2) A call center manager is willing to analyze the workload of his clerks that answers to incoming calls. Heanalyzes the empirical data using goodness of fit test and finds that the incoming calls per day, per clerkfollows Poisson distribution with parameter å = 35.6. In order to motivate his employee, he designs thefollowing bonus system: any employee who answers more than 22 calls per day receives $1.2 extrapayment on top of the regular daily salary, which is equal to $45.a. What is the expected amount of total payment received by a call center clerk?b. If the call center has 2 employees, and it receives a revenue of $3.6 for each call, calculate theexpected monthly profit of the call center.

For a queuing system to be balanced, the service rate should be greater than the arrival rate.

Answered: 2) A call center manager is willing to…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section: Chapter Questions

Problem 41P: At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 =...

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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.
Suppose that the city government is considering a law that requires everyone to have at least three people per vehicle while driving during rush hour. In debating the plan, the mayor says the law will generate benefits in terms of cleaner air and less traffic congestion. The mayor acknowledges that there might also be costs involved with the law, but states that these might actually be negative because car owners will experience less wear-and-tear on their automobiles, and hence spend less money on repairs. Comment on the mayor's reasoning. How would you determine if the proposed requirement on carpooling is a good idea?
The 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?
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
What does the intercept mean in equation below ? X: C18 (total employees hours worked per week) versus Y: C19 (clinic patients seen per week). Equation: y=0.49x+0.84 Slope:0.49 Intercept:0.84 Does the intercept mean it is 0.84 and predicts how many patients seen if zero hours were workeed. In this case it has no meaning , it is only a line fitting?
A manager is simulating the number of times a machine operator stops a machine to make adjustments. After careful study the manager found that the number of stops ranged from one to five per cycle and that each number of stops was equally likely. Using the random numbers 0.72 and 0.27 (in that order), determine how many stops for adjustments each of the next two cycles will have. The first cycle will have stops and the second cycle will have stops.
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.
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 23, 5, 14, and 20 for the four respective days. The second method predicts 20, 13, 14, and 20 for the four respective days. The actual numbers of callers turn out to be 23, 10, 15, and 19. Which method has the smaller mean absolute error (MAE)? Multiple Choice The first method The second method Cannot be determined Both methods have the same MAE
4 A manager is simulating the number of times a machine operator stops a machine to make adjustments. After careful study the manager found that the number of stops ranged from one to five per cycle and that each number of stops was equally likely. Using the random numbers 0.11 and 0.50 (in that order), determine how many stops for adjustments each of the next two cycles will have. The first cycle will have stops and the second cycle will have stops. Mc Graw Hill < Prev 4 of 5 ASUS
Kathleen McFadden's restaurant in Boston has recorded the following data for eight recent customers: a) McFadden wants you to graph the eight points (x;, y1), i = I, J 2, ... 8. She has been concerned because customers have been waiting too long for their food, and this graph is intended to help her find possible causes of the problem.b) This is an example of what type of graph?
. 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…
Provide instead: 3 Positive and 3 negative outcomes for forecasting 3 Positive and 3 negative outcomes for queuing model

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