系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2013年
5期
1167~1174
,共null页
二级供应链 易变质产品 学习效应 凸函数
二級供應鏈 易變質產品 學習效應 凸函數
이급공응련 역변질산품 학습효응 철함수
two-echelon supply chain; deteriorating item; learning effect; convex function
研究了由一个制造商和一个分销商组成的易变质产品二级供应链的最优生产与订购策略.有限时期内,上游制造商采取按订单生产的方式应对下游分销商的需求,制造商生产过程以及分销商订购过程具有学习效应,对此建立二级供应链系统决策问题的数学模型.目标是要确定使得系统总成本最低的决策变量,包括生产量,订购次数以及订购时间.通过分析系统的成本结构,利用将订购次数松弛为连续变量的技巧,证明了系统最优策略的存在性和唯一性,给出了最优策略的求解方法.最后通过应用实例进行了验证.
研究瞭由一箇製造商和一箇分銷商組成的易變質產品二級供應鏈的最優生產與訂購策略.有限時期內,上遊製造商採取按訂單生產的方式應對下遊分銷商的需求,製造商生產過程以及分銷商訂購過程具有學習效應,對此建立二級供應鏈繫統決策問題的數學模型.目標是要確定使得繫統總成本最低的決策變量,包括生產量,訂購次數以及訂購時間.通過分析繫統的成本結構,利用將訂購次數鬆弛為連續變量的技巧,證明瞭繫統最優策略的存在性和唯一性,給齣瞭最優策略的求解方法.最後通過應用實例進行瞭驗證.
연구료유일개제조상화일개분소상조성적역변질산품이급공응련적최우생산여정구책략.유한시기내,상유제조상채취안정단생산적방식응대하유분소상적수구,제조상생산과정이급분소상정구과정구유학습효응,대차건립이급공응련계통결책문제적수학모형.목표시요학정사득계통총성본최저적결책변량,포괄생산량,정구차수이급정구시간.통과분석계통적성본결구,이용장정구차수송이위련속변량적기교,증명료계통최우책략적존재성화유일성,급출료최우책략적구해방법.최후통과응용실례진행료험증.
The paper studies the optimal production and order policies with deteriorating items for a two-echelon supply chain system consisted of one manufacturer and one retailer. In a finite planning horizon, manufacturer adopts make-to-order policy to satisfy the demand of retailer. The learning effects in production and order processes are considered. A mathematical model is established for this two-echelon supply chain system. The objective is to decide the optimal decision variables, including the optimal production quantities, the optimal number of order and the optimal order time so as to minimize the total cost of the system. Via analyzing the cost structure of the system, this paper proves the existence and uniqueness of the optimal policy by using the technique of relaxing order times to continuous variable, and proposes the method to solve the optimal policy. Finally, the paper presents a numerical example to illustrate the applications of theoretical results.