This new process is not a specific module but is rather a process that relies on a number of tools ready available in S-360. From a business point of view, people applying do not win tickets but instead "win the right to a purchasing window".
Registration
In order to register interests from customer, create one or more contact criteria and make them mandatory on one of your ticketshop, which will act as the registration portal. For example, you could have one criteria to let customer choose what products they are interested in. Existing customer will have to complete their profile and new contacts will register including the new criteria.
Lottery draw
In SAM, first build one or more target based on the criteria values. You can then create a random sub-target of "winners" using the options of the "duplicate" action in the target.
Purchasing window
Using contact advantages, link the "winners" to the advantage and invite them to come and purchase.
This step can be repeated with a 2nd, 3rd, etc. set of contacts to generate a sequence of purchasing windows.