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math.PR2020
Load Balancing Under Strict Compatibility Constraints
Daan Rutten, Debankur Mukherjee
We study large-scale systems operating under the JSQ policy in the presence of stringent task-server compatibility constraints. Consider a system with identical single-ser…
math.PR2020
On -to- norms of random matrices with nonnegative entries: Asymptotic normality and -bounds for the maximizer
Souvik Dhara, Debankur Mukherjee, Kavita Ramanan
For an matrix , the operator norm is defined as $$\|A_n\|_{r\to p}:= \sup_{\mathbf{x}\in\mathbb{R}^n:\|\mathbf{x} \|_r\leq 1 } \|A_n\mathbf{x} \|_p\quad\t…