1、 3-1Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Forecasting需求预测方法与步骤 3-2Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Foreca
2、sting预测: 是关于未来的描述 预测用于帮助管理人员 系统计划:产品服务的类型、设施配置、 厂址选择 实施计划:库存、劳动力、采购、生产进度 3-3Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Forecasting会计成本/利润估计财务现金流量人力资源招工/招聘/培训营销价格, 促销, 战略管理信息系统服务运作调度, MRP, 工作负荷产品/服务设计新产品和服务预测的用途
3、 3-4Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Forecasting 假定系统中存在因果关系过去 = 未来 由于不确定性因素的存在使得预测很少准确无误 对一组事物的预测比 对单个事物预测准确 当预测时间跨度增加时, 预测精度将下降 我看这学期你能得优秀成绩。 3-5Operations Management, Seventh Edition, by William J.
4、 StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Forecasting好的预测方法的基本要素 适时适时 精度精度 可靠可靠 含义含义 书面书面 易用易用 3-6Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Forecasting预测进行的步骤步骤步骤 1 确定预测目的
5、确定预测目的步骤步骤2 确定预测时间跨度确定预测时间跨度步骤步骤3 选择预测技术选择预测技术步骤步骤4 收集和分析数据收集和分析数据步骤步骤 5 准备预测准备预测步骤步骤 6 预测监控预测监控 “预测预测” 3-7Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Forecasting预测的类型主观判断 主观意见时间序列 使用历史数据,认为将来和过去相似联合模型 基于自变量预测未来
6、 3-8Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Forecasting主观预测主观预测 经理人员的意见 与顾客直接接触人员的意见 消费者调查 其它预测方法德尔非法Delphi method 3-9Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGr
7、aw-Hill Companies, Inc. All rights reserved.Forecasting时间序列预测长期趋势 数据的长期移动季节性变动 数据短期规则变化不规则变动 异常情况引起的变动随机变动 各种可能性引起的变动 3-10Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.ForecastingCh 10 - 7 2000 by Prentice-Hall In
8、cRussell/Taylor Oper Mgt 3/e需求变动的形式需求时间趋势变动随机变动需求时间季节变动需求时间需求时间周期变动带季节性的趋势变动 3-11Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Forecasting 简单易用 基本上不需要成本 不需要数据分析 容易理解 不能提供较高的精度 能够作为衡量精度的标准简单预测法 3-12Operations Manag
9、ement, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Forecasting 平稳时间序列数据 F(t) = A(t-1) 季节变动 F(t) = A(t-n) 长期趋势数据 F(t) = A(t-1) + (A(t-1) A(t-2)简单预测法应用 3-13Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by
10、 The McGraw-Hill Companies, Inc. All rights reserved.Forecasting简单预测简单预测唉唉, 给我点时间给我点时间. 上周我们卖了上周我们卖了250轮胎轮胎. 那么那么, 下周我们应该下周我们应该卖卖. 3-14Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Forecasting平均方法 移动平均 加权移动平均 指数平滑
11、法 3-15Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Forecasting简单移动平均图 3-4MAn = nAii = 1n35373941434547123456789101112实际数据实际数据MA3MA5 3-16Operations Management, Seventh Edition, by William J. StevensonCopyright 200
12、2 by The McGraw-Hill Companies, Inc. All rights reserved.ForecastingCh 10 - 14 2000 by Prentice-Hall IncRussell/Taylor Oper Mgt 3/e加权移动平均 可调整和反映简单移动平均法中不同时期数据的影响WMAn = i = 1Wi Di此处,Wi = 第 i 期的权重,其百分值在 0 100 之间 Wi = 1.00 3-17Operations Management, Seventh Edition, by William J. StevensonCopyright 200
13、2 by The McGraw-Hill Companies, Inc. All rights reserved.ForecastingCh 10 - 15 2000 by Prentice-Hall IncRussell/Taylor Oper Mgt 3/e加权移动平均之例月份 权重 数据八月 17% 130九月 33% 110十月 50% 90十一月的预测3130 50 900 33 110017 130103 4WMAW Diii( .)()( .)()( .)(). 3-18Operations Management, Seventh Edition, by William J. S
14、tevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Forecasting指数平滑法n假设最近的观测具有最高的预测价值.因此在预测时,应该给更近的数据赋予更高的权重.Ft = Ft-1 + (At-1 - Ft-1) 3-19Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Fo
