Optimal Pricing with a Single Point

Optimal Pricing and Replenishment in a Single-Product Inventory System

We study an inventory system that supplies price-sensitive demand modeled by Brownian motion, focusing on the optimal pricing and inventory replenishment decisions, under both long-run average and discounted objectives. Analytical solutions are obtained in all cases, and related to or contrasted against previously known results. In addition, we bring out the interplay between the pricing and th...

Dynamic Pricing with Point Redemption

Optimal Pricing and Replenishment in a Single-Product Inventory System with Brownian Demand

We study an inventory system that supplies price-sensitive demand modeled by Brownian motion. The optimal pricing and inventory replenishment decisions under both long-run average and discounted objectives are derived, and related to or contrasted with previously known results. In addition, we emphasize the interplay between pricing and replenishment decisions, and the ways in which they react ...

Optimal ordering, discounting, and pricing in the single-period problem

The single-period problem (SPP), also known as the newsboy or newsvendor problem, is to "nd the order quantity which maximizes the expected pro"t in a single-period probabilistic demand framework. Previous extensions to the SPP include, in separate models, the simultaneous determination of the optimal price and quantity when demand is price-dependent, and the determination of the optimal order ...

Optimal Scanning of All Single-Point Mutants of a Protein

In protein engineering, useful information may be gained from systematically generating and screening all single-point mutants of a given protein. We model and analyze an iterative two-stage procedure to generate all these mutants. At each position, L variants are generated in the first stage via saturation mutagenesis and are sequenced. In the second stage, the missing variants (out of the 19 ...