CAJ | 학술논문

假定系统运行在有限计划期的前提下,考虑了基于3种不同形式批量折扣及支付时间折扣的多物品多阶段联合订购问题.给出了在有限计划期内每个阶段寻求多种物品最优订购批量和最佳滞后(或提前)支付货款时间的算法.并针对基本订购费用为零时,提出了一个基于动态规划方法寻求多种物品最优订购策略的更有效算法,分析了基本订购费用取不同值和供货商提供不同批量折扣方式对销售商最优订购策略和总利润的影响.最后,利用数字实例说明模型的求解过程.
가정계통운행재유한계화기적전제하,고필료기우3충불동형식비량절구급지부시간절구적다물품다계단연합정구문제.급출료재유한계화기내매개계단심구다충물품최우정구비량화최가체후(혹제전)지부화관시간적산법.병침대기본정구비용위령시,제출료일개기우동태규화방법심구다충물품최우정구책략적경유효산법,분석료기본정구비용취불동치화공화상제공불동비량절구방식대소수상최우정구책략화총리윤적영향.최후,이용수자실례설명모형적구해과정.
This paper considers the multi-item multi-stage joint ordering problem based on three kinds of quantity discounts and payment time discount under the assumption that the time horizon of the system is finite. An algorithm for finding the optimal ordering quantity and the optimal delayed (or advanced) time of payment of each item is presented. A more efficient algorithm for finding the multi-item optimal ordering policies based on the dynamic program is provided as the basic ordering cost is zero. The effect on the retailer's optimal ordering policies and total profit is analyzed for different basic ordering costs and different quantity discount policies. Numerical example is given to illustrate the solution procedure.