2007
DOI: 10.1016/j.ejor.2005.06.042
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Optimal product design using a colony of virtual ants

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Cited by 67 publications
(27 citation statements)
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“…E.g. if r1= (2,3), r2= (3,5), r3= (4,7), then E(ai)={2, 3,4,5,7} and I(ai)={ [2,3], [3,4], [4,5], [5,7]}. Note that |E(ai)| ≤ 2×|Q| and |I(ai)| ≤ 2×|Q|-1, where |Q| is the number of queries in Q.…”
Section: Numeric Sigtreemtd Algorithmmentioning
confidence: 99%
“…E.g. if r1= (2,3), r2= (3,5), r3= (4,7), then E(ai)={2, 3,4,5,7} and I(ai)={ [2,3], [3,4], [4,5], [5,7]}. Note that |E(ai)| ≤ 2×|Q| and |I(ai)| ≤ 2×|Q|-1, where |Q| is the number of queries in Q.…”
Section: Numeric Sigtreemtd Algorithmmentioning
confidence: 99%
“…Product design is determination of the best mix of characteristics for a product or service offering. The approaches adopted address consumer decision-making, including preference, attributes, and choice, as well as company-related costs and profit estimates (Albritton and McMullen 2007). Product-line selection and product positioning models focus on selecting and pricing product variants for markets (Krishnan and Ulrich 2001).…”
Section: Product Design and Optimizationmentioning
confidence: 99%
“…Shocker et al [14] first represented products and consumer preferences as points in a joint attribute space. Later, several techniques [1,2] were developed to design/position a new item. Work in this domain requires direct involvement of consumers, who choose preferences from a set of existing alternative products.…”
Section: Related Workmentioning
confidence: 99%
“…Next, consider a z ′ -dimensional cube with each side of length L = O(n m ). We partition the cube into z ′ -dimensional cells as follows: Along each axis, start with the furthest value L, and then proceed towards the origin by marking the points L/(1 + σ), L/(1 + σ) 2 , and so on. The number of points marked along each axis is log (1+σ) L = O(m log (1+σ) n) which is a polynomial in m and n. Then at each marked point we pass (z ′ − 1)-dimensional hyperplanes perpendicular to the corresponding axis.…”
Section: Proof Of Part 2 (Sketch)mentioning
confidence: 99%