15、recasting时期实际数据Alpha = 0.1 误差Alpha = 0.4 误差14224042-2.0042-234341.81.2041.21.844041.92-1.9241.92-1.9254141.73-0.7341.15-0.1563941.66-2.6641.09-2.0974641.394.6140.255.7584441.852.1542.551.4594542.072.9343.131.87103842.36-4.3643.88-5.88114041.92-1.9241.53-1.531241.7340.92指数平滑法举例 3-20Operations Managem
16、ent, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Forecasting选择平滑常数选择平滑常数 .1 .4实际数据实际数据 3-21Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Forecastin
17、g线性趋势方程 b 直线斜率Yt = a + bt0 1 2 3 4 5 tYb = n (ty) - tynt2 - (t)2a = y - btn 3-22Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Forecasting线性趋势方程举例t y 周 t2 销售 ty 1 1 150 150 2 4 157 314 3 9 162 486 4 16 166 664 5 25
18、 177 885 t = 15 t2 = 55 y = 812 ty = 2499 ( t)2 = 225 3-23Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Forecasting线性趋势计算y = 143.5 + 6.3t a = 812 - 6.3(15)5 =b = 5 (2499) - 15(812)5(55) - 225 = 12495-12180275-225
19、= 6.3143.5 3-24Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.ForecastingCh 10 - 25 2000 by Prentice-Hall IncRussell/Taylor Oper Mgt 3/e季节性调节DDSii 季节因子 需求重复性地增加减少 使用季节因子来调节预测 3-25Operations Management, Seventh Edit
20、ion, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.ForecastingCh 10 - 26 2000 by Prentice-Hall IncRussell/Taylor Oper Mgt 3/e季节性调节之例需求 (1000件季度) 年 1 2 3 4 总计1995 12.6 8.66.317.545.01996 14.1 10.37.518.250.11997 15.3 10.68.119.653.6总计 42.0 29.5 21.955.31
21、48.7Si 0.28 0.20 0.15 0.37趋势直线 y = 40.97 + 4.30 x1998 (第4年)的预测 = 40.97 + 4.30 (4) = 58.17199816.28 11.63 8.73 21.531142014870 28SDD.SF1 = (S1) (F5) = (0.28)(58.17) = 16.28SF2 = (S2) (F5) = (0.20)(58.17) = 11.63SF3 = (S3) (F5) = (0.15)(58.17) = 8.73SF4 = (S4) (F5) = (0.37)(58.17) = 21.53 3-26Operatio
22、ns Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.Forecasting关联预测有关的变量 预示这些量的值回归分析 用一条线去拟合一组点集最小二乘法 使线与点间的距离平方和最小 3-27Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies,
23、 Inc. All rights reserved.Forecasting线性模型010203040500510152025XY7152106134151425152716241220142720441534717经计算得出的因果关系 3-28Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.ForecastingCh 10 - 37 2000 by Prentice-Hall I
24、ncRussell/Taylor Oper Mgt 3/e回归方法 研究两个或更多变量之间的关系 因变量随自变量而变 3-29Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.ForecastingCh 10 - 38 2000 by Prentice-Hall IncRussell/Taylor Oper Mgt 3/e线性回归计算y = a + bx 此处,a = 截距b =
25、直线斜率x = 自变量y = 给定 x 时的预测值b =a = y - b x此处,n = 期数x = x , x 的平均值 ny = y , y 的平均值 n x2- nx2 xy - nxy 3-30Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.ForecastingCh 10 - 39 2000 by Prentice-Hall IncRussell/Taylor Ope
26、r Mgt 3/e线性回归之例xyxyx2436.3145.216640.1240.636641.2247.236853.042464644.026436745.6319.249539.019525747.5332.54949346.72167.731188.46)7(06. 446.1806. 446.1846.18)125. 6)(06. 4(36.4306. 4)125. 6(8311)36.43)(125. 6)(8(7 .216736.4389 .346125. 68497222yxyxbyaxnxyxnxybyx 3-31Operations Management, Seventh
27、 Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.ForecastingCh 10 - 40 2000 by Prentice-Hall IncRussell/Taylor Oper Mgt 3/e线性回归直线 3-32Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc.
28、 All rights reserved.Forecasting预测精度 误差 实际值与预测值之间的偏差 绝对平均偏差(MAD)误差的绝对值的平均值 均方差(MSE)误差的平方的平均值 跟踪信号累计误差与 MAD 之间的比率 3-33Operations Management, Seventh Edition, by William J. StevensonCopyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved.ForecastingMAD & MSEMAD = 实际值 预测值nMSE = 实际值 预测值)-12n(