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ALGORITHMICA
2011

Algorithms for Marketing-Mix Optimization

7 years 10 months ago
Algorithms for Marketing-Mix Optimization
Algorithms for determining quality/cost/price tradeoffs in saturated markets are consid-3 ered. A product is modeled by d real-valued qualities whose sum determines the unit cost of producing4 the product. This leads to the following optimization problem: given a set of n customers, each of5 whom has certain minimum quality requirements and a maximum price they are willing to pay, design6 a new product and select a price for that product in order to maximize the resulting profit.7 An O(n log n) time algorithm is given for the case, d = 1, of products having a single quality,8 and O(n(log n)d+1) time approximation algorithms are given for products with any constant number,9 d, of qualities. To achieve the latter result, an O(nkd−1) bound on the complexity of an arrangement10 of homothetic simplices in Rd is given, where k is the maximum number of simplices that all contain11 a single points.12 ½ ÁÒØÖÓ Ù Ø ÓÒ13 Revealed preference theory [13] is a method of determining a co...
Joachim Gudmundsson, Pat Morin, Michiel H. M. Smid
Added 24 Aug 2011
Updated 24 Aug 2011
Type Journal
Year 2011
Where ALGORITHMICA
Authors Joachim Gudmundsson, Pat Morin, Michiel H. M. Smid
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