Stochastic resetting in bounded search processes that feed queues creates a threshold rate beyond which it expands rather than shrinks steady-state convergence regions, with the threshold growing exponentially in the number of servers.
( 22) and solving for L, ob- taining Leq = √ D r 2r + 2rcµτcap +cµ log ( r+cµ − rcµτ cap cµ ) 2 2cµ log ( r+cµ − rcµτ cap cµ )
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Resetting-induced instability in queues fed by a search process in an interval
Stochastic resetting in bounded search processes that feed queues creates a threshold rate beyond which it expands rather than shrinks steady-state convergence regions, with the threshold growing exponentially in the number of servers.