An online footwear firm Shoe-n-co has four regional warehouses. Demand at each warehouse is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Each order incurs an ordering cost of $1,000 (primarily from fixed transportation cost), and lead time is 1 week. The company wants the probability of stocking out to be no more than 5%.  Assume 50 working weeks per year.               Assuming that each warehouse operates independently, calculate the ROP parameter of the optimal continuous review policy. Assuming that each warehouse operates independently, calculate the Q parameter of the optimal continuous review policy. How much safety stock does each warehouse have?

Practical Management Science
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ISBN:9781337406659
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An online footwear firm Shoe-n-co has four regional warehouses. Demand at each warehouse is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Each order incurs an ordering cost of $1,000 (primarily from fixed transportation cost), and lead time is 1 week. The company wants the probability of stocking out to be no more than 5%.  Assume 50 working weeks per year.              

  • Assuming that each warehouse operates independently, calculate the ROP parameter of the optimal continuous review policy.
  • Assuming that each warehouse operates independently, calculate the Q parameter of the optimal continuous review policy.
  • How much safety stock does each warehouse have?

 

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