4.18.Consider a single-server model with Poisson input and an average customerarrival rate of 30/h. Currently, service is provided by a mechanism thattakes exactly 1.5 min. Suppose that the system can be served instead by amechanism that has an exponential service-time distribution. What must bethe mean service time for this mechanism to ensure (a) the same averagetime a customer spends in the system or (b) the same average number ofcustomers in the system?

Given Information: λ=30/hμ=1.5min

Answered: 4.18. Consider a single-server model…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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#3) A systems specialist has studied the workflow of clerks all doing the same inventory work. Based on this study, she designed a new workflow layout for the inventory system. To compare the average production for the old and new methods, a random sample of 6 clerks was used. The average production rate (number of inventory items processed) for each clerk was measures both before and after the new system was introduced. The results are shown below. Test the claim that the new system speeds up the work rate (use a = 0.05) Clerk B: Old method A: New Method 4 85 3 97 2 110 100 117 101 118 112 115 83 125 109
2. Table below records the quarterly refrigerator sales for the period 2012-2014. Number of 1 2 3 4 purchases 2012 46 41 60 63 2013 56 52 66 72 2014 58 56 75 76 a) Find the trend equation using the least squares method. b) Forecast the sales for the 1" quarter of 2015.
7. Predicting Atlanta Commute TimeThe data in CommuteAtlanta show information on both the commute distance (in miles) and time (in minutes) for a sample of 500 Atlanta commuters. Suppose that we want to build a model for predicting the commute time based on the distance. Distance Time 10 15 45 60 12 45 4 10 15 30 33 60 15 45 4 10 25 25 1 15 22 45 50 50 10 15 30 30 10 30 12 20 2 5 25 45 7 20 8 20 10 20 30 40 23 30 20 40 7 25 3 8 5 15 6 20 45 45 35 35 25 40 15 20 17 20 50 50 10 10 30 45 10 10 20 20 5 5 4 7 21 40 12 30 5 10 32 32 10 40 12 20 35 45 31 70 3 10 22 45 20 30 30 30 20 30 50 50 7 7 8 20 11 30 25 60 15 27 1 1 10 13 25 35 15 15 10 30 24 25 10 20 2 10 5 15 32 32 10 10 12 20 18 20 7 15 30 35 30 30 2 28 3 6 3 15 0 5 20 30 23 35 50 60 20 30 25 50 3 5 10 10 20 30 16 35 1 3 20 25 25 30 20 45 101 180…
15. Fit a straight line trend by the method of least squares. Year: 1987 1988 1989 1990 1991 1992 1993 1994 1995 Death: 175 190 185 195 180 200 185 190 205 Estimate the number of death for year 2002. CS Scanned with CamScanner
What is the ratio of the total jobs at risk in Transportation and Storage to those at riks in Retail? A) 4.68:7.79 B) 7.79:4.68 C) 52:41 D) 9:19 E) 30:27
12) The data are the maximum daily temperatures at Cox-Dayton International Airport for June and July 2018. maximum daily temperatures at Cox-Dayton International Airport for June and July 2018. Date Max (°F) Jun 1 80 Jun 2 82 Jun 3 81 Jun 4 75 Jun 5 76 Jun 6 71 Jun 7 82 Jun 8 85 Jun 9 86 Jun 10 77 Jun 11 75 Jun 12 78 Jun 13 85 Jun 14 82 Jun 15 86 Jun 16 90 Jun 17 92 Jun 18 92 Jun 19 89 Jun 20 85 Jun 21 72 Jun 22 81 Jun 23 79 Jun 24 85 Jun 25 79 Jun 26 79 Jun 27 81 Jun 28 85 Jun 29 89 Jun 30 92 Jul 1 93 Jul 2…
A disk drive has a constant failure rate and an MTTF of 5000 hr. (a) What will the probability of failure be for one year of operation? (b) What will the probability of failure be for one year of operation if two of the drives are placed in active parallel and the failures are independent? (d) What will the probability of failure be for one year of operation if the system si changed to standby model. (e) Describe the effect on the MTTF with a switching failure probability of 0.05. () What would be change in MTTF if the probability of failure of standby unit is 10 percent of the failure of the primary unit in the standby mode?
Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or normal). The results were as follows: Duration of Exposure <1 1 to <5 ≥5 Diseased 14 13 18 Sensitized 11 20 15 Normal 78 140 209 Test the hypothesis of independence. Use the a=0.10 level of significance and the P-value method with the TI-84 Plus calculator. What do you conclude? State the null and alternate hypotheses.
(2) Based on the graph, describe the pattern of customer visits in store A and store B, respectively (4) If you are a manager from the company headquarters, how would you allocate the personnel resources to store A and store B, respectively
A shoe wholesaler wants to optimize its shipment of shoes to its client retailers. To minimize their turnover time and avoid building up stocks that add costs, the wholesaler wants to know if weather conditions are important in determining the type of shoe demanded. Specifically, she / he would like to know if high temperatures affect the sale of closed, rubber-heeled walking shoes. He / she has the relevant data showing the temperature recorded at the location of its retail shops, as well as their record of sales of these walking shoes, during each day of the past year. What type of analysis should he / she conduct? What variables should be considered? Explain.

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