BARNES BARBER SHOPS
Robert Barnes needs to decide where to get a haircut. He has narrowed the choice down to twolocal hair salons – Large Hair Salon (LHS) and Small Hair Cutters (SHC). During busy periods, a new customer walks into LHS every 15 minutes on average, with astandard deviation of 15 minutes. At SHC, a customer walks in every hour on average, with astandard deviation of 1 hour. LHS has a staff of 4 barbers, while SHC has 1 barber. The averageservice time at both salons is 45 minutes, with a standard deviation of 45 minutes.
Q1. If Robert walks into LHS during a busy period, how long must he wait in line (in minutes)before he receives a haircut? (Only include the waiting time, not any service time)
Q2. What is the total average flow time (in minutes) of LHS, which includes both the waitingtime and the time in service?
Q3. How many customers, on average will be in LHS, including both customers waiting in lineand customers being served?
Q4. What is the average number of customers in service (excluding those that are waiting in line)in LHS?
Q5. If Robert goes to SHC, how long (in minutes) must he wait in line before his haircut starts?
Q6. LHS will buy out SHC. LHS will then close SHC’s operations and serve all customers, including existing SHC customers, at the LHS location only. Assuming that the previous traffic of SHC customers now flows to the LHS location, what is the new inter-arrival time (in minutes) at LHS?