Deck 6: Service Design

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Question
The service sector accounts for over 70 percent of the employment in the United States and Canada.
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Question
Almost all consumer products consist of some combination of facilitating goods and facilitating services.
Question
The mixture of physical items,sensual benefits,and psychological benefits provided to a customer with a service is known as quality function deployment.
Question
Service processes can be classified by the degree of labour intensity and customization.
Question
The trade-off between the cost of improved service and the cost of making customers wait provides the basis of waiting line analysis.
Question
Service design and improvement techniques cannot be applied to societal problems,such as education,health care,and government services.
Question
Waiting lines form because customers arrival times and service times are not always equal.
Question
A service package defines the target market and the desired customer experience.
Question
A single waiting line model can be applied to every type of waiting line system.
Question
The negative exponential distribution is the probability distribution most commonly used to describe service times.
Question
Waiting lines form only when service operations are understaffed.
Question
The calling population is the source of customers used in waiting line analysis.
Question
Service companies are centralized and geographically concentrated.
Question
It is widely accepted that the effective design and the efficient operation of services are paramount to the health of the U.S.and Canadian economies.
Question
The service concept also defines how a service differs from other similar products and how it will compete in the marketplace.
Question
In general,services are acts,deeds,or performances that provide a customer time,place,form,or psychological utility.
Question
The service-process matrix is based on two characteristics: labour intensity and volume.
Question
In general,a service and its delivery system are inseparable.
Question
The mixture of physical items,sensual benefits,and psychological benefits provided to a customer with a service is known as the service package.
Question
When designing a service performance,specifications are converted into design specifications,and finally,delivery specifications.
Question
As the level of service improves in a waiting line system,the cost of service usually increases.
Question
Channels refer to the number of parallel servers in a waiting line system.
Question
The number of arrivals per unit time to a service facility is often described by a Poisson distribution.
Question
A waiting line system is said to have a finite calling population if the size of the population of customers from which arrivals originate is known.
Question
The constant average values of operating characteristics that a system attains after a long time is referred to as a steady state.
Question
Which of the following is not a characteristic of a service?

A)tangible
B)variable output
C)difficult to emulate
D)perishable
Question
A dentist office is an example of a

A)service factory.
B)mass service.
C)service shop.
D)professional services.
Question
In general,as the level of service improves the cost of service increases.
Question
Waiting line analysis should be applied only to situations with an infinite calling population.
Question
Which of the following is not a characteristic of a service?

A)intangible
B)variable output
C)difficult to emulate
D)perishable
Question
If service times are exponentially distributed then service rates are normally distributed.
Question
An airline is an example of a

A)service factory.
B)mass service.
C)service shop.
D)professional services.
Question
In a waiting line system,the ___ reflects the probability that the server is busy and the customer must wait.

A)utilization factor
B)queue discipline
C)average number of customers in the system
D)probability the system is idle
Question
Balking occurs when a customer waiting in a line moves from one line to another because he believes it is moving faster.
Question
The number of parallel servers in waiting line analysis is referred to as the number of phases.
Question
Queue discipline specifies the order in which waiting customers are served.
Question
Service quality in waiting line systems sometimes depends on the psychology of waiting.
Question
Mathematical formulas used in waiting line analysis provide only optimal solutions.
Question
If the average service rate is smaller than the average arrival rate,an infinitely large waiting line (queue)will form.
Question
One of the basic assumptions for the single server model is that the calling population is finite.
Question
The ___ is the source of customers for a waiting line system.

A)calling population
B)arrival rate
C)service line channel
D)service line phase
Question
The ___ refers to the order in which waiting customers are served.

A)calling population
B)queue discipline
C)number of channels
D)service rate
Question
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per minute.The average time in minutes a customer spends in the system (i.e.,waiting and being served)is

A)0.114 minute.
B)0.143 minute.
C)6.84 minutes.
D)8.58 minutes.
Question
Which of the following in not a basic element of a waiting line?

A)arrivals
B)servers
C)cost of waiting
D)waiting line structure
Question
The number of channels in a queuing process

A)denotes the number of servers in sequence a customer must go through.
B)denotes the size of the calling population.
C)denotes the number of parallel servers for servicing arriving customers.
D)denotes the average queue length.
Question
If the average time to serve a customer is 3 minutes,then the service rate,µ,is ___.

A)3 per hour
B)12 per hour
C)16 per hour
D)20 per hour
Question
A teacher is an example of a

A)service factory.
B)mass service.
C)service shop.
D)professional services.
Question
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per hour.The average number of customers waiting in line for service is

A)4.0.
B)3.8.
C)3.5.
D)3.2.
Question
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per hour.The average time in minutes a customer spends waiting in line for service is

A)0.114 minute.
B)0.143 minute.
C)6.84 minutes.
D)8.58 minutes.
Question
If,on average,it takes 90 seconds to serve a customer,then the hourly service rate,µ,is ___.

