Abstract:

Developing new production operations management models that align with the evolution of new productive forces is becoming a prevailing trend. Facing multiple challenges such as system complexity， sustainability， and technological updates， mathematical programming algorithms play an especially important role in production and operations management optimization. It focuses on the latest research trends in the field of mathematical programming algorithms in production and operations management optimization in the past five years in this study， summarizing and analyzing relevant literature from five aspects： job scheduling and production planning optimization， production system and capacity planning optimization， production facility layout and location optimization， inventory management optimization in production systems， and supply chain optimization for production systems. Future research directions are proposed， including data-driven production and operations management research， production optimization research enabled by digital intelligence technology， end-to-end optimization algorithm research for production operations， and new methods of production management based on Chinese practices. It aims to provide researchers and practitioners in the field with valuable references and insights in this study， thereby contributing to the advancement of production and operations management optimization.

Key words: production and operations management, decision optimization, mathematical programming model, optimization algorithm