Suppose that you arrive at a service center having two counters which are both busy at the moment but there is no one else waiting in line. You will enter service as soon as either counter becomes free. If the service time at both counters is exponential with rates 0.05 and 0.08 per minute, what is the expected amount of time (in minutes) you will be spending in a counter of the service center? (Note: The required time excludes the time spent waiting in line.) The choices are: a. 15.4 b. 12.5
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- 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? 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)?A new customer walks into SLC Barber Shop every 60 minutes on average, with a standard deviation of the inter arrival times being 60 minutes. At SLC Barber Shop, the average service time is 30 minutes, with astandard deviation of service times being 45 minutes. What is the average amount of time a customer spends in the process (in minutes) including the waiting time and the service time?A supermarket has more than one server servicing at counters. The customer arrives in a Poisson fashion at the rate of 10 per hour. The service time for each customer is expected with a mean of 4 minutes. Find the probability of a customer has to wait for the service, average queue length, the average time spent by a customer in the queue.
- A new customer walks into SLC Barber Shop every 60 minutes on average, with a standard deviation of the interarrival times being 60 minutes. At SLC Barber Shop, the average service time is 30 minutes, with a standard deviation of service times being 45 minutes. What is the average number of customers in the barber shop including those that are waiting in line and those receiving service? What is the average number of customers in service?If the restaurant runs a sale and the customer arrival rate increases by 20 percent how would this change the total time expected to serve a customer? How would this change the average number of cars in the drive-thru line?Buses arrive at the downtown bus stop and leave for themall stop. Past experience indicates that 20% of the time,the interval between buses is 20 minutes; 40% of the time,the interval is 40 minutes; and 40% of the time, the intervalis 2 hours. If I have just arrived at the downtown bus stop,how long, on the average, should I expect to wait for a bus?
- In the ticket counter, customer arrivers in the queue according to Poisson process with 15/hour mean rate. The total time taken to serve a customer has an exponential distribution with 150 seconds of mean. What is the average waiting time of a customer (both in Queue and System)? ✓ Queue - 225 Sec, System - 125 Sec Queue - 125 Sec, System - 225 Sec Queue - 250 Sec, System - 325 Sec Queue - 250 Sec, System - 400 Sec* 08 HI FL R %S4 LLI %#3 50 For the first two hours of the day, the arrival rate at the donut shop is 10 customers per hour. The donut shop is capable of serving 8 customers per hour. Assume that the system is empty at the start and that no customer who arrives leaves without being served. (Round your answer to 2 decimal places.) What is the average wait time for customers during this time period (in hours)? unoy nces Mc Graw Wellington Paranormal Stars and Pahkitew Island RESTAURANT Restaurant: Scissor Seven My 600-lb Life The Afterparty Pam & Tommy As We See It 8,425 MAR étv A 644 DD F7 F12 F8 F10 F3 F 4 F5 93 %23 5 delet 9 7. 2. } P. 1 B. W N alt 38 command MOSISO commandConsider a bank with two tellers. An average of 2 customers per hour arrive at the bank and wait in a single línea for an idle teller. The average time it takes to serve a customer is triangular (x1=1, y1=0), (x2=4, y2=2/3) Assume that inter-arrival times and services time is exponential. Develop the service (ST) equation? a. Y=2x-22/6B. Y=2x-22/3C. Y=22/3x-2/3D. Y=2x-3/22
- A typical TSA agent at Piedmont Triad International Airport takes approximately 1.15 minutes to screeneach passenger that arrives at the security gate. During the day, a passenger arrives at the gate onaverage every 1.3 minutes. Both the service rate and arrival rate follow a Poisson distribution. Based onthis information and the assumption that only one screening line is open at the security gate, answer thefollowing questions. Round calculations to at least 3 decimal places.Note: Round each calculation to at least 3 decimal places. a) What is the average number of passengers waiting in line to be screened? b) What is the average amount of time (in minutes) passengers spend waiting in line? c) What is the average amount of time (in minutes) passengers spend in the screening system? d) What is percent of the time does the typical TSA agent spend actively screening passengers? e) Throughout the day, passenger arrival rates vary with the greatest number of passengers arriving about 45…1. A single cashier handles customers that arrive at a bakery. About 34.8 customers come into the bakery per hour. It takes 73 seconds to serve each customer (standard time). 2. What is the utilization of the cashier?What is the probability there are no customers in line or at the cashier? 3. What is the probability there are less than 2 customers waiting? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Granos, Inc. purchased new automated coffee vending machines, the Preso 2000. This Preso 2000 requires a constant 45 seconds to produce a coffee. It has been estimated that customers will arrive at the vending machine according to a Poisson distribution at an average of one every 50 seconds. To help determine the amount of space needed for the line in front of the vending machine, Granos, Inc. would like to know the expected average time in the system, the average line length (in costumers), and the average number of costumers in the system (both in line and at the vending machine).