"How do the foundational theories in operations management, such as Lean Manufacturing, Total Quality Management $($TQM$),$ and the Theory of Constraints $($TOC$),$ intersect and complement each other in enhancing organizational efficiency and competitiveness across various industries? Provide a comprehensive analysis of how these theories influence decision$-$making processes, resource allocation, supply chain management, and continuous improvement initiatives within contemporary business contexts. Additionally, discuss the challenges and opportunities associated with implementing these theories in dynamic and globalized business environments, considering factors like technological advancements, market demands, and sustainability objectives."