3 problems
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Whitt's heavy-tail conjecture for multi-server waiting times
Consider a stable first-come-first-served queue with identical servers, i.i.d. interarrival times of finite mean , i.i.d. service times of finite mean , mutuall…
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Daley's conjecture on universal bounds for multi-server queues
Consider a stable queue with traffic intensity , and seek a universal upper bound on its relevant performance measure that scales as . Such a bound is t…
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Kingman's heavy-traffic weak-convergence conjecture for multi-server queues
Let queues be indexed by a sequence approaching heavy traffic, with the number of servers held fixed. For such a queue, let the traffic intensity be … where a…