PA 17-3 Los Angeles Reporters Associated (LARA) is a newsgrou... Erlang Loss Table m 1 r=p/a 2 4 6 7 10 0.0000 0.0000 Enter a value for 'r in the green cell above. 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 Los Angeles Reporters Associated (LARA) is a newsgroup specializing in making videos and photos of Hollywood celebrities. LARA has a large network of people that report viewings of celebrities via text messages to LARA's headquarters. LARA has a set of five reporters. Upon the arrival of a text message indicating a viewing, a reporter jumps into her car and drives to the reported viewing location. On average, it takes 3 hours for a reporter to complete the process of each viewing (driving there and collecting material), with a standard deviation of 2 hours. Reporters always complete without interruption an assignment once they start. If no reporter is immediately available when a text message arrives, then the opportunity is lost - no reporter is deployed for this potential viewing. Text messages come in at a rate of 2 per hour (i.e., the interarrival times are, on average 30 minutes between viewings) and the standard deviation of the interarrival times is 30 minutes a. What is the offered load? b. What is the implied utilization of LARA'S reporters? (Round your answer to 2 decimal places.) c. What is their capacity to complete assignments (in assignments per hour)? Use the table above to determine the probability that an incoming text message d. reporting a viewing cannot be pursued (Round your answer to 4 decimal places.) e. What is the flow rate of completed assignments (assignments per hour)? (Round your answer to 2 decimal places.) f. What is the utilization of their reporters? (Round your answer to 2 decimal places.) Use the table above to determine how many reporters are needed on staff to ensure g. that they take advantage of at least 85% of the text messages received. PA 17-3 Los Angeles Reporters Associated (LARA) is a newsgrou... Erlang Loss Table m 1 r=p/a 2 4 6 7 10 0.0000 0.0000 Enter a value for 'r in the green cell above. 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 Los Angeles Reporters Associated (LARA) is a newsgroup specializing in making videos and photos of Hollywood celebrities. LARA has a large network of people that report viewings of celebrities via text messages to LARA's headquarters. LARA has a set of five reporters. Upon the arrival of a text message indicating a viewing, a reporter jumps into her car and drives to the reported viewing location. On average, it takes 3 hours for a reporter to complete the process of each viewing (driving there and collecting material), with a standard deviation of 2 hours. Reporters always complete without interruption an assignment once they start. If no reporter is immediately available when a text message arrives, then the opportunity is lost - no reporter is deployed for this potential viewing. Text messages come in at a rate of 2 per hour (i.e., the interarrival times are, on average 30 minutes between viewings) and the standard deviation of the interarrival times is 30 minutes a. What is the offered load? b. What is the implied utilization of LARA'S reporters? (Round your answer to 2 decimal places.) c. What is their capacity to complete assignments (in assignments per hour)? Use the table above to determine the probability that an incoming text message d. reporting a viewing cannot be pursued (Round your answer to 4 decimal places.) e. What is the flow rate of completed assignments (assignments per hour)? (Round your answer to 2 decimal places.) f. What is the utilization of their reporters? (Round your answer to 2 decimal places.) Use the table above to determine how many reporters are needed on staff to ensure g. that they take advantage of at least 85% of the text messages received
