MindTap Business Statistics for Ragsdale's Spreadsheet Modeling & Decision Analysis, 8th Edition, [Instant Access], 2 terms (12 months)
8th Edition
ISBN: 9781337274876
Author: Cliff Ragsdale
Publisher: Cengage Learning US
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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.
The prudential bank manager wants to improve its quality of service by reducing customer waiting times. To that end, a team of experts is needed to design what could be the best queuing strategy in order to have the minimum waiting time. Assuming your part of the team, what's the best queuing strategy to reduce the client's waiting time?
Granos, Inc. purchased new automated coffee vending machines, the Preso 2000. This Preso
2000 requires a constant 45 seconds to produce a coffee. It has been estimated that customers
will arrive at the vending machine according to a Poisson distribution at an average of one every
50 seconds. To help determine the amount of space needed for the line in front of the vending
machine, Granos, Inc. would like to know the expected average time in the system, the average
line length (in costumers), and the average number of costumers in the system (both in line and
at the vending machine).
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- . 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…arrow_forwardAnalyze the following queueing management sysytem 1- traffic intensity of 0.3 in queueing system 2- The average time spends in the system =0.036 3-The average number of the customer in the system 0.43arrow_forwardConsider a base case where a customer arrives every 40 seconds and the Customer Service Champion can handle 120 customers per hour. There are two Food Champions, each capable of handling 100 orders per hour How long should it take to be served by the restaurant (from the time a customer enters the kiosk queue until her food is delivered)? Use queuing models to estimate this.arrow_forward
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