Elsevier

Automatica

Volume 42, Issue 8, August 2006, Pages 1371-1380
Automatica

Dynamic brand-image-based production location decisions

https://doi.org/10.1016/j.automatica.2006.01.020Get rights and content

Abstract

In this paper, we study the dynamic production location decisions of a manufacturer of a certain branded product. Considering brand-image as a form of goodwill, we extend the well-known Nerlove–Arrow dynamic model by adding both country-image and price. Formulating an optimal control problem for a group of countries in which the cost of production is convexly increasing with country-image, we are able to develop optimal decision rules for a manufacturer regarding the location of production and pricing over time. The resulted optimal policy has a very interesting pattern. Assuming that the demand rises by more than the value of the new brand-image in percentage terms, then, if brand-image is increasing toward a stationary value level, the optimal policy should be to initially locate production in countries with high image and set a high price that signals high quality. Later, the production should gradually shift to countries with lower production costs and lower image and the price lowered until the stationary value level is reached. For brand-images beyond the stationary value level, the location of production should start in a country with low costs and country-image while setting prices that signal relatively low quality. Over time, production should be shifted to countries with gradually higher costs and images while setting higher prices until the brand-image approaches the level of stationary value.

Introduction

Brand-image is defined as perceptions about a brand as reflected by the brand associations (attributes, benefits and overall brand attitudes) held in consumer memory (Keller, 1993). Country-image is the total of all descriptive, inferential and informational beliefs that a consumer has about a particular country (Martin & Eroglu, 1993). Both current and past images of sourcing countries play a role in determining brand and product perceptions. For example, the perceived image of a product made in a country having a strong image (USA) and brand-image (GE) may deteriorate by sourcing production in countries with weak images such as the emerging economies in Eastern Europe (cf. Brodowsky et al., 2004, Nebenzahl and Jaffe, 1996). Selecting a country of manufacture has become a critical decision variable for managers of global companies. They may decide to design a product in one country and manufacture it in another. Their decision may be based on cost considerations or proximity to end user markets, but country-image has also now become a major managerial decision variable (Brodowsky et al., 2004). The influence of current and future country-images on production sourcing decisions is the focus of this work. The sourcing country may improve or erode brand-image and consequently sales. Reducing costs of production by means of sourcing may improve profits. If the low cost is associated with a weak-image of the sourcing country, the erosion of brand-image may have a greater effect and thus reduce profits. However this is not always the case. For example, strong Japanese brands such as Sony, which have developed a substantial brand reputation, have been able to overcome such stereotyping, at least sufficiently enough to compete with Korean or Taiwanese firms, despite having a “made in” label of a Southeast Asian country such as Malaysia (Choi, 1992).

Previously, the location of production has been generally viewed as a function of transaction costs, country-specific attributes such as cost of raw materials and wage rates, negotiating and monitoring costs, environmental considerations such as political risk and competition, and strategic variables such as first mover advantages. Thus, in most, if not all production location studies, the focus have been exclusively on the supply side, ignoring the effect location has on the demand side, that is, on brand-image and its implications (Li, Murray, & Scott, 2000). In this paper, we examine location of production as a function of costs, of country and brand-images, as well as the short and long-run effects of price. We consider a monopolist manufacturer that needs to decide where to locate the production of a certain branded product. We posit that the perceived quality of a given product is based on its brand-image, country-image and price, all of which determine the demand for the particular product (cf. Darling and Arnold, 1988, Hastak and Hong, 1991, Teas and Agarwal, 2000; Thorelli, Lim, & Ye, 1989). Considering brand-image as a form of goodwill, we extend the well-known Nerlove–Arrow dynamic model by adding both country-image and price effects. Formulating an optimal control problem for a group of countries in which the cost of production is convexly increasing with country-image, we are able to develop optimal decision rules for a manufacturer regarding the location of production and pricing over time. The resulted optimal policy has a very interesting pattern. Assuming that the demand rises by more than the value of the new brand-image in percentage terms, then, if brand-image is increasing toward a stationary value level, the optimal policy should be to initially locate production in countries with high image and set a high price that signals high quality. Later, the production should gradually shift to countries with lower production costs and lower image and the price lowered until the stationary value level is reached. For brand-images beyond the stationary value level, the location of production should start in a country with low costs and country-image while setting prices that signal relatively low quality. Over time, production should be shifted to countries with gradually higher costs and images while setting higher prices until the brand-image approaches the level of stationary value.

