what is difference between alloc and allocWithZone:?

When one object creates another, it’s sometimes a good idea to make sure they’re both allocated from the same region of memory. The zone method (declared in the NSObject protocol) can be used for this purpose; it returns the zone where the receiver is located.

This suggests to me that your ivars, and any objects your classes "create" themselves could make use of +allocWithZone: in this way, to make the instances they create in the same zone.

-(id)init {
  if (self = [super init]) {
    someIvar = [[SomeOtherClass allocWithZone:[self zone]] init];
  }

  return self;
}

From Apple's documentation:

This method exists for historical reasons; memory zones are no longer used by Objective-C.

A good example for using allocWithZone: is when you are implementing the NSCopy protocol, which allows you make your custom objects copyable (deep copy / copy by value) like:

(1) ClassName *newObject = [currentObject copy]; //results in newObject being a copy of currentObject not just a reference to it

The NSCopy protocol ensures you implement a method:

(2) -(id)copyWithZone:(NSZone *)zone;

When copying an object the 'copy' message you send as above (1) when stated as 'copyWithZone sends a message to the method(2). aka you don't have to do anything to get a zone yourself.

Now as you have a 'zone' sent to this message you can use it to ensure a copy is made from memory in the same region as the original.

This can be used like:

-(id)copyWithZone:(NSZone *)zone
{
   newCopy = [[[self class]allocWithZone:zone]init]; //gets the class of this object then allocates a new object close to this one and initialises it before returning
   return(newCopy);
}

This is the only place I am aware allocWithZone is actually used.

I use allocWithZone in singleton. As Forrest mentioned, the variables created allocated from the same region of memory. Thus other classes can use or access them from the same zone of memory. Save memory space when you run your app.