Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/32577
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dc.contributor.advisor李明融zh_TW
dc.contributor.author林雨農zh_TW
dc.creator林雨農zh_TW
dc.date2006en_US
dc.date.accessioned2009-09-17T05:47:00Z-
dc.date.available2009-09-17T05:47:00Z-
dc.date.issued2009-09-17T05:47:00Z-
dc.identifierG0093751008en_US
dc.identifier.urihttps://nccur.lib.nccu.edu.tw/handle/140.119/32577-
dc.description碩士zh_TW
dc.description國立政治大學zh_TW
dc.description應用數學研究所zh_TW
dc.description93751008zh_TW
dc.description95zh_TW
dc.description.abstract銷售力一直是一個企業關切的主要議題,借助Vidale-Wolfe數學模型,我們提出一個銷售力數學模型。藉由熱傳導方程,刻畫由資訊交流產生的自身銷售力。在資訊交流及商品促銷下產生的銷售力,可經由非齊次熱傳導方程描繪。然而,我們無法以單一非齊次熱傳導方程描繪所有情況,因此,模型建立與問題解決須於不同情況下逐一地討論。\n 透過充分的數據,銷售力是可以被預估的;另外,我們也可以利用此模型,對於行銷策略加以評估。\n 異於以往大部分的研究,此模型加入了空間上的概念,對於傳導現象而言,這是相當重要的。zh_TW
dc.description.abstractSale intensity is always one of the major subjects that business is concerned\nabout. We propose a mathematical model based on the concept given by\nVidale-Wolfe to characterize the behavior of sale intensity.\n Using the sense of diffusion in heat equation, we could characterize the\nbehavior of sale intensity starting from the spontaneous sale intensity caused\nby the circulating of information. The behavior of changing on sale intensity under the effect of diffusing by\nthe circulating of information and the promoting activities can be generally\nmodeled as nonhomogeneous heat equations. However, because of the great difference between cases, the problem\nformulating and model solving cannot be generally modeled as one certain\nnonhomogeneous heat equation and are restricted to be discussed case by case.%\n The further sale intensity is predictable possibly with sufficient data, but\nwithout sufficient data, we can also use the model to appraise the\nspontaneous sale intensity and the benefit of each advertising strategy in\npractical.\n Different from most previous relevant studies, the model supports the studies of sale\nintensity diffusing over geographic regions, which is especially of significance\nin spontaneous sale intensity.en_US
dc.description.tableofcontents中文摘要 i\nAbstract ii\n1.Introduction 1\n2.Preliminaries and notation 4\n3.Model and problem formulation 5\n4.Solution for the relatively short advertising campaign 10\n5.Application in practical 14\n6.Discussion 17\n7.Conclusion 23\nReferences 25zh_TW
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dc.language.isoen_US-
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#G0093751008en_US
dc.subject傳導方程zh_TW
dc.subject銷售力zh_TW
dc.subject擴散係數zh_TW
dc.subjectheat equationen_US
dc.subjectsale intensityen_US
dc.subjectdiffusion coefficienten_US
dc.title銷售力之數學模型zh_TW
dc.titleA Mathematical Model Model on Sale Intensityen_US
dc.typethesisen
dc.relation.reference[1] Vidale, M.L., and Wolfe, H.B., An Operation Research Study for Sale Responcezh_TW
dc.relation.referenceto Advertising , Operations Research 5 (1957), 370-381.zh_TW
dc.relation.reference[2] Nerlove, M., and J.K. Arrow, Optimal Advertising Policy Under Dynamic Conditionszh_TW
dc.relation.reference, Econamica, 29 (1962), 129-142.zh_TW
dc.relation.reference[3] Kaliappan, P., nonlinear heat equations: An exact solution for travelling waveszh_TW
dc.relation.referenceof ut = Duxx + u ¡ uk: , Physica D. 11 (1984), 368-374.zh_TW
dc.relation.reference[4] Marinelli Carlo, and Savin Sergei, Optimal distributed dynamic advertising,zh_TW
dc.relation.referenceeprint arXiv:math, 0406435 (2004).zh_TW
dc.relation.reference[5] Agmon,S., Lectures on Elliptic Boundary Value Problems , D. Van Nostrandzh_TW
dc.relation.referenceCo., Princeton,1965. 29 (1965).zh_TW
dc.relation.reference[6] Nerlove, M., and J.K. Arrow, Mathmetical Methods in Optimization of Differentialzh_TW
dc.relation.referenceSystems, Kluwer,Dorrecht, (1995).zh_TW
dc.relation.reference[7] Bronnenberg, B.J., and V. Mahajan, Unobserved Retailer Behavior in Multi-zh_TW
dc.relation.referenceMarket data:Joint Spatial Dependence in Market Shares and Promotion Variableszh_TW
dc.relation.reference, Marketing Science, 20 (2001), 284-299.zh_TW
dc.relation.reference[8] Dube, J.P., and P. Manchanda, Difference in Dynamic Brand Competitionzh_TW
dc.relation.referenceacross Markets: An Empirical Analysis, Forthcoming Marketing Science, (2004).zh_TW
dc.relation.reference[9] Feichtinger, G., Hartl, R.F., and S.P. Sethi, Dynamic Optimal Control Model inzh_TW
dc.relation.referenceAdvertising: Resent Developments, Management Science, 40 (1994),195-226.zh_TW
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