Deterministic models
Eight chapters where every datum is known: you decide under certainty, and the value lies in interrogating the solution (how much is one more unit of a resource worth? where does the plan break?).
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Production and inventory
Multi-period LP with inventory: the solver discovers pre-building, the duals say how much an hour of capacity is worth. QP variant with smoothing.
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Supply chain and CO₂
Minimum-cost flow, convex congestion and the cost-emissions frontier with an internal carbon price.
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Markowitz portfolio
The most famous QP in history: efficient frontier, diversification and the fragility of the estimates.
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Pricing and revenue management
Endogenous demand, bilinear objective, corner optima and the true value of one more seat.
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Advertising budget
Diminishing returns, the KKT condition «equal marginal return on every active channel», value-versus-budget curve.
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Continuous location
Centroid, Weber point and minimax on the map: efficiency versus equity, with a geographic constraint.
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Electric vehicle charging
Minimum cost versus peak shaving, hourly energy prices and the duals of the energy requirements.
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Queues and service capacity
The utilisation wall: optimal capacity, the price of a service promise, robustness to uncertain demand.