Various embodiments of the present disclosure provide methods, apparatuses, systems, computing devices, computing entities, and/or the like for determining optimized solutions to input problems in a containerized, cloud-based (e.g., serverless) manner using multiple solver types. In one embodiment, an example method involves receiving a problem type of an input problem originating from a client computing entity, mapping the problem type to one or more selected solver types, generating one or more container instances of one or more compute containers with each compute container corresponding to a selected solver type, generating a problem output using the one or more container instances, and providing the problem output to the client computing entity, where the problem output includes an optimized solution to the input problem that can be used to perform one or more prediction-based actions.