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This lecture by Professor Jane Hillston explores how mathematical models help us understand and optimize resource-constrained systems in our daily lives. Discover how traditional queueing theory formulas are evolving to address modern challenges in our highly connected world. Learn how modeling approaches originally developed for problems like airport security queues and call center capacity are now being applied to new domains including cellular biology, ecology, and blockchain technology. Professor Hillston, an award-winning informatics expert from the University of Edinburgh, demonstrates how understanding resource constraints leads to better algorithms that can improve performance in resource-intensive applications like generative AI. Recorded at The Royal Institution on March 15, 2025, this one-hour presentation offers valuable insights into how mathematical modeling continues to shape our understanding of complex systems and helps address the challenges of our resource-hungry modern society.
