1. A method for mapping contact center agents to incoming transactions, the method comprising: storing, by a processor, data for incoming transactions in a first data structure; issuing, by the processor, a preset number of invitations for a first period having a predetermined duration of time to contact center agents identified to be available for being queued, along with a plurality of other agents, to interact with an incoming transaction from among the incoming transactions; identifying, by the processor, one or more of the contact center agents accepting the invitation for being queued; storing, by the processor, identification data of the one or more agents identified as accepting the invitation for being queued, in a second data structure; mapping, by the processor, one of the transactions associated with the data in the first data structure to one of the one or more agents identified via the identification data in the second data structure; transmitting, by the processor, a signal to a switch for routing the one of the transactions to an electronic device associated with the mapped agent; removing, by the processor, the identification data of the mapped agent from the second data structure; monitoring, by the processor, changes in both the first and the second data structures during the first period having the predetermined duration of time; calculating, by the processor, a probability value for any given one of the contact center agents to accept a future invitation during a second period having the predetermined duration of time; adjusting, by the processor, the preset number of invitations for driving a system performance metric toward a desired target value based in part on the probability value for the any given one of the contact center agents to accept the future invitation during the second period and based in part on the changes in both the first and the second data structures during the first period; and after adjusting the preset number of invitations, issuing, by the processor, the preset number of invitations for the second period having the predetermined duration of time.