Q.2) Partially completed products arrive at a workstation in a manufacturing operation at a mean rate of 40 per hour (Poisson distributed). The processing time at the workstation averages 1.2 minutes per unit (exponentially distributed). The manufacturing company estimates that each unit of in process inventory at the workstation costs $31 per day (on the average). However, the company can add extra employees and reduce the processing time to 0.90 minute per unit at a cost of $52 per day. Determine whether the company should continue the present operation or add extra employees.
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- Question The new accounts loan officer of the Millennium Commercial Bank interviews all customers for new accounts. The customers desiring to open new accounts arrive at the rate of 4 per hour, according to a Poisson distribution, and the accounts officer spends an average of 12 minutes with each customer, setting up a new account. Required A. Determine the operating characteristics (P0, L, Lq, W, Wq and Pw) for this system. B. Add an additional accounts officer to the system described in this problem so that it is now a multiple-server queuing system with two channels and determine the operating characteristics required in part A.Question The new accounts loan officer of the Millennium Commercial Bank interviews all customers for new accounts. The customers desiring to open new accounts arrive at the rate of 4 per hour, according to a Poisson distribution, and the accounts officer spends an average of 12 minutes with each customer, setting up a new account. Required 1. Determine the operating characteristics (P0, L, Lq, W, Wq and Pw) for this system. 2. Add an additional accounts officer to the system described in this problem so that it is now a multiple-server queuing system with two channels and determine the operating characteristics required in part A.QUESTION 4 Assume that the UCC cafeteria has a single cashier. During peak hours, students arrive at a rate of 20 per hour. The average number of students that can be serviced by the cashier is 24 per hour. Calculate the following: The number of students in the cafeteria Number of students actively in the queue being served Waiting time in the cafeteria Waiting time for students in the queue What is the probability that there will be more than six students in the cafeteria or in the queue?
- Question 34 please help me I can't figure this out! Bobby. another enterprising barber, is thinking about advertising in the local newspaper since he is idle 45 percent of the time.Currently, customers arrive, on average, every 36 minutes. What does the arrival rate need to be for Bobby to be busy 80 percent of the time? Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.What is suitable model for factory in queuing theory?Question #5: If the restaurant runs a sale and the customer arrival rate increases by 20%, 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?
- Q2. In Aegis life insurance company, the deposit and withdrawal functions associated with cer- tain investment product are separated by two clerks, Stack and Slack. Deposit slips arrive at Stack’s desk according to a Poisson process with a mean rate of 16 per hour. Withdrawal slips arrive at Slack’s desk according to a Poisson process with a mean rate of 14 per hour. The time required to process either transaction has an exponential distribution with a mean of 3 minutes. Based on this information, answer the following questions: (a) In the current situation, what model will you apply for analysis of queuing system at Stack’s desk and Slack’s desk? Answer this question by filling the following table. Model λ µ ρ Reaches steady state? Stack's Desk - - - - - Slack's Desk - - - - - (b) What is the expected waiting time of a deposit slip at Stack’s desk? What is the expected waiting time of a withdrawal slip at Slack’s desk? Suppose “the system” contains both Stack and…Question 4) Waiting Line Analysis Students must have their schedule approved by an academic advisor. It takes the advisor an average of 10 minutes to approve a schedule, and students arrive at the advisor’s office at a rate of 4.8 students per hour. The advisor can only work with one student at a time. a) What is the advisor’s service rate? b) How many minutes per hour does the advisor have to handle other tasks (not approving student schedules)?Question 4 Skyline pizza is a famous restaurant operating a number of outlets. The restaurant uses a toll-free telephone number to book pizzas at any of its outlets. If the clerk is occupied on one line, incoming phone callsto the restaurant are answered automatically by an answering machine and asked to wait. As soon as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average of 3minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The clerk is paid $20 per hour, but because of lost goodwill and sales, CWD loses about $50 per hour of customer time spent waiting for the clerk to take an order. Part B Skyline is considering adding a second clerk to take calls. The store would pay that person the same $20 per hour. Using appropriate formula for the multiple channel model, answer the following questions: a. What…
- Question 4 Skyline pizza is a famous restaurant operating a number of outlets. The restaurant uses a toll-free telephone number to book pizzas at any of its outlets. If the clerk is occupied on one line, incoming phone callsto the restaurant are answered automatically by an answering machine and asked to wait. As soon as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average of 3minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The clerk is paid $20 per hour, but because of lost goodwill and sales, CWD loses about $50 per hour of customer time spent waiting for the clerk to take an order. Part A Answer the following questions: a. What is the probability that no customers are in the system (Po)? b. What is the average number of customers waiting for service ( Lq)? c. What is the average number of customers…13. Give an example of a single-phase queuing system.[Queuing Theory - Operations Research] Customers arrive according to the Poisson distribution with mean 20 per hour. Service time is exponential with mean 30 minutes. (a) Determine the minimum number of servers the Salon should have to achieve a steady-state. Explain why. (b) Because of a significant number of customers who balked, the owner wants to determine the number of servers so that the average waiting time before having the service is not more 10 minutes. How many servers should the salon have?