Subject: accounting The following information pertains to telephone calls to a motel on a typical Tuesday. Use Table 18.4.PeriodMorningAfternoonEveningService RateIncoming Rate (calls (calls per minute perper minute)operator)Click here for the Excel Data FilePeriodMorningAfternoonEvening2.12.31.6WaPw1.51.0.5a. Determine the average time callers wait to have their calls answered for each period and theprobability that a caller will have to wait for each period. (Round intermediate calculations and finalanswers to 3 decimal places.)0.5760.5940.597Number ofOperators234

Period Arrival rate (λ) Service rate μ No. of operators Morning 2.1 1.5 2 Afternoon 2.3 1 3…

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Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 27P

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Please do not give solution in image format thanku A regional cellphone sales manager is deciding how many people to hire for a sales office. Data shows sales associates take 20 minutes per customer. The service time follows an exponential distribution. The arrival rate is expected to be 6 people per hour and will follow a Poisson distribution. This particular branch is scheduled to have 4 sales associates. What is the average time people will wait in line in minutes before being seen by a sales associate? Calculate your answer to three decimal places.
Which of the following statements about Prof. Eric Bradlow's talk on "clumpiness" is correct? A: Customers who come in bursts then go away again and again are not profitable. B: Clumpiness is a new metric which replaces for one of RFM metrics. C: Traditional RFM metrics are enough to describe arrival patterns of people. D: Looking at recency, frequency, and monetary value in historical customer data basically ignores the inter-arrival times.
What do we mean by the term queue discipline?o Queue discipline refers to how people should behave in a queue.o Queue discipline refers to the study of queues and waiting lines.o Queue discipline refers to policies for deciding the order of receiving service byarrivals.o Queue discipline refers to removing customers from a queue when they misbehave.
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Choose the best Option, Short explanation of one-two sentences needed. On average, a service facility experiences 10 customers arriving per hour and a single server can serve 15 customers per hour. Arrival rates and service rates both follow a Poisson distribution. Waiting lines form at this facility because there is not enough average service capacity. No waiting lines form at this facility because the average arrival rate is less than the average service rate. No waiting lines form at this facility because the utilization is less than 1. Waiting lines form at this facility because of variability in interarrival times and service times. What can you say about the relationship between W and Wq in a stable queuing system with ? W is always greater than Wq W is always less than Wq W is always equal to Wq It depends on the type of queuing system If emails arrive to my mailbox according to a Poisson process at a rate of 10 per hour and the time it takes me to “deal with” an email…
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The Riverton Police Department has eight patrol cars thatare on constant call 24 hours per day. A patrol car requiresrepairs every 30 days, on average, according to an exponential distribution. When a patrol car is in need of repair it isdriven into the motor pool, which has a repairperson onduty at all times. The average time required to repair a patrol car is 12 hours (exponentially distributed). Determinethe average time a patrol car is not available for use and theaverage number of patrol cars out of service at any onetime, and indicate if the repair service seems adequate
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Students arrive one at a time, completely at random, to an advice clinic at a rate of10 per hour. Students take on average 5 minutes of advice but there is wide variation inthe time they need; this variation may be well modeled by the exponential distribution.c. Now suppose that a second advisor is hired. Repeat your answer for a. What are theadvisors’ utilizations? Would you recommend this second advisor is hired?
In queueing theory, λ represents the mean arrival rate; for example, the number of peoplearriving at the service counter per hour. What does 1/λ represent?o Service rateo Interarrival timeo Service time None
The manager of a bank wants to use an MyMys queueingmodel to weigh the costs of extra tellers against the costof having customers wait in line. The arrival rate is 60customers per hour, and the average service time is fourminutes. The cost of each teller is easy to gauge at the$11.50 per hour wage rate. However, because estimatingthe cost per minute of waiting time is difficult, the bankmanager decides to hire the minimum number of tellersso that a typical customer has probability 0.05 of waitingmore than five minutes in line.a. How many tellers will the manager use, given thiscriterion?b. By deciding on this many tellers as “optimal,” themanager is implicitly using some value (or some range of values) for the cost per minute of wait-ing time. That is, a certain cost (or cost range) would lead to the same number of tellers as sug-gested in part a. What is this implied cost (or cost range)?
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