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5 CSM 394 Assignment 3. X + o file:///C:/Users/ASAASE/Downloads/Documents/CSM%20394%20Assignment%203.pdf 2 of 2 Q Fit to page IL Page view AV Read aloud Add notes C 1. A bank has two tellers working on the savings accounts. The first teller only handles withdrawals. The second teller only handles deposits. It has been found that the service time distribution for the deposits and withdrawals, both are exponential with mean service time 3 minutes per customer. Depositors are found to arrive in a Poisson fashion throughout the day with a mean arrival rate of 16 per hour. Withdrawers also arrive in a Poisson fashion with a mean arrival rate of 14 per hour. a. What would be the effect on the average waiting time for depositors and withdrawers if each teller could handle both the withdrawals and deposits? b. What would be the effect if this could only be accomplished by increasing the service time to 3.5 minutes? 2. In a factory cafeteria the customers (employees) have to pass through three counters. The customers buy coupons at the first counter, select and collect the snacks at the second counter and collect tea at the third. The server at each counter takes, on average, 1.5 minutes, although the distribution of service time is approximately Poisson at an average rate of 6 per hour. Calculate : a. the average time a customer spends waiting in the cafeteria. b. the average time of getting the service. 3. Frank's Fine Floats is in the business of building elaborate parade floats. Frank and his crew have a new float to build and want to use PERT/CPM to help them manage the project. The table below shows the activities that comprise the project. Each activity's estimated completion time (in days) and immediate predecessors are listed as well. Frank wants to know the total time to complete the project, which activities are critical, the earliest and latest start and finish dates for each activity Immediate Predecessors Completion Time (days) 3 2 Activity A B C D E F G H Description Initial Paperwork Build Body Build Frame Finish Body Finish Frame Final Paperwork Mount Body to Frame Install Skirt on Frame 3 A A B B,C DE 7 3 6 2 Activate Windows Go to Settings to activate Windows A bank has two tellers working on the savings accounts. The first teller only handles withdra.... second teller only handles deposits. It has been found that the service time distribution for the deposits and withdrawals, both are exponential with mean service time 3 minutes per customer. Depositors are found to arrive in a Poisson fashion throughout the day with a mean arrival rate of 16 per hour. Withdrawers also arrive in a Poisson fashion with a mean arrival rate of 14 per hour. a. What would be the effect on the average waiting time for depositors and withdrawers if each teller could handle both the withdrawals and deposits? b. What would be the effect if this could only be accomplished by increasing the service time to 3.5 minutes? In a factory cafeteria the customers (employees) have to pass through three counters. The customers buy coupons at the first counter, select and collect the snacks at the second counter and collect tea at the third. The server at each counter takes, on average, 1.5 minutes, although the distribution of service time is approximately Poisson at an average rate of 6 per hour. Calculate : a. the average time a customer spends waiting in the cafeteria. b. the average time of getting the service. Frank's Fine Floats is in the business of building elaborate parade floats. Frank and his crew have a new float to build and want to use PERT/CPM to help them manage the project. The table below shows the activities that comprise the project. Each activity's estimated completion time (in days) and immediate predecessors are listed as well. Frank wants to know the total time to complete the project, which activities are critical, the earliest and latest start and finish dates for each activity Immediate Predecessors Activity A B D E F G H Description Initial Paperwork Build Body Build Frame Finish Body Finish Frame Final Paperwork Mount Body to Frame Install Skirt on Frame A A B B,C DE Completion Time (days) 3 3 2 3 7 3 6 2 5 CSM 394 Assignment 3. X + o file:///C:/Users/ASAASE/Downloads/Documents/CSM%20394%20Assignment%203.pdf 2 of 2 Q Fit to page IL Page view AV Read aloud Add notes C 1. A bank has two tellers working on the savings accounts. The first teller only handles withdrawals. The second teller only handles deposits. It has been found that the service time distribution for the deposits and withdrawals, both are exponential with mean service time 3 minutes per customer. Depositors are found to arrive in a Poisson fashion throughout the day with a mean arrival rate of 16 per hour. Withdrawers also arrive in a Poisson fashion with a mean arrival rate of 14 per hour. a. What would be the effect on the average waiting time for depositors and withdrawers if each teller could handle both the withdrawals and deposits? b. What would be the effect if this could only be accomplished by increasing the service time to 3.5 minutes? 2. In a factory cafeteria the customers (employees) have to pass through three counters. The customers buy coupons at the first counter, select and collect the snacks at the second counter and collect tea at the third. The server at each counter takes, on average, 1.5 minutes, although the distribution of service time is approximately Poisson at an average rate of 6 per hour. Calculate : a. the average time a customer spends waiting in the cafeteria. b. the average time of getting the service. 3. Frank's Fine Floats is in the business of building elaborate parade floats. Frank and his crew have a new float to build and want to use PERT/CPM to help them manage the project. The table below shows the activities that comprise the project. Each activity's estimated completion time (in days) and immediate predecessors are listed as well. Frank wants to know the total time to complete the project, which activities are critical, the earliest and latest start and finish dates for each activity Immediate Predecessors Completion Time (days) 3 2 Activity A B C D E F G H Description Initial Paperwork Build Body Build Frame Finish Body Finish Frame Final Paperwork Mount Body to Frame Install Skirt on Frame 3 A A B B,C DE 7 3 6 2 Activate Windows Go to Settings to activate Windows A bank has two tellers working on the savings accounts. The first teller only handles withdra.... second teller only handles deposits. It has been found that the service time distribution for the deposits and withdrawals, both are exponential with mean service time 3 minutes per customer. Depositors are found to arrive in a Poisson fashion throughout the day with a mean arrival rate of 16 per hour. Withdrawers also arrive in a Poisson fashion with a mean arrival rate of 14 per hour. a. What would be the effect on the average waiting time for depositors and withdrawers if each teller could handle both the withdrawals and deposits? b. What would be the effect if this could only be accomplished by increasing the service time to 3.5 minutes? In a factory cafeteria the customers (employees) have to pass through three counters. The customers buy coupons at the first counter, select and collect the snacks at the second counter and collect tea at the third. The server at each counter takes, on average, 1.5 minutes, although the distribution of service time is approximately Poisson at an average rate of 6 per hour. Calculate : a. the average time a customer spends waiting in the cafeteria. b. the average time of getting the service. Frank's Fine Floats is in the business of building elaborate parade floats. Frank and his crew have a new float to build and want to use PERT/CPM to help them manage the project. The table below shows the activities that comprise the project. Each activity's estimated completion time (in days) and immediate predecessors are listed as well. Frank wants to know the total time to complete the project, which activities are critical, the earliest and latest start and finish dates for each activity Immediate Predecessors Activity A B D E F G H Description Initial Paperwork Build Body Build Frame Finish Body Finish Frame Final Paperwork Mount Body to Frame Install Skirt on Frame A A B B,C DE Completion Time (days) 3 3 2 3 7 3 6 2

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