The average response time for http requests at a web server is 2.5 seconds. The system idle time was measured to be 12 seconds during a one minute observation interval. Use an M/M/1 model for the system to determine the following (a) system utilization (b) average service time per transaction (c) probability that the number of jobs in the system exceeds 10
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The average response time for http requests at a web server is 2.5 seconds. The system idle time was measured to be 12 seconds during a one minute observation interval. Use an M/M/1 model for the system to determine the following
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(a) system utilization
-
(b) average service time per transaction
-
(c) probability that the number of jobs in the system exceeds 10
-
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- At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.Provide instead: 3 Positive and 3 negative outcomes for forecasting 3 Positive and 3 negative outcomes for queuing modelgiven the following: 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 with the given information: a) average number of passengers waiting in line to be screened is 7 b) average amount of time (in minutes) passengers spend waiting in line is .147 minutes c) average amount of time (in minutes) passengers spend in the screening system?.166 minutes 1. What is percent of the time does the typical TSA agent spend actively screening passengers? 2. Throughout the day, passenger arrival rates vary with the greatest number of passengers arriving about 45 minutes before a flight is expected to depart. If during this…
- 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.Analyze the following queueing management sysytem 1- traffic intensity of 0.3 in queueing system 2- The average time spends in the system =0.036 3-The average number of the customer in the system 0.43The manager of a call center recorded the volume of calls received between 9 and 10 a.m. for 21 days and wants to obtain a seasonal index for each day for that hour. Day Volume Day Volume Day Volume Tues 67 Tues 60 Tues 64 Wed 75 Wed 73 Wed 76 Thurs 82 Thurs 85 Thurs 87Fri 98 Fri 99 Fri 96 Sat 90 Sat 86 Sat 88 Sun 36 Sun 40 Sun 44 Mon 55 Mon 52 Mon 50?
- The owner of an automobile repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following data with waiting times in minutes were collected over a one-month period. 2 5 22 6 5 0-4 5-9 10-14 (a) Develop a frequency distribution using classes of 0-4, 5-9, 10-14, 15-19, and 20-24. Class 15-19 20-24 Total 5 6 7 15 21 0-4 5-9 10-14 15-19 20-24 Class Total 0-4 5-9 10-14 Class 15-19 0-4 20-24 5-9 (b) Develop a relative frequency distribution using the classes in part (a). If required, round your answers to two decimal places. Relative Frequency 11 4 9 6 Class 16 10-14 15-19 12 21 8 20-24 9 10 Frequency 2 % 10 3 2 3 20 .1 .50 (c) Develop a cumulative frequency distribution using the classes in part (a) .15 .1 .15 1 M ✔ ✔ ✔ S (d) Develop a cumulative relative frequency distribution using the classes in part (a). If required, round your answers to two decimal places. 10 ✔ ✓ ✔ ✔ ✔ Cumulative Frequency Cumulative Relative Frequency X X (e) What…12 ed 1.00 An overhead crane of ABC Ltd. moves jobs from one machine to another and must be used every time a machine requires loading or unloading. The demand for service is random. Data taken by recording the elapsed time between service calls followed an exponential distribution having a mean of a call every 24 minutes. In a similar manner, the actual service time of loading or unloading took an average of 8 minutes. What is the average number of units in the system in the steady state? a) 0.6 Select one: O 1. c 02. a O 3. b O 4. d b) 0.9 c) 0.5 d) 0.7Taylor Swiftt works at a call center as an analyst. In her role, she is tasked with data administration and finding patterns in the data generated from all of the customer service interactions that take place. She has been asked to create a visualization of this data so that she can see at what time most service calls come in during the week. What would you recommend that Taylor develop so that her supervisor can see when calls are coming in, live? Choose the best answer from the options available. Group of answer choices A daily report An interactive dashboard A crystal ball A narrative
- Would you expect the Poisson distribution to be a good approximation of a) Runners crossing the finish line in the Boston Marathon? b) Arrival times of the students in your OSCM class?Two methods are used to predict how many customers will call in for help in the next four days. The first method predicts the numbers of callers to be 49, 42, 46, and 50 for the four respective days. The second method predicts 48, 43, 47, and 49 for the four respective days. The actual numbers of callers turn out to be 50, 40, 45, and 48. Which method has the smaller mean absolute error (MAE)? O Both methods have the same MAE The second method. The first method O Cannot be determined. An automobile dealer is planning a new custom service center to repair the microcomputer-based engine controls in new-model cars. With the new diag- nostic equipment they are installing, each job should take about 75 minutes to complete. The dealer plans to operate the center 8 hours per day. Preliminary estimates suggest that about 5 customers will bring their cars for repair each day. To analyze this situation, make the following assumptions: The customer arrivals form a Poisson process. Each job requires on average 75 minutes. We can ignore the time that the service center is closed. (That is, no arrivals occur during such gaps, and we don't count them in the total response time.) (a) Measure time in hours. In the terms of queueing theory, what are A, μ, and p? (b) Compute an estimate of the average total response time (which we call Ts). 2 (c) Estimate the average number of cars in the center (including those waiting as well as in service). (d) Suppose the average number of…