I had an interview recently and he asked me about Singleton Design Patterns about how are they implemented and I told him that using static variables and static methods we can i
There's the standard way, which you already covered. Also, most dependency-injection schemes have some way to mark a class as a singleton; this way, the class looks just like any other, but the framework makes sure that when you inject instances of that class, it's always the same instance.
That's where it gets hairy. For example, if the class is initialized inside a Tomcat application context, then the singleton instance's lifetime is bound to that context. But it can be hard to predict where your classes will be initialized; so it's best not to make any assumptions. If you want to absolutely make sure that there's exactly one instance per context, you should bind it as an attribute of the ServletContext. (Or let a dependency-injection framework take care of it.)
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Not sure I understand the question - but if you're talking about having a singleton instance that's shared between several cluster nodes, then I think EJB makes this possible (by way of remote beans), though I've never tried it. No idea how Spring does it.