✦ LIBER ✦

Optimal control of non-linear advertising models with replenishable budget

✍ Scribed by Richard Hartl

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 584 KB
Volume: 3
Category: Article
ISSN: 0143-2087
DOI: 10.1002/oca.4660030105

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

This paper deals with an optimal advertising model with two state variables. The revenue and efficiency functions are concave. The aim is to choose the rate of advertising expenditures over time in a way that maximizes the present value of net profit streams over an infinite horizon subject to a replenishable budget. It is shown that the optimal advertising expenditures start at a high level and decrease over time if the initial stock of goodwill is low. Low initial budget as well as low initial stock of goodwill can cause shortness of budget. It turns out that, in contrast to comparable linear models, the remaining budget is always positive.

📜 SIMILAR VOLUMES

On Controlled Linear Diffusions with Del

On Controlled Linear Diffusions with Delay in a Model of Optimal Advertising under Uncertainty with

✍ F. Gozzi; C. Marinelli; S. Savin 📂 Article 📅 2009 🏛 Springer 🌐 English ⚖ 592 KB

Optimal control of linear econometric mo

Optimal control of linear econometric models with intermittent controls

✍ Christophe Deissenberg 📂 Article 📅 1980 🏛 Springer US 🌐 English ⚖ 421 KB

Existence of optimal control for non-lin

Existence of optimal control for non-linear systems with an implicit derivative

✍ J. P. Dauer; K. Balachandran 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 335 KB

## Abstract The existence of an optimal control for non‐linear systems having an implicit derivative with quadratic performance is proved. The results are established through the notions of condensing map and measure of non‐compactness of a set and using a fixed point theorem due to Sadovskii.

Optimal pricing and replenishment polici

Optimal pricing and replenishment policies of an EOQ model for non-instantaneous deteriorating items with shortages

✍ M. Valliathal; R. Uthayakumar 📂 Article 📅 2010 🏛 Springer 🌐 English ⚖ 229 KB

Calibration of a class of non-linear vis

Calibration of a class of non-linear viscoelasticity models with adaptive error control

✍ Håkan Johansson; Kenneth Runesson; Fredrik Larsson 📂 Article 📅 2007 🏛 Springer 🌐 English ⚖ 707 KB

STOCHASTIC OPTIMAL ACTIVE CONTROL OF A 2

STOCHASTIC OPTIMAL ACTIVE CONTROL OF A 2-DOF QUARTER CAR MODEL WITH NON-LINEAR PASSIVE SUSPENSION ELEMENTS

✍ S. Narayanan; S. Senthil 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 200 KB

Active control of the time varying response to a stationary random excitation of a two-degree-of-freedom vehicle model with non-linear passive suspension elements is considered in this paper. The method of equivalent linearization is used to derive the equivalent linear model and the optimal control