The rest of this paper is organized as follows. In Section 2, we present our model. In Section 3, an optimal production policy is determined based on the current brand-image and on model's parameters. In Section 4, conclusions and managerial implications of the model are discussed. In Section 5, we present our conclusions and future research directions.

Section snippets

Model formulation and notation

We consider a monopolist manufacturer that needs to decide in which country to produce a certain branded product. Each potential country has a certain image and cost of production. The image of the country can improve or impair the manufacturer's brand-image; the better the country-image, the higher the brand-image and vice versa (Papadopoulos, Heslop, & Avlontis, 1987). Since consumers tend to associate high prices with high quality, the price assigned to the product has similar long-run

Optimal policy

We use Pontryagin's maximum principle (Pontryagin, Boltyanskii, Gamkrelidze, & Mishchenko, 1962) to find the optimal solution. We form the current-value Hamiltonian (Arrow & Kurtz, 1971)H=(p-c(u))S(p,x)+λ[k1(p-p¯)+k2u-δx].The current-value adjoint variable λ satisfying the differential equationλ˙=rλ-Hx=(r+δ)λ-[p-c(u)]Sxand the condition thatlimte-rtλ(t)=0.

The adjoint variable λ(t) is the shadow price associated with the brand-image at time t. The differential equation (3.2) tells us what

Conclusions and managerial implications

Consumer perception of a country's image and product price are among the key variables that determine brand-image. A more positive country of manufacture image generally results in a more positive brand-image. This leads to more sales and thus more revenues. However, more positive image countries generally have higher production costs, thus profits may be lower, unless the higher country-image can allow for a higher finished product price and brand-image. Thus, the dilemma for a sourcing

Research limitations and suggestions and future directions

This paper is a first attempt to develop an analytical model that incorporates country-image effects on production location decisions. As such, it is subject to limitations. The analysis presented here was done within the framework of a single manufacturer. Since brand-image is a relative concept rather than an absolute one, a production location model should also include the effect of competing brand-images (see Jaffe & Nebenzahl, 2001). Competing brand-images also affect consumer perception

Acknowledgments

The authors thank the editor Suresh Sethi and the two anonymous reviewers for their helpful and constructive comments. Also, the first author thanks Yoram Halevi for his helpful discussion.

Gila E. Fruchter is a Associate Professor of Marketing at the graduate School of Business Administration, at Bar-Ilan University, Israel. She earned all her degrees in Mathematics from the Technion, Israel Institute of Technology. She held visiting positions in Marketing at Washington University in St. Louis, MIT Sloan School of Management, University of California, Berkeley and Hong Kong University of Science and Technology. Her current research focuses on dynamic competitive marketing

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    Gila E. Fruchter is a Associate Professor of Marketing at the graduate School of Business Administration, at Bar-Ilan University, Israel. She earned all her degrees in Mathematics from the Technion, Israel Institute of Technology. She held visiting positions in Marketing at Washington University in St. Louis, MIT Sloan School of Management, University of California, Berkeley and Hong Kong University of Science and Technology. Her current research focuses on dynamic competitive marketing strategy, service marketing and relationship marketing. Her recent papers have appeared in Management Science, Marketing Science, Journal of Service Research, Journal of Optimization Theory and Application, Journal of Economic, Dynamics and Control, European Journal of Operational Research, Optimal Control Applications and Methods, International Game Theory Review, Automatica, IEEE Transactions on Circuits Systems, Journal of Mathematical Analysis and Applications. She is a member of the editorial boards of Marketing Science, Journal of Service Research and Review of Marketing Science. She also serves as a referee and area guest editor for leading marketing academic journals among them Marketing Science and Management Science.

    Eugene D. Jaffe is visiting Professor of Marketing at the Copenhagen Business School, Denmark. His research and teaching interests are in International Marketing/Business and Business Ethics. He has published in the Journal of Marketing Research, European Journal of Marketing, Management International Review, and International Marketing Review among others.

    Israel D. Nebenzahl is a tenured faculty member of The Graduate School of Business Administration at Bar-Ilan University, Israel, Professor Nebenzahl held a visiting position at the American University, Washington, DC while this study was conducted. He has published in leading marketing and international business journals. Is co-author of National Image and Competitive advantage: The Theory and Practice of Country-of-Origin Effect, Copenhagen Business School Press, 2001, a book that was translated into Korean in 2005.

    This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Editor Suresh Sethi.

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