运筹与管理
運籌與管理
운주여관리
OPERATIONS RESEARCH AND MANAGEMENT SCIENCE
2013年
2期
150-158
,共9页
贾涛%郑毅%徐渝%常建龙
賈濤%鄭毅%徐渝%常建龍
가도%정의%서투%상건룡
运筹学%库存管理%最优化%两级商业信用%部分延期付款%易腐品
運籌學%庫存管理%最優化%兩級商業信用%部分延期付款%易腐品
운주학%고존관리%최우화%량급상업신용%부분연기부관%역부품
operational research%inventory management%optimization%two levels of trade credit%partially per-missible delay in payments%deteriorating item
针对易腐品的经济订货批量问题展开研究.在供应商给零售商提供延迟还款的同时,零售商也给顾客提供部分延期还款条件.分五种情况分别讨论零售商的成本构成,并由此建立数学模型以求解最优订货周期使得零售商单位时间总成本最小化.通过数学证明得到了目标函数的解析性质,结果显示每种情况下在可行域范围内至多存在一个极小值点.以此为基础给出了相应的命题以有效地确定零售商的最优决策.最后通过数值算例说明了模型的有效性.
針對易腐品的經濟訂貨批量問題展開研究.在供應商給零售商提供延遲還款的同時,零售商也給顧客提供部分延期還款條件.分五種情況分彆討論零售商的成本構成,併由此建立數學模型以求解最優訂貨週期使得零售商單位時間總成本最小化.通過數學證明得到瞭目標函數的解析性質,結果顯示每種情況下在可行域範圍內至多存在一箇極小值點.以此為基礎給齣瞭相應的命題以有效地確定零售商的最優決策.最後通過數值算例說明瞭模型的有效性.
침대역부품적경제정화비량문제전개연구.재공응상급령수상제공연지환관적동시,령수상야급고객제공부분연기환관조건.분오충정황분별토론령수상적성본구성,병유차건립수학모형이구해최우정화주기사득령수상단위시간총성본최소화.통과수학증명득도료목표함수적해석성질,결과현시매충정황하재가행역범위내지다존재일개겁소치점.이차위기출급출료상응적명제이유효지학정령수상적최우결책.최후통과수치산례설명료모형적유효성.
The EOQ inventory model for deteriorating item is considered .In a single item distribution channel , the supplier offers a fixed credit period to the retailer , while the retailer in turn provides customers a partially permissible delay in payments.Five distinct cases of the system are explored , and after analyzing the cost struc-ture of the retailer under every scenario , the proper mathematical model is established to find the optimal orde -ring cycle, so that the total cost incurred per unit time has minimum value .Then the properties of the objective function are derived, and it is shown that there exists at most one minimum point under every situation within its feasible region.Upon this, several propositions are developed to efficiently determine the optimal ordering policy for the retailer.Finally, numerical examples are conducted to illustrate the effectiveness of the proposed model .