How does the Theory of Constraints $($TOC$)$ apply to Operations Management? Explore how TOC principles, such as identifying and managing bottlenecks, throughput, and inventory, optimize operational efficiency. Discuss the role of TOC in streamlining processes, reducing waste, and enhancing productivity within various industries. Additionally, analyze the integration of TOC with other operational management approaches like Lean and Six Sigma, highlighting synergies and potential conflicts. Consider real$-$world case studies or examples to illustrate the application of TOC concepts in improving organizational performance, meeting customer demands, and achieving strategic objectives.