A computer store maintains a maximal inventory of 30 fax machines (units). On average,one unit is sold per day, but some days experience a burst of customers. A marketingsurvey suggests that customer inter-arrival times are iid exponentially distributed withrate 1 per day. When inventory drops down to 5 units on-hand, an order of 20 units isplaced to the supplier, and the order arrives in 5 to 10 days, uniformly distributed.Unsatisfied customers check back with the store and wait for the order to arrive(backordering case). Keep in mind that another order is placed immediately upon orderarrival, should the inventory level fall below the reorder level after satisfying allbackorders.a. Develop an Arena model of the computer store, and simulate it for 2 years ofdaily (9:00 AM to 5:00 PM) operation. Save the model (i.e. Arena file with doeextension) Show the set up of the model flowchart and steps to create each part.Based on the Arena Model b. Estimate the following statistics:• Average stock-on hand : _____________• Average backorder level : _________________• Percentage of time that the store runs out of stock : ___________________Note that this is the probability that a customer’s order is not satisfied and isbackordered (due to the Poisson arrival process).• Percentage of time the stock on-hand is above the reorder level :
A computer store maintains a maximal inventory of 30 fax machines (units). On average,
one unit is sold per day, but some days experience a burst of customers. A marketing
survey suggests that customer inter-arrival times are iid exponentially distributed with
rate 1 per day. When inventory drops down to 5 units on-hand, an order of 20 units is
placed to the supplier, and the order arrives in 5 to 10 days, uniformly distributed.
Unsatisfied customers check back with the store and wait for the order to arrive
(backordering case). Keep in mind that another order is placed immediately upon order
arrival, should the inventory level fall below the reorder level after satisfying all
backorders.
a. Develop an Arena model of the computer store, and simulate it for 2 years of
daily (9:00 AM to 5:00 PM) operation. Save the model (i.e. Arena file with doe
extension)
Show the set up of the model flowchart and steps to create each part.
Based on the Arena Model
b. Estimate the following statistics:
• Average stock-on hand : _____________
• Average backorder level : _________________
• Percentage of time that the store runs out of stock : ___________________
Note that this is the probability that a customer’s order is not satisfied and is
backordered (due to the Poisson arrival process).
• Percentage of time the stock on-hand is above the reorder level :
Step by step
Solved in 2 steps
