Recent fluid analysis techniques allow fast and efficient calculation of complex reward metrics and passage time probabilities in systems with very large state space. We demonstrate how to incorporate these to look at the trade-off between service level agreement (SLA) satisfaction and complex reward optimisation. We show how the fluid analysis naturally leads to a constrained global optimisation problem with embedded differential equations. We illustrate this problem on an abstract model of a virtualised execution environment that accurately captures resource allocations.
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