This article examines how cloud-native architectures enable retailers to scale machine learning and operations research models across omni-channel environments. It explores the transformation from monolithic on-premise systems to flexible cloud platforms, highlighting how distributed computing frameworks address the computational demands of retail-scale ML model training and inference. The discussion covers architectural patterns for real-time data processing, distributed training techniques, auto-scaling inference architectures, and parallelization strategies for complex optimization problems. The integration of predictive ML insights with prescriptive OR optimization is presented as a critical capability, with various integration patterns examined including sequential, feedback loop, stochastic, and joint learning approaches. Data pipelines connecting predictive and prescriptive models are explored alongside event-driven architectures for cross-channel decision workflows and API design patterns for unified retail intelligence systems. Implementation challenges and technical debt considerations complete the analysis, focusing on both architectural principles and organizational factors that influence successful adoption of cloud-scaled retail analytics