I. Introduction
IN the restructured electric power environment, ISO must calculate available transfer capability (ATC) [1] for the both transmission types of non-recallable and recallable and post non-recallable available transfer capability (NATC) and recallable available transfer capability (RATC) on the Open Access Same-Time Information System (OASIS) [2]. By definition, a transmission service is called recallable, or non-firm, “when the transmission provider has the right to interrupt all or part of the service for any reasons, including economics, which are consistent with the transmission provider's transmission service tariffs or contract provisions” [1]. For non-recallable transmission services, referred to also as firm, the service is to be curtailed only in cases when the system reliability is threatened or emergency conditions exist.