运筹与管理
運籌與管理
운주여관리
OPERATIONS RESEARCH AND MANAGEMENT SCIENCE
2012年
6期
139-145
,共7页
万校基%邓贵仕%白杨%薛绍伟
萬校基%鄧貴仕%白楊%薛紹偉
만교기%산귀사%백양%설소위
管理科学与工程%周期波动%中心流形定理%商务网站%时滞效应
管理科學與工程%週期波動%中心流形定理%商務網站%時滯效應
관이과학여공정%주기파동%중심류형정리%상무망참%시체효응
management science and engineering%periodic fluctuation%the center manifold theory%e-commerce web sites%time lag effect
商务网站经常受到竞争对手及自身发展策略影响而发生波动、甚至周期性波动变化,掌握这种变化规律对于网站运营商制定合理有效决策非常关键.本文基于商务网站“强者愈强”的马太效应,提出了网站成长周期的“时滞效应”,建立了一类反映时滞效应的竞争模型,利用中心流形理论和规范式方法得到了决定商务网站发展的稳定性与周期波动性的具体表达公式,通过数值模拟验证了结论的有效性与可行性.该研究为网站运营商在认识自身发展规律和制定相关发展策略上提供了参考与依据.
商務網站經常受到競爭對手及自身髮展策略影響而髮生波動、甚至週期性波動變化,掌握這種變化規律對于網站運營商製定閤理有效決策非常關鍵.本文基于商務網站“彊者愈彊”的馬太效應,提齣瞭網站成長週期的“時滯效應”,建立瞭一類反映時滯效應的競爭模型,利用中心流形理論和規範式方法得到瞭決定商務網站髮展的穩定性與週期波動性的具體錶達公式,通過數值模擬驗證瞭結論的有效性與可行性.該研究為網站運營商在認識自身髮展規律和製定相關髮展策略上提供瞭參攷與依據.
상무망참경상수도경쟁대수급자신발전책략영향이발생파동、심지주기성파동변화,장악저충변화규률대우망참운영상제정합리유효결책비상관건.본문기우상무망참“강자유강”적마태효응,제출료망참성장주기적“시체효응”,건립료일류반영시체효응적경쟁모형,이용중심류형이론화규범식방법득도료결정상무망참발전적은정성여주기파동성적구체표체공식,통과수치모의험증료결론적유효성여가행성.해연구위망참운영상재인식자신발전규률화제정상관발전책략상제공료삼고여의거.
E-commerce web sites often fluctuate and even periodic fluctuate under the impact of competitors and self development strategy.For the better making reasonable and efficient decisions , it is vital for the website op-erators to grasp this kind of variation law.In this paper, a competitive model based on the Matthew effect has been developed for reflecting the time lag effect during the growth period of sites .The explicit formulas determi-ning the stability and periodic fluctuation of the development of commercial sites are obtained by using the center manifold theory and normal form method.Finally, the validity and feasibility of results found are demonstrated by the numerical simulation.This research supplies some references and basis for website operators to recognize self growth law and enact relative developing strategy .