A)90 per hour
B)40 per hour
C)30 per hour
D)1.5 per hour
Question
Consider an espresso stand with a single barista.Customers arrive at the rate of 20 per hour according to a Poisson distribution.Service times are exponentially distributed with a mean service time of 2 minutes per customer.What is the service rate per hour for the espresso stand?

A)30 customers
B)20 customers
C)15 customers
D)2 customers
Question
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per hour.The probability that the server is idle is

A)0.20.
B)0.60.
C)0.80.
D)1.00.
Question
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per minute.If the arrival rate remains at 28 customers per hour and the stand's manager wants to have the average time a customer spends in the system (i.e.,wait time line and service time)to be a maximum of 6 minutes on average,then the service rate must

A)decrease by 2 to 33 customers per hour.
B)decrease by 3 to 32 customers per hour.
C)increase by 3 to 38 customers per hour.
D)increase by 2 to 37 customers per hour.
Question
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per hour.The average number of customers in the system (i.e.,waiting and being served)is

A)4.0.
B)3.8.
C)3.2.
D)2.0.
Question
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per hour.The probability that there are exactly 3 customers in the system is

A)0.0000.
B)0.1024.
C)0.4096.
D)0.5120.
Question
A grocery store is an example of a

A)service factory.
B)mass service.
C)service shop.
D)professional services.
Question
In general,as the number of servers in a waiting line system increases

A)service cost increases and waiting cost decreases.
B)service cost decreases and waiting cost increases.
C)both service cost and waiting cost increase.
D)both service cost and waiting cost decrease.
Question
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per hour.The probability that there are more than 2 customers in the system is

A)0.128.
B)0.488.
C)0.512.
D)0.640.
Question
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per hour.The probability that the server is busy is

A)0.20.
B)0.60.
C)0.80.
D)1.00.
Question
The number of arrivals per unit of time at a service facility can frequently be described by a

A)normal distribution.
B)Poisson distribution.
C)binomial distribution.
D)beta distribution.
Question
What are the basic elements of a waiting line? Define each.
Question
A small diner has one employee and a counter with seating for 8 customers.The diner does not package food for takeout.Customers arrive at the diner at the rate of 20 per hour (Poisson distributed).Service times are exponentially distributed and average 24 per hour.Customers that arrive when all seats are taken do not enter the diner.What is the probability that the diner is full and an arriving customer does not enter?

A)0.8333
B)0.1667
C)0.2067
D)0.0481
Question
What is queue discipline and queue length?
Question
A small diner has one employee and a counter with seating for 8 customers.The diner does not package food for takeout.Customers arrive at the diner at the rate of 20 per hour (Poisson distributed).Service times are exponentially distributed and average 24 per hour.Customers that arrive when all seats are taken do not enter the diner.What is the average time a customer spends waiting?

A)2.5 minutes
B)3.0 minutes
C)6.44 minutes
D)24 minutes
Question
A service counter employs two servers.On average a server requires 8 minutes to process a customer and service times follow an exponential distribution.Customers arrive at the counter at the rate of 12 per hour according to a Poisson distribution.The service rate per server for this system is

A)3.75 customers per hour.
B)7.5 customers per hour.
C)8 customers per hour.
D)16 customers per hour.
Question
A small diner has one employee and a counter with seating for 8 customers.The diner does not package food for takeout.Customers arrive at the diner at the rate of 20 per hour (Poisson distributed).Service times are exponentially distributed and average 24 per hour.Customers that arrive when all seats are taken do not enter the diner.What is the average number of customers waiting (average queue length)?

A)2.0432
B)2.8364
C)3.9785
D)5.9782
Question
How can psychology be used to improve waiting lines? Provide an example.
Question
A service counter employs two servers.On average a server requires 8 minutes to process a customer and service times follow an exponential distribution.Customers arrive at the counter at the rate of 12 per hour according to a Poisson distribution.The average amount of time,in minutes,spent in the system (i.e.,waiting and being served)is approximately

A)0.237 minutes.
B)14.22 minutes.
C)22.20 minutes.
D)33.30 minutes.
Question
Do waiting lines only form when the service operation is understaffed? Explain.
Question
A service counter employs two servers.On average a server requires 8 minutes to process a customer and service times follow an exponential distribution.Customers arrive at the counter at the rate of 12 per hour according to a Poisson distribution.The average number of customers waiting to be served would be

A)4.444.
B)2.844.
C)1.600.
D)0.893.
Question
How are waiting line costs and service quality related?
Question
A small diner has one employee and a counter with seating for 8 customers.The diner does not package food for takeout.Customers arrive at the diner at the rate of 20 per hour (Poisson distributed).Service times are exponentially distributed and average 24 per hour.Customers that arrive when all seats are taken do not enter the diner.What is the average time a customer spends in the diner?

