Multi-variate computer resource allocation

A computer-implemented multi-variate workload management method comprising:

• tracking response time and transaction rates as a function of time for respective workloads over a duration in which hardware resource allocations to said workloads have changed to obtain allocation histories to determine impacts of transaction rates on the responsiveness of response time to changes in resource allocations;
• determining hardware requirements for respective workloads based at least in part on said impacts of transaction rates and on management policies, said management policies specifying criteria for allocating said resources among said workloads, said criteria include required response times for respective workloads and arbitration criteria for arbitrating among competing hardware resource requirements for said workloads when not all of the hardware resource requirements can be met;
• determining an allocation of hardware resources to said workloads based on said hardware requirements and said management policies;
• and
• implementing said allocation on said computer system.