模具工业
模具工業
모구공업
DIE & MOUID INDUSTRY
2014年
7期
7-13
,共7页
钱程%胡常伟%刘启煜%林道充
錢程%鬍常偉%劉啟煜%林道充
전정%호상위%류계욱%림도충
模具制造%备件%库存控制%马尔可夫链%(s,S)策略
模具製造%備件%庫存控製%馬爾可伕鏈%(s,S)策略
모구제조%비건%고존공제%마이가부련%(s,S)책략
mould manufacturing%spare parts%inventory control%Markov chain%(s,S) policy
为了降低备件对流动资金的占用,针对模具制造设备B类备件需求的随机性、离散性特点,将备件的需求视为一个泊松过程。采用(s,S)库存控制策略,考虑到此策略下备件的库存量和缺货量本身所具有的马尔可夫特性,应用马尔可夫链构建了库存量和缺货量的马尔可夫模型并推导出了状态转移概率矩阵的计算公式。在此基础上,建立了在满足一定服务水平的前提下,以一个盘点周期内期望库存总成本最小为目标的单一备件最优随机库存控制模型。鉴于某些解析式算法求解的局限性,采用了以启发式算法和启发式搜索规则相结合的求解思路,有效地缩小了模型最优解的搜索范围,最终通过MATLAB仿真实现模型求解并得到了启发式规则。以某大型轮胎模具制造企业为例,验证了该算法的有效性,表明该方法可较好地解决随机库存系统的B类备件库存控制问题。
為瞭降低備件對流動資金的佔用,針對模具製造設備B類備件需求的隨機性、離散性特點,將備件的需求視為一箇泊鬆過程。採用(s,S)庫存控製策略,攷慮到此策略下備件的庫存量和缺貨量本身所具有的馬爾可伕特性,應用馬爾可伕鏈構建瞭庫存量和缺貨量的馬爾可伕模型併推導齣瞭狀態轉移概率矩陣的計算公式。在此基礎上,建立瞭在滿足一定服務水平的前提下,以一箇盤點週期內期望庫存總成本最小為目標的單一備件最優隨機庫存控製模型。鑒于某些解析式算法求解的跼限性,採用瞭以啟髮式算法和啟髮式搜索規則相結閤的求解思路,有效地縮小瞭模型最優解的搜索範圍,最終通過MATLAB倣真實現模型求解併得到瞭啟髮式規則。以某大型輪胎模具製造企業為例,驗證瞭該算法的有效性,錶明該方法可較好地解決隨機庫存繫統的B類備件庫存控製問題。
위료강저비건대류동자금적점용,침대모구제조설비B류비건수구적수궤성、리산성특점,장비건적수구시위일개박송과정。채용(s,S)고존공제책략,고필도차책략하비건적고존량화결화량본신소구유적마이가부특성,응용마이가부련구건료고존량화결화량적마이가부모형병추도출료상태전이개솔구진적계산공식。재차기출상,건립료재만족일정복무수평적전제하,이일개반점주기내기망고존총성본최소위목표적단일비건최우수궤고존공제모형。감우모사해석식산법구해적국한성,채용료이계발식산법화계발식수색규칙상결합적구해사로,유효지축소료모형최우해적수색범위,최종통과MATLAB방진실현모형구해병득도료계발식규칙。이모대형륜태모구제조기업위례,험증료해산법적유효성,표명해방법가교호지해결수궤고존계통적B류비건고존공제문제。
Study was made to reduce the capital for spare parts inventory in which the de-mand for spare parts was regarded as a Poisson process based on the randomness and dis-crete characteristics of demands for class B spare parts of mould manufacturing equip-ments. The (s,S) inventory control policy was used and Markov chain was applied as the in-ventory level and stockout quantity has Markov property, in which the Markov model was built and the formulas of the state transition probability matrix was deduced. An optimal stochastic inventory control model was established with the goal of minimum long run aver-age total cost of a single spare part in a check period and contentment of certain service level. Because of the limitations of some analytic algorithms, an idea of heuristic algorithm combining heuristic search rule was used to narrow the scope of solution space effectively, the model was solved by MATLAB simulation and heuristic rules were got. Finally, an ex-ample of controlling the spare parts of a large tire mould manufacturing company was pre-sented to illustrate that the algorithms can preferably solve the problem of stochastic inven-tory control system.