Worst-case performance of a buffer with independent shaped arrival processes

In both asynchronous transfer mode (ATM) standards (available:http://www.atmforum.com) and evolving Internet guidelines (available:http://www.ietf.org), deterministic shaping has two principle objectives: 1) to facilitate the allocation of a suitable amount of resources (buffer memory, bandwidth) to a connection to achieve its required quality of service and 2) to easily police traffic and assure 'fair' access to a shared resource. We take an ATM context and use fluid modeling, which is appropriate because ATM uses small fixed-length (53-byte) packets called cells. A buffer in a network access mode with independent and identically distributed shaped arrival processes is considered. A worst-case performance bound is derived that relies only on the traffic shaping parameters.