IE383_Midterm2_S09_Final_Sol1

IE383_Midterm2_S09_Final_Sol1 - 16 IE 383 (Spring 2009)...

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1 – 6 IE 383 (Spring 2009) Test #2 Solution ========================================================================== 1. (10 points) Draw the relationship between the throughput rate of a production system vs. its work-in-process (WIP) inventory level. Please clearly mark each axis (x and y), the max WIP inventory level, and the system capacity.
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2 – 6 IE 383 (Spring 2009) Test #2 Solution ========================================================================== 2. (20 points) CAF Electronic Product Inc. supplies the High Definition Mini Drive (HDMD) in Indiana and it seeks national market expansion. The demand data of HDMD for the last two years are given in the following table. Year Demand (in 1,000) 2007 9 2008 22 2009 39 We believe the data follow an exponential model Use Exponential Smoothing to forecast the demand for year 2012. The smoothing constant ( α ) is 0.2. Show all your calculation steps and keep TWO decimal points for all calculations and the final answer. Let t=1corresonds to year 2007, t=2corresonds to year 2008 and so on. = . α 0 2 = = . a'1 Y'1 2 20 = - - = . b1 Y'8 Y'18 1 0 73 = - - =- . Y'1 a'1 b11 αα 0 72 = - * - =- . Y'1 a'1 2 b11 αα 3 64 t Y’(t) * ( ) α Y' t ( - )* ( - ) 1 α Y' t 1 ( ) Y' t * α ( ) Y' t (1- )* - α Y't 1 Y't 1 2.20 -0.72 -3.64 2 3.09 0.62 -0.58 0.04 0.01 -2.91 -2.90 3 3.66 0.73 0.03 0.76 0.15 -2.32 -2.17 = - - = . Y'3 a'3 b31 αα 0 76 = - * - =- . Y'3 a'3 2 b31 αα 2 17 ( )= . = . a' 3 3 69 b3 0 73 = + - = . Y'6 a'3 b36 3 5 88 = ( . )= . Y6 exp 6 65 357 81
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H t , F t , W t , I t , P t , O t 0 3 – 6 IE 383 (Spring 2009) Test #2 Solution ========================================================================== 3. (35 points + extra credit 5 points)
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IE383_Midterm2_S09_Final_Sol1 - 16 IE 383 (Spring 2009)...

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