随机需求下易变质产品的订购与定价策略  

Order and Pricing Strategy of perishable Product under Stochastic Demand

作　　者：兰德新[1] 赵萌[1] 

机构地区：[1]武夷学院数学与计算机系,福建武夷山354300

出　　处：《重庆理工大学学报（自然科学）》2012年第1期112-118,共7页Journal of Chongqing University of Technology：Natural Science

基　　金：福建教育厅科技基金资助项目(JA10269)

摘　　要：考虑:需求率为随机波动函数且依赖于产品销售价格,即dX(p)=(a-bp)X/μ且X服从Gamma-分布Γ(λ,k),其中λ>0,k≥2;允许缺货,缺货部分延期供给,拖后率是β(t)=e-kt,k>0,t是等待时间,研究了单一易变质产品的最优订购与定价策略。采用周期盘点的(T,S)库存策略,即每隔相同的订购周期时长T,将库存水平补充到S,在不考虑固定订购成本及订购提前期的前提下,短缺量部分延期供给,建立了库存模型。利用最小二乘法原理和泰勒展开分析了易变质产品最优订购与定价策略的算法,并给出算例进行仿真,说明了算法的有效性。Considering that the demand rate is a stochastic fluctuation function and dependent on the price of product sale,namely dX（p）=（a-bp）X/μ,and it obeys the Gamma-distribution Γ（λ,k）,λ0,k≥2,allowed out of stock,and the deferred stock parts postpone supply,and the delayed rate is β（t）=e-kt,k0 as well as t is the waiting time,the paper researched on optimal order and pricing strategy of the single perishable product.It adopts（T,S） inventory strategy of cycle count.That is to say that the inventory level will be supplemented to S for each same order period T.Under the precondition without considering fixed order cost and order lead time,the paper established an inventory model by means of postpone supply for shortage part.Using the least square method and the Taylor expansion,it analyzed the algorithm of optimal order and pricing strategy for the perishable product,and gave the simulation of calculated case so as to show the algorithm effectiveness.

关 键 词：随机需求 拖后率 (T S)库存策略 库存模型 

分 类 号：O21[理学—概率论与数理统计]