An MI MI4 system has an arrival rate of 12 customers per hour. Each server has a service rate of 13 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.)
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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 hourProblem 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)
- Determining the Number of ServersIn the service department of the Glenn-Mark Auto Agency, mechanics requiring parts for auto repair or service present their request forms at the parts department counter. The parts clerk fills a request while the mechanic waits. Mechanics arrive in a random (Poisson) fashion at the rate of 40 per hour, and a clerk can fill requests at the rate of 20 per hour (exponential).If the cost for a parts clerk is $30 per hour and the cost for a mechanic is $60 per hour, determine the optimum number of clerks to staff the counter. (Because of the high arrival rate, an infinite source may be assumed.)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. What is the utilization factor for this system? (Round your answer to 3 decimal place.) If all servers are kept busy, how many services will be completed per hour? (Round your answer to the nearest whole number.)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…
- Saved Help Save & Exit Su In an M/MA queueing system, the arrival rate is 3 customers per hour and the service rate is 5 customers per hour. a. What is the utilization? (Round your answer to 3 decimal places.) Utilization b. What is the expected number of customers in the system (L)? (Round your answer to 3 decimal places.) Expected number of customers c. What is the expected waiting time in the system (W? (Express the waiting time in hours, round your answer to 3 decimal places.) Expected waiting time d. What is the expected number of customers in the queue(Lq)? (Round your answer to 3 decimal places.) Mc Graw Hill Prev 1 of 5 Next >During the recent pandemic, the seaport in Savannah Georgia, the third busiest in the United States, averaged loading or unloading 6.7 cargo ships per week. The average time to unload a ship is 1.90 days. Multiple cranes to load and unload the ship operate five days a week. Do not round intermediate calculations. 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) 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) If demand remains at 6.7 cargo ships per week and through better scheduling, training, and crane operations, the average time to unload a ship lowers to 1.10 days, how many ships are waiting? Round your answer up to the nearest whole number. ___ ship(s)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?
- Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed, with a mean of two hours per call. Requests for copier repairs come in at a mean rate of three per eight-hour day (assume Poisson). Determine the following: a. The average number of customers awaiting repairs. (Round your answer to 2 decimal places.) b. System utilization. Percentage c. The amount of time during an eight-hour day that the repairman is not out on a call. d. The probability of two or more customers in the system. (Do not round intermediate calculations. Round your answer to 4 decimal places.) ( please give deeply eplaination with stepwise answer)An 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 ASUSWorkers arrive at a tool crib at a rate of 30 per hour. Clerks who are employed to hand out the tools, can each serve 9 customers per hour & they earn $12 per hour, while workers make $30 per hour. What is the optimal number of clerks & what are the associated costs?