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We consider the tradeoff between resource efficiency and performanceisolation that emerges when multiplexing the resource demands of Network Slices(NSs). On the one hand, multiplexing allows the use of idle resources, whichincreases resource efficiency. On the other hand, the performance of each NSbecomes susceptible to traffic surges in other NSs, which degrades performanceisolation. The analysis of this tradeoff enables network operators to determinethe effect of performance isolation on the operating cost of each NS.  To study the tradeoff, we solve an optimization problem where we find themultiplexing policy that requires the least provisioned resources to honor theService Level Agreements (SLAs) of all NSs. The SLA of each NS i states thatits resource demand should be met for $P^H_i$ fraction of time, and for $P^L_i\leq P^H_i$ fraction of time, it should be met regardless of the demands ofother NSs.  For resource demands that follow ergodic Markov chains, we show that thewell-known Max-Weight scheduler is an optimal multiplexing policy. Since theMax-Weight scheduler does not require any knowledge of the statistics of theresource demands, we also propose its use in non-markovian settings. Forresource demands obtained in the LTE module of ns-3, we show that theMax-Weight scheduler reduces the provisioned bandwidth by 36.2% when noperformance isolation is required. Lastly, for these non-markovian resourcedemands, the Max-Weight scheduler maintains its optimality since it requires asmuch provisioned bandwidth as the best non-causal scheduler.

Resource Efficiency vs Performance Isolation Tradeoff in Network Slicing