  This paper presents a novel approach to address the Production Routing
Problem with Privacy Preserving (PRPPP) in supply chain optimization. The
integrated optimization of production, inventory, distribution, and routing
decisions in real-world industry applications poses several challenges,
including increased complexity, discrepancies between planning and execution,
and constraints on information sharing. To mitigate these challenges, this
paper proposes the use of intelligent agent negotiation within a hybrid
Multi-Agent System (MAS) integrated with optimization algorithms. The MAS
facilitates communication and coordination among entities, encapsulates private
information, and enables negotiation. This, along with optimization algorithms,
makes it a compelling framework for establishing optimal solutions. The
approach is supported by real-world applications and synergies between MAS and
optimization methods, demonstrating its effectiveness in addressing complex
supply chain optimization problems.
