运筹与管理
運籌與管理
운주여관리
Operations Research and Management Science
2015年
4期
122-127
,共6页
运筹学%截流设施选址%选址-价格%纳什均衡%模拟退火算法
運籌學%截流設施選阯%選阯-價格%納什均衡%模擬退火算法
운주학%절류설시선지%선지-개격%납십균형%모의퇴화산법
operations research%flow-interception facility location%location-pricing%Nash equilibrium%simula-ted annealing algorithm
研究了竞争环境下考虑产品定价的截流设施选址问题。连锁企业在市场上新建设施时,市场上已有属于竞争对手的设施存在,在连锁企业新建设施位置确定之后,两个企业关于产品定价进行双寡头完全信息非合作博弈。定义了效用函数,引入Huff模型,以企业利润最大为目标,建立双层规划模型,证明了模型纳什均衡价格的存在性,并构造启发式算法对模型进行求解。算例分析表明,该算法求解结果较为理想,可用于大中型网络的规划选址问题。
研究瞭競爭環境下攷慮產品定價的截流設施選阯問題。連鎖企業在市場上新建設施時,市場上已有屬于競爭對手的設施存在,在連鎖企業新建設施位置確定之後,兩箇企業關于產品定價進行雙寡頭完全信息非閤作博弈。定義瞭效用函數,引入Huff模型,以企業利潤最大為目標,建立雙層規劃模型,證明瞭模型納什均衡價格的存在性,併構造啟髮式算法對模型進行求解。算例分析錶明,該算法求解結果較為理想,可用于大中型網絡的規劃選阯問題。
연구료경쟁배경하고필산품정개적절류설시선지문제。련쇄기업재시장상신건설시시,시장상이유속우경쟁대수적설시존재,재련쇄기업신건설시위치학정지후,량개기업관우산품정개진행쌍과두완전신식비합작박혁。정의료효용함수,인입Huff모형,이기업리윤최대위목표,건립쌍층규화모형,증명료모형납십균형개격적존재성,병구조계발식산법대모형진행구해。산례분석표명,해산법구해결과교위이상,가용우대중형망락적규화선지문제。
We present the model of optimizing the location and pricing for a firm entering a competitive market in a flow interception problem.The entering firm charges uniform mill price and aims at finding the locations and price to optimize its overall profit.The competitor, on the other hand, can react by adjusting its price with the objective of maximizing its own profit.We define the utility functions, and a probability of customers on each path patronizing the facility is described by a Huff-like model.A heuristic algorithm is presented.We also ana-lyze the benefit of the entering firm gains considering the competitor’ s reaction.