Hierarchical design of an integrated production and 2-echelon distribution system

Strategic level three-stage production distribution planning with capacity expansion

“…Hence, it becomes a necessity to develop alternative solution techniques which are able to provide near optimal solutions for all organizational divisions in the integrated model (Barbarosoglu & Ö zgü r, 1999). Among many methods used for solving this kind of intractable problems decomposition and heuristics are shown to perform well.…”

“…The tactical version of the problem is solved with a heuristic called sliding time window. Barbarosoglu and Ö zgü r (1999) propose a Lagrangean relaxation based solution procedure. They attempt to decouple the system with relaxation and use subgradient optimization to facilitate the information flow between sub-problems.…”

A Fuzzy Goal Programming Approach for Collaborative Supply Chain Master Planning

“…Originally developed for solving large-scale linear programming, mathematical decomposition methods seem to be an attractive alternative for solving distributed decision-making problems. Barbarosoglu & Özgür (1999) developed a model which is solved by Lagrangian and heuristic relaxation techniques to become a decentralized two-stage model: one for production planning and another for transport planning. It generates a final plan level by level, where one stage determines both its own plan and supply requirements and passes the requirements to the next stage.…”

Decentralised production-distribution planning system using collaborative agents in supply chain network

“…Also, other research has tried to develop new optimisation techniques for the large-scaled planning problem. Usually, hierarchical decomposition-based heuristic [4] and Lagrangian decomposition-based heuristic [5] are used to solve those complicated problems effectively and get a near-optimal plan. Including the above topics, there is a comprehensive review paper on this research stream [6,7].…”