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reorder point

 
 
Reply Sat 26 Feb, 2011 10:00 am
A shoe repair store needs on average, 100 shoe soles every week. Weekly usage has a standard deviation of 2 soles. The owner decides to accept no more than 5% of stockout during the lead time of two weeks. Based on the normal distribution of usage variable, what is the reorder point?
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Type: Question • Score: 0 • Views: 1,605 • Replies: 7
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View best answer, chosen by clemson131746
JPB
 
  1  
Reply Sat 26 Feb, 2011 10:13 am
@clemson131746,
I'm not sure of the lingo used in the problem. Does "no more than 5% of stockout" mean that he wants to ensure that he always has at least 95% projected two-week inventory on hand, or that he's willing to get down to within 5% of his daily needs before he's "out of stock"?

Also, how willing is he to being wrong? Does "no more than 5%" mean with 95% confidence, 99% confidence, something else?
clemson131746
 
  1  
Reply Sat 26 Feb, 2011 10:25 am
@JPB,
He wants to ensure he has at least 95% projected two-week inventory on hand with 99 confidence.
JPB
 
  1  
Reply Sat 26 Feb, 2011 10:47 am
@clemson131746,
Okay, so a two week inventory is 200 soles (on average). He wants to be 99% confident that he never gets below 190 soles on hand (95%). He also needs to account for the potential 212 soles he's going to use while he waits = 402. The 212 comes from (100 + 3sd)(2 weeks)=99% confidence .
clemson131746
 
  2  
Reply Sat 26 Feb, 2011 10:56 am
@JPB,
Thanks.
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clemson131746
 
  1  
Reply Sat 26 Feb, 2011 11:44 am
@JPB,
What if he wants to know with 100% confidence? What would the reorder point be?
JPB
  Selected Answer
 
  2  
Reply Sat 26 Feb, 2011 11:55 am
@clemson131746,
Use 4 sds (2*4=8) plus 100 = 108 times 2 weeks = 216. Plus the 190 base stock = 406
clemson131746
 
  1  
Reply Sat 26 Feb, 2011 12:04 pm
@JPB,
perfect, thanks.
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