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Conservation Law Based Cross-Layer Optimization of a Wireless Network for Diverse Rate/Delay Requirements



Vladimir V. Marbukh


Conventional approach to cross-layer network optimization assumes elastic users adjusting their bandwidth requirements in response to the resource congestion prices. This assumption leads to the Network Utility Maximization (NUM) framework. However, often users can more naturally quantify their preferences in terms of the rate and high-level Quality of Service (QoS) requirements rather than network-level end-to-end bandwidth requirements. This paper suggests that replacing capacity constraints with QoS conservation laws may lead to cross-layer network optimization, where elastic users adjust their diverse QoS requirements directly in response to the QoS prices. For a case of users with preferences for the end-to-end transmission rates and average delays the paper formulates cross-layer optimization problem subject to the M/G/1 conservation laws. In a case when user utility decreases linearly with end-to-end delay it is possible to explicitly identify the optimal packet scheduling.
NIST Interagency/Internal Report (NISTIR) - 7843
Report Number


cross-layer network optimization, quality of service, conservation laws.


Marbukh, V. (2011), Conservation Law Based Cross-Layer Optimization of a Wireless Network for Diverse Rate/Delay Requirements, NIST Interagency/Internal Report (NISTIR), National Institute of Standards and Technology, Gaithersburg, MD, [online], (Accessed June 21, 2024)


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Created July 11, 2011, Updated May 15, 2020