Operations Research / Optimization
Operations research from its exact optimum outward — starting with linear programming as geometry, where a two-variable LP's optimum sits at a rational vertex of the feasible polytope, proven by the constraints themselves rather than read off a solver's float, with every value pinned and every diagram validated.
Books
- Linear Programming is Geometry
- Simplex, Pivot by Pivot
- Duality as a Certificate
- Integer Programming & Branch-and-Bound
- Knapsack and the DP Table
- Max-Flow, Min-Cut
- Assignment & the Hungarian Method
- Constraint Propagation (CP-SAT)
- Queueing I: Birth-Death Chains
- Queueing II: Networks
- Scheduling & the Critical Path
- Forecasting Mechanics, Honestly
- Greedy, with a Certificate: Spanning Trees & Shortest Paths
- Zero-Sum Games: Minimax is Duality
- Inventory: The EOQ and Lot-Sizing, Honestly
- Transportation & Min-Cost Flow
- Sensitivity and Shadow Prices
- Decision Trees: Expected Value, Step by Step
- Break-Even Analysis, Step by Step
- Bottlenecks and Capacity, Step by Step
- Set Covering: Choose the Cheapest Sites
- Facility Location: Weighted Center, Step by Step
- PERT: Expected Project Time, Step by Step
- Newsvendor: One-Period Inventory, Step by Step
- Sequencing Jobs: Shortest Processing Time, Step by Step
- Bin Packing: First-Fit Decreasing, Step by Step
- Project Crashing: Cost-Time Tradeoff, Step by Step
- Reorder Points: Inventory Position, Step by Step
- ABC Inventory Analysis, Step by Step
- Periodic Review: Order-Up-To Level, Step by Step
- Kanban Card Count, Step by Step
- Overall Equipment Effectiveness, Step by Step
- Takt Time and Line Balancing, Step by Step
- Value Stream Maps: Lead Time, Step by Step
- Setup Time and Changeovers, Step by Step
- First-Pass Yield and Rework, Step by Step
- Pareto Defect Charts, Step by Step
- Control Charts: Centerline and Limits, Step by Step
- Cost of Quality: Prevention, Appraisal, Failure, Step by Step
- Fill Rate and Stockouts, Step by Step
- Inventory Turns and Days of Supply, Step by Step
- Labor Productivity and Standard Hours, Step by Step
- Forecast Error Metrics, Step by Step
- Weighted Scorecards for Supplier Choice, Step by Step
- Tracking Signal and Forecast Bias, Step by Step
- Make-or-Buy Cost Comparison, Step by Step
- Capacity Cushion and Utilization, Step by Step
- DPMO and Defect Opportunities, Step by Step
- Overall Equipment Effectiveness (OEE), Step by Step
- Takt Time and Staffing, Step by Step
- Kanban Cards and Container Size, Step by Step
- Reorder Point and Safety Stock, Step by Step
- Bottleneck Step and Line Capacity, Step by Step
- Line Balancing Efficiency and Idle Time, Step by Step
- Product Mix Capacity Load, Step by Step
- Little's Law WIP and Flow Time, Step by Step
- Process Capability Cp and Cpk, Step by Step
- Yield-Adjusted Start Quantity and Scrap Allowance, Step by Step
- MRP BOM Explosion, Step by Step
- MRP Lead-Time Offset, Step by Step
- Aggregate Production Inventory Balance, Step by Step
- Rough-Cut Capacity Planning, Step by Step
- Multifactor Productivity, Step by Step
- Learning Curve Unit Time, Step by Step
- Rolled Throughput Yield, Step by Step
- Maintenance Availability from MTBF and MTTR, Step by Step