A singleton holds a private static instance of itself.
Not always, in fact, that's not even the best way to do it in Java.
public enum Director {
INSTANCE;
public int getFive() {
return 5;
}
}
Is a perfectly valid singleton, and is far more likely to remain the only copy in existence than a class that holds a private static instance of itself.
1. Should it's members also be static
No, the members should not be static, because then there is no need for a class, and therefore no need for that class to be a singleton. All static routines are subject to code maintenance issues, similar to C / C++ functions. Even though with singletons you won't have multiple instances to deal with, having the method off of an instance provides you with certain abilities to morph the code in the future.
2. If the answer to 1. is unequivocally yes.
It's not, so no need to answer #2.
3. Is the private instance needed because the JVM needs a
referable object (THE singleton) to hold on to for the
length of its (JVM's) life?
No, the private instance is needed because you have to have some ability to determine if the constructor was called previous to the access. This is typically done by checking to see if the instance variable is null. With race conditions and class loader considerations, it is incredibly difficult to make such code correct. Using the enum technique, you can ensure that there is only on instance, as the JVM internals are not subject to the same kinds of race conditions, and even if they were, only one instance is guaranteed to be presented to the program environment.
There is a requirement to make multiple concurrent remote calls within
a tomcat hosted web application (the app utilizes GWT for some components,
so I can utilize a servlet for this aforementioned requirement if a good
solution requires this). Currently, I create an executor service with a cached
thread pool into which I pass my callables (each callable containing an endpoint
configuration), for each individual process flow that requires such calls. To
me it would make sense if the thread pool was shared by multiple flows, instead
of spawning pools of their own. Would a singleton holding a static thread pool be
a good solution for this?
It depends. What are the threads in the pool going to be doing? If it's a thread to handle the task, eventually they will all get tied up with the long running tasks, possibly starving other critical processing. If you have a very large number of tasks to perform, perhaps restructuring the processing similar to the call-back patterns used in NIO might actually give you better performance (where one thread handles dispatching of call-backs for many tasks, without a pool).
Until you present a second way of handling the problem, or make more details of the operating environment available, the only solution presented is typically a good solution.
PS. Please don't expand on the details of the environment. The question submission process is easy, so if you want to expand on the second part, resubmit it as an independent question.