In the queueing literature,achievable performances yor average delay and probability of loss have been traditionally referred to as conservation laws.Such laws provide the theoretical background for scheduling problems and for the design of traffic control schemes in broadband communication networks.The conservation laws presented so far deal with single performance measures such as delay only or loss only,under a single arrival or service control.Our emphasis in this paper is on laws for combined arrival and service controls.We also present a dynamic queueing discipline that achieves the specified performance objectives for both delay and loss requirements.
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