CAJ | 학술논문

文章研究了允许短缺部分拖后条件下变质性物品的联合定价与订货模型,其中物品的变质速度随时间而变化.当库存水平为正时,需求受物品销售价格的影响,当库存水平为负时,由于一部分顾客没有耐心等待物品的到来而导致销售机会的损失,且缺货量越大损失率越高.在这些假设下,证明了对任意给定的价格,最优订货周期长度和该订货周期内最优存货时间的长度不但存在而且惟一,又证明了在给定订货周期条件下平均利润函数是关于价格的严格凹函数,求出了物品的最优销售价格.最后用案例说明了模型的应用.
문장연구료윤허단결부분타후조건하변질성물품적연합정개여정화모형,기중물품적변질속도수시간이변화.당고존수평위정시,수구수물품소수개격적영향,당고존수평위부시,유우일부분고객몰유내심등대물품적도래이도치소수궤회적손실,차결화량월대손실솔월고.재저사가설하,증명료대임의급정적개격,최우정화주기장도화해정화주기내최우존화시간적장도불단존재이차유일,우증명료재급정정화주기조건하평균리윤함수시관우개격적엄격요함수,구출료물품적최우소수개격.최후용안례설명료모형적응용.
In this paper,a joint pricing and ordering model for deteriorating items with partial backlog-ging rate is developed,and the deterioration rate is changed when the time is running on.When the inventory level is positive,the demand rate depends on the selling price; but when the inventory level is negative,some customers are more impatient to wait,therefore the sale opportunity is reduced and a bigger shortage leads to a larger loss.Under these assumptions,for any given selling price the paper develops the criterion for the optimal solution to the replenishment schedule,and proves that the opti-mal replenishment policy not only exists but is also unique.It shows that the total profit per unit time is a concave function of price when the replenishment schedule is given.A simple example is provided for the proposed model at last.