhere hidden in their docs there is a sentence that you must use instances. Else the model will break. A SD is always (!) a sample sequence of instances talking to each other. Classes do not talk, they are just blueprints for the instances.