Question: Consider an item whose demand is continuous but stochastic. This item is ordered once every cycle when the inventory in hand reaches the reorder level.
- Consider an item whose demand is continuous but stochastic. This item is ordered once every cycle when the inventory in hand reaches the reorder level. The supply lead time is 5 periods. This means that the quantity ordered is delivered 5 periods after the order is placed. The per period demand is normally distributed with a mean of 30 units and a standard deviation of 7 units. The company wants to target a CSL of 95 percent. This means that out of a hundred cycles, the item will stock out about 5 times. A stock out event occurs when the demand during the lead time exceeds the reorder level.
- Simulate the demand per period for 5 periods in any ordering cycle; repeat for 300 cycles. Please name the cycles as 1, 2, 3, , 300. You may use the Excel functions NORMINV and RAND() for the simulation. Alternatively, you may use the random number generator to generate 300 random values of per period demand.
- Calculate the reorder level (for continuous review) corresponding to the CSL and the other data given. Note that this value will be the same for all the cycles.
- Denote a stock out event as 1. Use 0 to denote the cases when there is no stock out. Use a simple conditional function for this. Count the total number of stock out events. Estimate the empirical value of the probability of a stock out. Hence, estimate the empirical value of the CSL.
Please solve in excel and give screen shoots of it,With formulas
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