1) A worker travels between her home and work. She has multiple routes that can be taken. Her first route (route A) typically takes 60 minutes, and the second route (route B) typically takes 45 minutes. If there is traffic on route A, then the route will take 70 minutes. If there is traffic on route B, then this increases to 90 minutes. Route A has a traffic delay probability of .20 and route B probability is .30. a. What is the recommended route utilizing the expected value approach? b. If utilities are to be assigned to the travel times, what is the appropriate lottery? C. Use the lotter of part b and assume the decision maker expresses indifference probabilities of: P = 0.80 for 60 minutes P = 0.60 for 70 minutes %3D What route should the decision maker select? Is the decision maker a risk taker or a risk avoider?
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- Suppose a bank has three tellers that are each busy 80 percent of the time. Estimatethe probability of delay for a randomly arriving customer.Consider the problem of assigning multiple jdentical machines to an individual operator for the following situations: the loading and unloading time is 5 minutes, the independent operator activity time is 2 minutes, the independent machine activity time is 15 minutes. (a) How many machines should be assigned so that the operator will not be idle? What is the machine idle time in this case? (b) How many machines should be assigned so that machines will not be idle? What is the operator idle time in this case?In a serial system with two servers in sequence, suppose that the interarrival time follows exponential distribution with a mean of 3 minutes. The service time of the first server has a mean of 1 minute with a standard deviation of 2 minutes. The service time of the second server has a mean of 2 minutes with a standard deviation of 1 minute. What is the total cycle time of the serial system?
- Consider two arrival processes. The coefficient of variation of process 1 is CV1, and the coefficient of variation of process 2 is CV2. It is possible that CV1=CV2 even though the average interarrival time is larger in process 1 compared to process 2. T or false ?Please build and simulate the following model in ARENA.In this model, car loan applications arrive at processing center approximately every 5 minutes. At this point, 1 of 5 loan officers will review the application to ensure that it is complete. This review step usually takes 15 minutes, but can be as short as 12 minutes or as long as 18 minutes. Applications are sent to an automatic processing machine where they are processed. This process can take from 0.5 to 1.5 hours to complete, but usually requires 1 hour. It is assumed that the automatic processor can process as many applications as needed.After processing, the results are reviewed by a loan officer who will write either an acceptance or rejection document. This task usually takes 7 minutes, but can require anywhere from 5 to 10 minutes to complete.At this point the loan application process is complete, and the acceptance or rejection document is sent to the customer.Run this simulation for one 8-hour day (5 replications).A shipping company operates 10 container ships that can each carry 5000 containers oneach journey between ports. They want to be able to load and unload 20,000 containerseach week. Assume their ships always travel fully loaded. What is the longest averagetravel time between ports that allows them to meet their goal of 20,000 containers perweek?
- During the campus Spring Fling, the bumper car amusement attraction has a problem of cars becoming disabled and in need of repair. Repair personnel can be hired at the rate of $20 per hour, but they only work as one team. Thus, if one person is hired, he or she works alone; two or three people work together on the same repair. One repairer can fix cars in an average time of 30 minutes. Two repairers take 20 minutes, and three take 15 minutes. While these cars are down, lost income is $40 per hour. Cars tend to break down at the rate of two per hour. Management is trying to decide how many repair persons to hire, and has asked you for cost data. What is the total hourly cost with one repair person? multiple choice $60 $∞ $140 What is the total hourly cost with two repair persons? Note: Round your answer to the nearest dollar amount. What is the total hourly cost with three repair persons? Note: Round your answer to the nearest dollar amount. How many repairers…South Beach University is conducting an online exam. There are 1,200 students taking this exam. Students are required to download the exam questions from the university’s learning management system (LMS), solve the questions, type their workings and answers in a computer word processing application, and submit the files back to the LMS. It is estimated that the LMS takes an average of 30 seconds to process a submission. For example, if a student submits his files at time T and the LMS is able to start processing his submitted files right away, it is estimated that the LMS accepts the submission at T + 30 seconds. The cut-off time of the exam is 12pm on the exam day, that is, if a submission cannot be accepted by the LMS by 12pm, it is considered late submission. Due to the capacity of the LMS servers, a maximum of 150 submissions can be processed at any point of time. Submissions are processed on a first-come-first-serve basis. If the number of submissions exceeds the capacity, some…South Beach University is conducting an online exam. There are 1,200 students taking this exam. Students are required to download the exam questions from the university’s learning management system (LMS), solve the questions, type their workings and answers in a computer word processing application, and submit the files back to the LMS. It is estimated that the LMS takes an average of 30 seconds to process a submission. For example, if a student submits his files at time T and the LMS is able to start processing his submitted files right away, it is estimated that the LMS accepts the submission at T + 30 seconds. The cut-off time of the exam is 12pm on the exam day, that is, if a submission cannot be accepted by the LMS by 12pm, it is considered late submission.Due to the capacity of the LMS servers, a maximum of 150 submissions can be processed at any point of time. Submissions are processed on a first-come-first-serve basis. If the number of submissions exceeds the capacity, some…
- South Beach University is conducting an online exam. There are 1,200 students taking this exam. Students are required to download the exam questions from the university’s learning management system (LMS), solve the questions, type their workings and answers in a computer word processing application, and submit the files back to the LMS. It is estimated that the LMS takes an average of 30 seconds to process a submission. For example, if a student submits his files at time T and the LMS is able to start processing his submitted files right away, it is estimated that the LMS accepts the submission at T + 30 seconds. The cut-off time of the exam is 12pm on the exam day, that is, if a submission cannot be accepted by the LMS by 12pm, it is considered late submission. Due to the capacity of the LMS servers, a maximum of 150 submissions can be processed at any point of time. Submissions are processed on a first-come-first-serve basis. If the number of submissions exceeds the capacity, some…During the campus Spring Fling, the bumper car amusement attraction has a problem of cars becoming disabled and in need of repair. Repair personnel can be hired at the rate of $20 per hour, but they only work as one team. Thus, if one person is hired, he or she works alone; two or three people work together on the same repair. One repairer can fix cars in an average time of 45 minutes. Two repairers take 30 minutes, and three take 20 minutes. While these cars are down, lost income is $40 per hour. Cars tend to break down at the rate of 1.00 per hour. Management is trying to decide how many repair persons to hire, and has asked you for cost data. a. What is the total hourly cost with one repair person? b. What is the total hourly cost with two repair persons? c. What is the total hourly cost with three repair persons?During the campus Spring Fling, the bumper car amusement attraction has a problem of cars becoming disabled and in need of repair. Repair personnel can be hired at the rate of $15 per hour, but they only work as one team. Thus, if one person is hired, he or she works alone; two or three people work together on the same repair. One repairer can fix cars in an average time of 40 minutes. Two repairers take 30 minutes, and three take 20 minutes. While these cars are down, lost income is $30 per hour. Cars tend to break down at the rate of 1.10 per hour. Management is trying to decide how many repair persons to hire, and has asked you for cost data. a. What is the total hourly cost with one repair person? (Round your intermediate calculations and final answer to 2 decimal places.) b. What is the total hourly cost with two repair persons? (Round your intermediate calculations and final answer to 2 decimal places.) c. What is the total hourly cost with three repair persons? (Round your…