Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 12 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.) ?=?=Lq=L=Wq= hW= hPw= (b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? (Round your answer to one decimal place.) Wq (in minutes) = min, which is than the desired wait time, so the goal met. What action do you recommend? (Select all that apply.) Decrease the mean service rate.Increase the mean service rate.Increase the hours of operation.There is no need to change the current operating parameters.Hire another consultant. (c) If the consultant can reduce the average time spent per customer to 9 minutes, what is the mean service rate? (Round your answers to four decimal places. Report time in hours.) ?=Lq=Wq= h Will the service goal be met? (Round your answer to one decimal place.) Wq (in minutes) = min, which is than the desired wait time, so the goal met.

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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Question

Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 12 minutes with each customer.

(a)

Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.)

?=?=L_q=L=W_q= hW= hP_w=

(b)

Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? (Round your answer to one decimal place.)

W_q (in minutes) = min, which is than the desired wait time, so the goal met.

What action do you recommend? (Select all that apply.)

Decrease the mean service rate.Increase the mean service rate.Increase the hours of operation.There is no need to change the current operating parameters.Hire another consultant.

(c)

If the consultant can reduce the average time spent per customer to 9 minutes, what is the mean service rate? (Round your answers to four decimal places. Report time in hours.)

?=L_q=W_q= h

Will the service goal be met? (Round your answer to one decimal place.)

W_q (in minutes) = min, which is than the desired wait time, so the goal met.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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