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Could anyone suggest a source about incorporation of "caching" into job-shop-like scheduling problem formulation?

In other words, i would like to explore a way to approach a problem of statically scheduling (heterogenous) computations and data transfers between multuple tiers of caches (disk, ram, vram) in OR fashion (e.g. formulating MILP).

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You may or may not be aware of COIN-OR (https://www.coin-or.org/) which contains multiple projects exploring and implementing OR algorithms with some forms of caching and parallelism.

What isn’t clear is how completely any of the COIN-OR projects address your rather interesting question; I’m commenting partly to share if the resource is helpful and partly as a reminder to come back to see what other smart folks here may contribute :-)

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