Question 1 (Rivian Charging Station Capacity): Rivian, the first all-electric truck company, produces R1T (pickup trucks) and R1S (SUV) models that are designed to appeal to outdoor enthusiasts. Blue Ridge Parkway (which runs from the Shenandoah Park in Virginia to the Great Smoky Mountains National Park in North Carolina) is very popular among this population, and | Rivian has decided to install charging stations for travelers along this Parkway. Rivian needs to determine the number of charging stations, location of the stations, and capacity (number of ports) of different stations. See Appendix 1 for definitions. One of the locations that Rivian is considering is a spot in the parking lot at the entrance to a scenic trail. Travelers wanting to enjoy the trail park their vehicles in the lot and spend about 1.5 hours on the trail. Travel data suggests peak arrival rate of 3.7 vehicles per hour to this spot. The CV of the inter-arrival time is 1 . The average charging time per vehicle is 30 minutes and CV of the service time is 0.2. The costs of ports for a station are as follows: How many ports should Rivian install at this location? Justify your answer. [15 points] Hint: You can use QT calculator for solving this problem. Question 2: A friend of yours approaches you with the business idea of a private home security service. This private home security service guarantees to either dispatch one of their own 5 guards immediately if one of their customers sends in an alarm or, in the case all five guards are responding to other calls, direct the alarm to the local police. The company receives average 2.4 calls per hour, evenly distributed over the course of the day. The local police charges the home security company $500 for every call that the police responds to. It takes a guard, on average, 100 minutes to respond to an alarm. How much does the home security company have to pay the local police every month? Assume 24 hours a day and 30 days a month. [10 points] Hint: You can use the Loss Table to answer this question. This table has been posted in the folder that has the QT calculator. This table is an expanded version of the table that was used in class to solve the ER diversion problem; see Session Notes Day 8. Question 1 (Rivian Charging Station Capacity): Rivian, the first all-electric truck company, produces R1T (pickup trucks) and R1S (SUV) models that are designed to appeal to outdoor enthusiasts. Blue Ridge Parkway (which runs from the Shenandoah Park in Virginia to the Great Smoky Mountains National Park in North Carolina) is very popular among this population, and | Rivian has decided to install charging stations for travelers along this Parkway. Rivian needs to determine the number of charging stations, location of the stations, and capacity (number of ports) of different stations. See Appendix 1 for definitions. One of the locations that Rivian is considering is a spot in the parking lot at the entrance to a scenic trail. Travelers wanting to enjoy the trail park their vehicles in the lot and spend about 1.5 hours on the trail. Travel data suggests peak arrival rate of 3.7 vehicles per hour to this spot. The CV of the inter-arrival time is 1 . The average charging time per vehicle is 30 minutes and CV of the service time is 0.2. The costs of ports for a station are as follows: How many ports should Rivian install at this location? Justify your answer. [15 points] Hint: You can use QT calculator for solving this problem. Question 2: A friend of yours approaches you with the business idea of a private home security service. This private home security service guarantees to either dispatch one of their own 5 guards immediately if one of their customers sends in an alarm or, in the case all five guards are responding to other calls, direct the alarm to the local police. The company receives average 2.4 calls per hour, evenly distributed over the course of the day. The local police charges the home security company $500 for every call that the police responds to. It takes a guard, on average, 100 minutes to respond to an alarm. How much does the home security company have to pay the local police every month? Assume 24 hours a day and 30 days a month. [10 points] Hint: You can use the Loss Table to answer this question. This table has been posted in the folder that has the QT calculator. This table is an expanded version of the table that was used in class to solve the ER diversion problem; see Session Notes Day 8
