obs arrive at Loaf Machine Shop. Assume the arrival rate is five jobs per hour. Service times (in minutes per job) do not follow the exponential probability distribution. Two proposed designs for Loaf Machine Shop operation are shown. Design Mean Standard Deviation A 6.0 3.0 B 6.25 0.6 What are the standard deviations of the service times in hours? Which design provides the best operating characteristics? Why?
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obs arrive at Loaf Machine Shop. Assume the arrival rate is five jobs per hour. Service times (in minutes per job) do not follow the exponential probability distribution. Two proposed designs for Loaf Machine Shop operation are shown.
Design | Mean | Standard Deviation |
---|---|---|
A | 6.0 | 3.0 |
B | 6.25 | 0.6 |
- What are the standard deviations of the service times in hours?
- Which design provides the best operating characteristics? Why?
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- The BPD has three tellers to provide service. Each teller, on average, serves one customer in three minutes per customer, the latter arriving 50 every hour. Due to complaints received, an evaluation of the system has been requested:(a) Give the average utilization of the service system with the three tellers.b) What is the probability of arriving at the bank with no one there?c) What is the average number of customers waiting in line?d) On average how long does a customer wait in line to be served?e) On average how many customers would be served at a teller and waiting in line?Q2. Customers visit an astrologer at a rate of 4/hour (Poisson) and take and average of 12 minutes (Exponential). Compute the probability that: a) There are three or less people in the system b) There are 5 or more people in the system c) The astrologer is freeProblem 15-31 (Algorithmic) Mid-West Publishing Company publishes college textbooks. The company operates an 800 telephone number whereby potential adopters can ask questions about forthcoming texts, request examination copies of texts, and place orders. Currently, two extension lines are used, with two representatives handling the telephone inquiries. Calls occurring when both extension lines are being used receive a busy signal; no waiting is allowed. Each representative can accommodate an average of 10 calls per hour. The arrival rate is 16 calls per hour.
- Customers' level of satisfaction with a service derives from the perceived value of the service at the point in time of access. Therefore customer satisfaction is not directly related to Select one: a. the timeliness of the service b. their perception of the service performance c. their expectations regarding service d. the qualification of the service staff Which of the following situations will tend to increase customer dissatisfaction with waiting in line the most? Select one: a. The physical location of an operation b. Bright lights in the banking hall c. Large numbers of customers d. Idle workers in the view of customers оо O O O O O OConsider an M/M/1/4 queuing system with arrival rate A=24 per hour and service rate p=12 per hour. The probability that the system is full is closest to a. None of these b. 0.03 c. 0.97 d. 0.52Martin Weir is studying a waiting line for a 9 server system at Market Fresh Foods. The company wants to be sure that its customers enjoy a quality service experience. Martin has studied operations for the past 2 weeks and has determined that on average, a customer arrives every 0.0061 Minute(s) and the average service is completed in 0.0282 Minute(s). Answer the following:. Offered workload rate =
- In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round all answers to three decimals.) What is the utilization? What is the expected number of customers in the system (L)? What is the expected waiting time (in hours) for the system (W)? What is the expected number of customers in the queue (Lq)?In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round all answers to three decimals.) What is the utilization? What is the expected number of customers in the system (L)? What is the expected waiting time (in hours) for the system (W)? What is the expected number of customers in the queue (Lq)? What is the expected waiting time (in hours) in the queue (Wq)?Define a possible service guarantee for each of the following services:a. College classesb. A theater performancec. Buying a used car
- A crew of mechanics at the Department of Transportation garage make minor repairs to snowplows during the winter. The snowplows break down at an average rate of 5 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic can service an average of 8 vehicles per day with a repair time distribution that approximates a negative exponential distribution. Assume an 8 hour day. What are the chances that 3 vehicles are in the service system? Group of answer choices 9% 38% 63% 19%The common measures of a queuing system's performance include: O probability that the service facility will be idle, average queue length, and probability that the waiting time will exceed a specified duration. average time each customer spends in the system, probability that the service system will be idle, and average time each customer spends in the queue. average queue length, maximum time a customer may spend in the queue, and the utilization factor for the system. average time each customer spends in the system, maximum queue length, and probability of a specific number of customers in the system. maximum queue length, maximum time a customer may spend in the queue, and average queue length.Using the Queuing Theory principles, a) List Lq, and Wq for all of the stations in a table b) Determine the performance measure (L,W) of the system. 0.25 S2 S4 0.6 Hz=15 H4=13 2=15 S1 S5 H=20 0.9 Hs=15 S3 H3=8
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