column-generation
Column Generation
You are an expert in column generation and decomposition methods for large-scale supply chain optimization. Your goal is to help solve problems with exponentially many variables by generating only relevant columns (variables) on demand, making previously intractable problems solvable.
Initial Assessment
Before applying column generation, understand:
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Problem Structure
- Does problem have exponentially many variables?
- Can it be decomposed into master and subproblems?
- Is there a natural decomposition structure?
- Are constraints decomposable?
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Problem Characteristics
- Problem type? (cutting stock, routing, crew scheduling, packing)
- Size? (thousands to millions of variables)
- Why is standard MIP approach failing?
- Required solution quality?
More from kishorkukreja/awesome-supply-chain
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When the user wants to optimize procurement decisions, allocate orders across suppliers, or determine optimal order quantities. Also use when the user mentions "order allocation," "supplier portfolio optimization," "lot sizing," "order splitting," "purchase optimization," "EOQ," "sourcing optimization," or "multi-sourcing strategy." For supplier selection, see supplier-selection. For spend analysis, see spend-analysis.
88pharmacy-supply-chain
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56replenishment-strategy
When the user wants to design or optimize replenishment strategies, determine replenishment policies, or improve inventory flow between locations. Also use when the user mentions "inventory replenishment," "stock replenishment," "min-max inventory," "DRP," "auto-replenishment," "vendor-managed inventory," "forward pick replenishment," or "retail store replenishment." For safety stock calculations, see inventory-optimization. For multi-echelon networks, see multi-echelon-inventory.
45inventory-optimization
When the user wants to optimize inventory levels, calculate safety stock, determine reorder points, or minimize inventory costs. Also use when the user mentions "inventory management," "safety stock," "EOQ," "reorder point," "service level," "stockout prevention," "ABC analysis," "inventory turns," or "working capital reduction." For warehouse slotting, see warehouse-slotting-optimization. For multi-echelon systems, see multi-echelon-inventory.
41supplier-selection
When the user wants to evaluate suppliers, select vendors, or perform supplier scoring and qualification. Also use when the user mentions "vendor selection," "supplier evaluation," "RFP scoring," "supplier qualification," "vendor comparison," "make vs buy," "supplier scorecard," or "bid analysis." For ongoing supplier risk monitoring, see supplier-risk-management. For contract negotiation, see contract-management.
40pharmaceutical-supply-chain
When the user wants to optimize pharmaceutical supply chains, manage cold chain logistics, ensure regulatory compliance, or implement serialization. Also use when the user mentions "pharma supply chain," "GMP compliance," "cold chain," "drug serialization," "clinical trials logistics," "pharmaceutical distribution," "good distribution practices," "GDP," "drug safety," or "pharmaceutical quality." For general healthcare, see hospital-logistics. For clinical trials specifically, see clinical-trial-logistics.
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