What is Optimal Control Theory? -- The Maximum Principle: Continuous Time -- The Maximum Principle: Mixed Inequality Constraints -- The Maximum Principle: General Inequality Constraints -- Applications to Finance -- Applications to Production and Inventory -- Applications to Marketing -- The...

1. What is Optimal Control Theory? -- 2. The Maximum Principle: Continuous Time -- 3. The Maximum Principle: Mixed Inequality Constraints -- 4. The Maximum Principle: Pure State and Mixed Inequality Constraints -- 5. Applications to Finance -- 6. Applications to Production and Inventory -- 7....

We analyze a price-setting news-vendor problem with an additive – multiplicative demand. We show that the uni-modality of the news-vendor profit function holds when the underlying random term has an increasing failure rate and the demand functions satisfy certain concavity conditions....

We derive a sharp upper bound on the minimal forecast horizon in the discounted dynamic lot size model with constant initial demand. This bound is given by m(m 1), where m is the EOQ's worth, i.e., the number of periods for which the total demand equals Economic Order Quantity. Our results do...