Operations Research

  1. Inventory Theory
    1. Inventory System Components
      1. Types of Inventory
        1. Raw Materials
          1. Work-in-Process
            1. Finished Goods
            2. Demand Characteristics
              1. Deterministic vs. Stochastic
                1. Stationary vs. Non-stationary
                  1. Independent vs. Dependent
                  2. Cost Structure
                    1. Holding Costs
                      1. Ordering Costs
                        1. Shortage Costs
                          1. Purchase Costs
                          2. Lead Time Considerations
                            1. Review Policies
                            2. Deterministic Inventory Models
                              1. Economic Order Quantity Model
                                1. Basic EOQ Assumptions
                                  1. EOQ Formula Derivation
                                    1. Total Cost Analysis
                                      1. Sensitivity Analysis
                                      2. EOQ Extensions
                                        1. Quantity Discounts
                                          1. Backordering Allowed
                                            1. Planned Shortages
                                            2. Economic Production Quantity Model
                                              1. Production Rate Considerations
                                                1. EPQ Formula
                                                  1. Optimal Production Lot Size
                                                  2. Multi-Item Inventory Models
                                                    1. Joint Ordering
                                                      1. Resource Constraints
                                                    2. Stochastic Inventory Models
                                                      1. Single-Period Models
                                                        1. Newsvendor Problem
                                                          1. Critical Ratio
                                                            1. Service Level Analysis
                                                              1. Expected Profit Maximization
                                                              2. Multi-Period Models
                                                                1. Continuous Review Systems
                                                                  1. Order Point Systems
                                                                    1. Safety Stock Determination
                                                                      1. Service Level Constraints
                                                                      2. Periodic Review Systems
                                                                        1. Order-Up-To Level
                                                                          1. Base Stock Policies
                                                                        2. Lead Time Demand
                                                                          1. Distribution of Lead Time Demand
                                                                            1. Safety Stock Calculations
                                                                              1. Reorder Point Determination

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                                                                          12. Simulation