Mathematical Models in Marketing A Collection of Abstracts
Mathematical models can be classified in a number of ways, e.g., static and dynamic; deterministic and stochastic; linear and nonlinear; individual and aggregate; descriptive, predictive, and normative; according to the mathematical technique applied or a
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Ursula H. Funke
Mathematical Models in Marketing A Collection of Abstracts
Lecture Notes in Economics and Mathematical Systems Managing Editors: M. Beckmann and H. P. Künzi Operations Research
132 Ursula H. Funke
Mathematical Models in Marketing A Collection of Abstracts With aPreface by M. Beckmann
Springer-Verlag Berlin Heidelberg GmbH 1976
Editorial Board H. Albach · A. V. Balakrishnan · M. Beckmann (Managing Editor) P. Dhrymes · J. Green · W. Hildenbrand · W. Krelle H. P. Kilnzi (Managing Editor) · K. Ritter · R. Sato · H. Schelbert P. Schtinfeld Managing Editors Praf. Dr. M. Beckmann Brown University Providence, Rl 02912/USA
Prof. Dr. H. P. Kilnzi Zilrich 8090 Zilrich/Schweiz Universităt
Author Prof. Dr. Ursula H. Funke Department of Economics Brown University Providence R.l. 02912/USA
Library of Coagress Ca\alogiag In P11blic:atlon Data
Funke, Urs ula, 1939-
Mathematical models in ma.rketing.
(Lecture notes in economica and mathematical systems : Operations resea.rch ; 13~) Bibliography: p. Includea indexes. 1. Marketing--Ma.thematical ODdels, I. Title, II. Serles: Lecture notes in economica a.nd ma.thematica.l. system.s ; 132.
HF5415.l25.F86
658.8'001'51
76-44509
AMS Subject Classifications (1970): 90A10, 90A15, 90899 ISBN 978-3-540-07869-2 ISBN 978-3-642-51565-1 (eBook) DOI 10.1007/978-3-642-51565-1 This work is subject to copyright. Ali rights are reserved, whether the whole or pari of the material is concerned, specifically those of translation, reprinting, re·use of illustrations, broadcasting, reproduction by photocopying machi ne or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher.
© by Springer-Verlag Berlin Heidelberg 1976 Originally published by Springer-Verlag Berlin Heidelberg New York in 1976
Among ~e most active fields in operations Rese~rcn in re cent years Marketing nas been outstanding. One index of operations Researcn activity in marketing is the number of books and articles on marketing subjects containing mathematical models. This collection of abstracts includes from the 1940's
1 model,
1950's
12
models,
1960's
80
models,
1970's (so far)
58
models.
Here and in the following we have excluded mere statistical moqels of the regression or analysis of variance types. A difficUlty facing the reader is not just the abundance of articles and the reappearance of basically the same models in various forms, but their dispersion over a great number of journals both in the marketing and in the Operations Research fields. (22 have been covered here) • As one remedy to this situation there have appeared several books of readings in which key articles have been reprinted, sometimes with editorial comment. Same of these are: F.M. Bass, et. al., (eds.), Mathematical Models and Methods in Marketing, Homewood, Illinois: R.D. Irwin, Inc., 1961. R.E. Frank, A.A. Kuehn, and W.F. Massy, Quantitat
