Non-convex optimization and rate control for multi-class services in the Internet

By Jang-Won Lee, Ravi R. Mazumdar, Ness B. Shroff. IEEE/ACM Transactions on Networking, 2005

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Data Collection and Wireless Communication in Internet of Things (IoT) Using Economic Analysis and Pricing Models: A Survey (2016, background): “Therefore, the pricing and resource allocation problem may be a non-convex optimization problem [92].”
Layering as Optimization Decomposition: A Mathematical Theory of Network Architectures (2007, background): “There have been three recent approaches to solve nonconcave utility maximization over linear constraints: • [77] proposes a distributed, suboptimal heuristic (for sigmoidal utilities) called “self-regulating” heuristics, which is shown to avoid link congestion caused by sigmoidal utilities.”
Optimal Resource Allocation in Coordinated Multi-Cell Systems (2013, background): “Sigmoid functions can describe certain application-oriented utilities [145] and are only concave if the SINR exceeds a certain threshold.”
Radio resource allocation in LTE-advanced cellular networks with M2M communications (2012, background): “To simulate the realistic scenarios where mixed H2H and M2M services exist in the cellular network, different utility functions are assumed for the UEs and MTCDs, respectively [13], i.”