Geometric lower bounds on queue occupancy in limited-connectivity processing networks show that asymptotic performance matching Power-of-d or JSQ requires flexibility metrics to diverge to infinity.
Queueing system with selection of the shortest of two queues: An asymptotic approach
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Geometric lower bounds for the steady-state occupancy of processing networks with limited connectivity
Geometric lower bounds on queue occupancy in limited-connectivity processing networks show that asymptotic performance matching Power-of-d or JSQ requires flexibility metrics to diverge to infinity.