17 eBook References An M/M/4 system has an arrival rate of 15 customers per hour. Each server has a service rate of 7 customers per hour. a. What is the utilization factor for this system? Note: Round your answer to 3 decimal place. Utilization Factor 0.536 b. If all servers are kept busy, how many services will be completed per hour on average? Note: Round your answer to the nearest whole number. Services Completed 2
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- An MI M/3 system has an arrival rate of 16 customers per hour. Each server has a service rate of 7 customers per hour. a. What is the utilization factor for this system? (Round your answer to 3 decimal places.) Utilization factor b. If all servers are kept busy, how many services will be completed per hour? (Round your answer to the nearest whole number.) Services completed per hourAn MI MI3 system has an arrival rate of 11 customers per hour. Each server has a service rate of 8 customers per hour. a. What is the utilization factor for this system? (Round your answer to 3 decimal places.) Utilization factor b. If all servers are kept busy, how many services will be completed per hour? (Round your answer to the nearest whole number.) Services completed per hour Mc Graw Hill ASUSWith a 10% availability buffer, a contact centre has been handling 900 consumers per day. Customers have shown dissatisfaction with the amount of time it takes for their call to be replied. How much additional space is needed if the call centre manager wishes to double the capacity cushion?
- A call center has been serving 900 customers per day, with a 10% capacity cushion. There have been complaints about the length of time customers have to wait before their call is answered. If the manager of the call center wants to double the capacity cushion, how much extra capacity is needed?1. What is the outcome when a bottleneck resource is augmented with more capacity? 2. Which of the following statements are true? a) Installed capacity in service systems are always based on peak demand b) Service systems designed to handle average capacity will be more effective c) Improving effectiveness of a service will require greater investment of capacity d) None of the above 3. The arrival rate at the second server in a two stage serial queuing system is a. Service rate of server 1 b. Same as arrival rate at server 1 c. Minimum of service rate and arrival rate at server 1 d. Cannot be determined In a worker paced assembly line, consider a situation where the daily requirement has suddenly increased. Which of the following statements will be true? 4. In a worker paced assembly line, consider a situation where the daily requirement has suddenly increased. Which of the following statements will be true? a) The required cycle time will also increase proportionally b) The…(10 Points) Eat well is a small drive through fast food restaurant, staffed by anefficient employee John, is located in a super mall area. Customers arrive at thecounter at an average of one every 15 minutes, and the customer arrival followsa Poisson distribution. John takes at most 10 minutes to process each foodorder.a) What is average number of customer being served at any time?b) The expected number of customers waiting to be served.c) Compute the average time customer wait in the system.d) Compute the average time customer wait in the line.e) What percentage of time is John Idle?
- During the early morning hours, customers arrive at a branch post office at an average rate of 45 per hour (Poisson), while clerks can handle transactions in an average time (exponential) of 4 minutes each. If clerk cost is $30 per hour and customer waiting time represents a "cost" of $20 per hour, how many clerks can be justified on a cost basis? Select one: O a. 3 O b. 6 O c. 4 O d. 5The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 27 minutes. a. How many Avis buses are traveling to and from the airport? Note: Round your answer to the nearest whole number. Number of Avis buses b. The branch manager wants to improve the service and suggests dispatching buses every 1.0 minute. She argues that this will reduce the average traveling time (a round trip) to 4.0 minutes. Is she correct? If your answer is negative, then what will the average traveling time be? average traveling time is minutesProblem 15-9 (Algorithmic) Marty's Barber Shop has one barber. Customers have an arrival rate of 2.1 customers per hour, and haircuts are given with a service rate of 5 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: d. round your answer to four decimal places. What is the c. What is the P3- a haircor and no one is waiting if req d. What is the probability that one customer is receiving a haircut and two customers are waiting? If required, round your answer to four decimal places. Wq- customer is waiting? If rec e. What is the probability that more than two customers are waiting? If required, round your answer to four decimal places. P(More than 2 waiting) - f. What is the average time a customer waits for service? If required, round your answer to four decimal places. hours mal places.
- During the recent pandemic, the seaport in Savannah Georgia, the third busiest in the United States, averaged loading or unloading 5.5 cargo ships per week. The average time to unload a ship is 1.95 days. Multiple cranes to load and unload the ship operate six days a week. Do not round intermediate calculations. a. How many ships are waiting to be unloaded on average using Little's Law? Round your answer up to the nearest whole number. ship(s) b. During the pandemic, at times, demand doubled, how many ships are waiting to be unloaded on average using Little's Law? Round your answer up to the nearest whole number. ship(s) C. If demand remains at 5.5 cargo ships per week and through better scheduling, training, and crane operations, the average time to unload a ship lowers to 1.05 days, how many ships are waiting? Round your answer up to the nearest whole number. ship(s)Using the data on call volume in the accompanying table, how would you forecast short-term demand?Party O 6 3 1 2 3 4 5 6 7 8 9 10 00 Number in Party O 10 3 2 2 2 4 3 2 3 2 4 Arrival Time 7:00 7:02 7:05 7:10 7:12 7:13 7:15 7:22 7:26 7.29 There is a single server that serves the entire customer party, no matter what the size, in the numbe of minutes shown in the table above. How many total customers in line and being served at 7:17am? None of the answers are correct. Service Time (minutes) 6 5 4 6 4 5 4 5 5 4