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随机需求下易变质产品的订购与定价策略

兰德新 赵萌

重庆理工大学学报:自然科学2012,Vol.26Issue(1):112-118,7.
重庆理工大学学报:自然科学2012,Vol.26Issue(1):112-118,7.

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

兰德新 1赵萌1

作者信息

  • 1. 武夷学院数学与计算机系,福建武夷山354300
  • 折叠

摘要

Abstract

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

Key words

stochastic demand/partial backlogging rate/(T/S) inventory strategy/inventory model

分类

数学

引用本文复制引用

兰德新,赵萌..随机需求下易变质产品的订购与定价策略[J].重庆理工大学学报:自然科学,2012,26(1):112-118,7.

基金项目

福建教育厅科技基金资助项目 ()

重庆理工大学学报:自然科学

OACSTPCD

1674-8425

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