This National Science Foundation Project Grant award of $231,879 provides funding from July 15, 2022 through June 30, 2025 to support research into the dynamics of stochastic networks. Under the Mathematical and Physical Sciences program (CFDA 47.049), the University of California, San Diego will analyze and develop methods for approximating, controlling, and interpreting complex stochastic network models.
Key areas of focus include justifying and analyzing approximations like fluid and diffusion models of biochemical reaction networks and nearly density-dependent Markov chains. The award will also support research into analyzing processor sharing networks, congestion control in data networks, networks with random service order and customer reneging, and dynamic control of stochastic processing networks. Outcomes will advance understanding of stochastic process aspects like error quantification and numerical methods for reflected diffusion processes. The funding furthers NSF's mission to strengthen the nation's scientific enterprise through increasing mathematical and physical sciences knowledge.
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