欢迎来到麦多课文档分享! | 帮助中心 海量文档,免费浏览,给你所需,享你所想!
麦多课文档分享
全部分类
  • 标准规范>
  • 教学课件>
  • 考试资料>
  • 办公文档>
  • 学术论文>
  • 行业资料>
  • 易语言源码>
  • ImageVerifierCode 换一换
    首页 麦多课文档分享 > 资源分类 > PPT文档下载
    分享到微信 分享到微博 分享到QQ空间

    Chapter 2Linear Programming Models-Graphical and .ppt

    • 资源ID:379706       资源大小:104.50KB        全文页数:22页
    • 资源格式: PPT        下载积分:2000积分
    快捷下载 游客一键下载
    账号登录下载
    微信登录下载
    二维码
    微信扫一扫登录
    下载资源需要2000积分(如需开发票,请勿充值!)
    邮箱/手机:
    温馨提示:
    如需开发票,请勿充值!快捷下载时,用户名和密码都是您填写的邮箱或者手机号,方便查询和重复下载(系统自动生成)。
    如需开发票,请勿充值!如填写123,账号就是123,密码也是123。
    支付方式: 支付宝扫码支付    微信扫码支付   
    验证码:   换一换

    加入VIP,交流精品资源
     
    账号:
    密码:
    验证码:   换一换
      忘记密码?
        
    友情提示
    2、PDF文件下载后,可能会被浏览器默认打开,此种情况可以点击浏览器菜单,保存网页到桌面,就可以正常下载了。
    3、本站不支持迅雷下载,请使用电脑自带的IE浏览器,或者360浏览器、谷歌浏览器下载即可。
    4、本站资源下载后的文档和图纸-无水印,预览文档经过压缩,下载后原文更清晰。
    5、试题试卷类文档,如果标题没有明确说明有答案则都视为没有答案,请知晓。

    Chapter 2Linear Programming Models-Graphical and .ppt

    1、Chapter 2 Linear Programming Models: Graphical and Computer Methods, 2007 Pearson Education,Steps in Developing a Linear Programming (LP) Model,FormulationSolutionInterpretation and Sensitivity Analysis,Properties of LP Models,Seek to minimize or maximize Include “constraints” or limitations There m

    2、ust be alternatives available All equations are linear,Example LP Model Formulation: The Product Mix Problem,Decision: How much to make of 2 products?Objective: Maximize profitConstraints: Limited resources,Example: Flair Furniture Co.,Two products: Chairs and TablesDecision: How many of each to mak

    3、e this month?Objective: Maximize profit,Flair Furniture Co. Data,Other Limitations:Make no more than 450 chairsMake at least 100 tables,Decision Variables:T = Num. of tables to makeC = Num. of chairs to makeObjective Function: Maximize ProfitMaximize $7 T + $5 C,Constraints:,Have 2400 hours of carpe

    4、ntry time available3 T + 4 C 2400 (hours) Have 1000 hours of painting time available2 T + 1 C 1000 (hours),More Constraints: Make no more than 450 chairsC 100 (num. tables)Nonnegativity: Cannot make a negative number of chairs or tablesT 0C 0,Model Summary,Max 7T + 5C (profit) Subject to the constra

    5、ints:3T + 4C 100 (min # tables)T, C 0 (nonnegativity),Graphical Solution,Graphing an LP model helps provide insight into LP models and their solutions.While this can only be done in two dimensions, the same properties apply to all LP models and solutions.,Carpentry Constraint Line 3T + 4C = 2400Inte

    6、rcepts (T = 0, C = 600) (T = 800, C = 0),0 800 T,C6000,Feasible 2400 hrs,Infeasible 2400 hrs,3T + 4C = 2400,Painting Constraint Line 2T + 1C = 1000Intercepts (T = 0, C = 1000) (T = 500, C = 0),0 500 800 T,C 10006000,2T + 1C = 1000,0 100 500 800 T,C 1000600 4500,Max Chair Line C = 450Min Table Line T

    7、 = 100,Feasible Region,0 100 200 300 400 500 T,C5004003002001000,Objective Function Line 7T + 5C = Profit,7T + 5C = $2,100,7T + 5C = $4,040,Optimal Point (T = 320, C = 360),7T + 5C = $2,800,0 100 200 300 400 500 T,C5004003002001000,Additional Constraint Need at least 75 more chairs than tables C T +

    8、 75 Or C T 75,T = 320 C = 360 No longer feasible,New optimal point T = 300, C = 375,LP Characteristics,Feasible Region: The set of points that satisfies all constraints Corner Point Property: An optimal solution must lie at one or more corner points Optimal Solution: The corner point with the best o

    9、bjective function value is optimal,Special Situation in LP,Redundant Constraints - do not affect the feasible regionExample: x 10x 12The second constraint is redundant because it is less restrictive.,Special Situation in LP,Infeasibility when no feasible solution exists (there is no feasible region)

    10、Example: x 15,Special Situation in LP,Alternate Optimal Solutions when there is more than one optimal solution,Max 2T + 2C Subject to:T + C 0,0 5 10 T,C 1060,2T + 2C = 20,All points on Red segment are optimal,Special Situation in LP,Unbounded Solutions when nothing prevents the solution from becoming infinitely large,Max 2T + 2C Subject to:2T + 3C 6T, C 0,0 1 2 3 T,C210,Direction of solution,Using Excels Solver for LP,Recall the Flair Furniture Example:Max 7T + 5C (profit) Subject to the constraints:3T + 4C 100 (min # tables)T, C 0 (nonnegativity) Go to file 2-1.xls,


    注意事项

    本文(Chapter 2Linear Programming Models-Graphical and .ppt)为本站会员(figureissue185)主动上传,麦多课文档分享仅提供信息存储空间,仅对用户上传内容的表现方式做保护处理,对上载内容本身不做任何修改或编辑。 若此文所含内容侵犯了您的版权或隐私,请立即通知麦多课文档分享(点击联系客服),我们立即给予删除!




    关于我们 - 网站声明 - 网站地图 - 资源地图 - 友情链接 - 网站客服 - 联系我们

    copyright@ 2008-2019 麦多课文库(www.mydoc123.com)网站版权所有
    备案/许可证编号:苏ICP备17064731号-1 

    收起
    展开