兰州大学学报(自然科学版)
蘭州大學學報(自然科學版)
란주대학학보(자연과학판)
JOURNAL OF LANZHOU UNIVERSITY(NATURAL SCIENCES)
2009年
6期
136-142
,共7页
库存模型%易变质产品%多种产品%简约梯度法
庫存模型%易變質產品%多種產品%簡約梯度法
고존모형%역변질산품%다충산품%간약제도법
inventory model%deteriorating item%multi-item%reduced gradient method
在给定时间范围内,研究了多种易变质产品的一次性联合汀购决策,使库存系统总成本最小的问题.在允许缺货、库存空间和资金有约束的条件下,建立了此问题的数学模型并证明了该问题是一个凸规划问题.依据简约梯度法,给出了求解每种产品最优订购量的具体算法.最后,以三种易变质产品为例进行数值仿真,分别分析了相关参数以及总的库存空间和资金的变化对最优订购策略和系统最小总成本的影响.
在給定時間範圍內,研究瞭多種易變質產品的一次性聯閤汀購決策,使庫存繫統總成本最小的問題.在允許缺貨、庫存空間和資金有約束的條件下,建立瞭此問題的數學模型併證明瞭該問題是一箇凸規劃問題.依據簡約梯度法,給齣瞭求解每種產品最優訂購量的具體算法.最後,以三種易變質產品為例進行數值倣真,分彆分析瞭相關參數以及總的庫存空間和資金的變化對最優訂購策略和繫統最小總成本的影響.
재급정시간범위내,연구료다충역변질산품적일차성연합정구결책,사고존계통총성본최소적문제.재윤허결화、고존공간화자금유약속적조건하,건립료차문제적수학모형병증명료해문제시일개철규화문제.의거간약제도법,급출료구해매충산품최우정구량적구체산법.최후,이삼충역변질산품위례진행수치방진,분별분석료상관삼수이급총적고존공간화자금적변화대최우정구책략화계통최소총성본적영향.
The joint replenishment policies of multiple products were studied to minimize the system's total cost during a given time. A mathematical model was developed when space and investment constraints were considered and shortages were allowed in this case. This problem proved to be a convex programming. An algorithm to find the optimal ordering quality of each product was given based on the gradient method.A numeric example including three deteriorating products was studied and the influences on the optimal ordering quantities of each product and the minimal total cost which was caused by changes in its relevant parameter values, the total space and investment were analyzed.