A)3 minutes
B)5.975 minutes
C)6.44 minutes
D)8.94 minutes
Question
A service counter employs two servers.On average a server requires 8 minutes to process a customer and service times follow an exponential distribution.Customers arrive at the counter at the rate of 12 per hour according to a Poisson distribution.The average amount of time spent by a customer waiting in line is approximately

A)0.370 minutes.
B)2.844 minutes.
C)14.22 minutes.
D)22.20 minutes.
Question
A small diner has one employee and a counter with seating for 8 customers.The diner does not package food for takeout.Customers arrive at the diner at the rate of 20 per hour (Poisson distributed).Service times are exponentially distributed and average 24 per hour.Customers that arrive when all seats are taken do not enter the diner.What is the probability that there are no customers in the diner?

A)0.2067
B)0.7933
C)0.8333
D)0.1667
Question
What is a calling population in terms of a waiting line system?
Question
A service counter employs two servers.On average a server requires 8 minutes to process a customer and service times follow an exponential distribution.Customers arrive at the counter at the rate of 12 per hour according to a Poisson distribution.On average,the total number of customers in the system (i.e.,waiting and being served)would be

A)1.600.
B)2.844.
C)3.200.
D)4.444.
Question
A service counter employs two servers.On average a server requires 8 minutes to process a customer and service times follow an exponential distribution.Customers arrive at the counter at the rate of 12 per hour according to a Poisson distribution.The probability that an arriving customer must wait for service is

A)0.7111.
B)0.8000.
C)0.8576.
D)0.9327.
Question
A small diner has one employee and a counter with seating for 8 customers.The diner does not package food for takeout.Customers arrive at the diner at the rate of 20 per hour (Poisson distributed).Service times are exponentially distributed and average 24 per hour.Customers that arrive when all seats are taken do not enter the diner.What is the average number of customers in the diner?

A)2.0432
B)2.8364
C)3.7536
D)5.4837
Question
Briefly describe the traditional cost relationship in waiting line analysis.
Question
A service counter employs two servers.On average a server requires 8 minutes to process a customer and service times follow an exponential distribution.Customers arrive at the counter at the rate of 12 per hour according to a Poisson distribution.The probability that there are no customers in the system is

A)0.800.
B)0.536.
C)0.369.
D)0.111.
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Deck 6: Service Design
1
The service sector accounts for over 70 percent of the employment in the United States and Canada.
True
2
Almost all consumer products consist of some combination of facilitating goods and facilitating services.
True
3
The mixture of physical items,sensual benefits,and psychological benefits provided to a customer with a service is known as quality function deployment.
False
4
Service processes can be classified by the degree of labour intensity and customization.
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5
The trade-off between the cost of improved service and the cost of making customers wait provides the basis of waiting line analysis.
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6
Service design and improvement techniques cannot be applied to societal problems,such as education,health care,and government services.
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7
Waiting lines form because customers arrival times and service times are not always equal.
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8
A service package defines the target market and the desired customer experience.
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9
A single waiting line model can be applied to every type of waiting line system.
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10
The negative exponential distribution is the probability distribution most commonly used to describe service times.
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11
Waiting lines form only when service operations are understaffed.
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12
The calling population is the source of customers used in waiting line analysis.
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13
Service companies are centralized and geographically concentrated.
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14
It is widely accepted that the effective design and the efficient operation of services are paramount to the health of the U.S.and Canadian economies.
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15
The service concept also defines how a service differs from other similar products and how it will compete in the marketplace.
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16
In general,services are acts,deeds,or performances that provide a customer time,place,form,or psychological utility.
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17
The service-process matrix is based on two characteristics: labour intensity and volume.
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18
In general,a service and its delivery system are inseparable.
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19
The mixture of physical items,sensual benefits,and psychological benefits provided to a customer with a service is known as the service package.
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20
When designing a service performance,specifications are converted into design specifications,and finally,delivery specifications.
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21
As the level of service improves in a waiting line system,the cost of service usually increases.
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22
Channels refer to the number of parallel servers in a waiting line system.
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23
The number of arrivals per unit time to a service facility is often described by a Poisson distribution.
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24
A waiting line system is said to have a finite calling population if the size of the population of customers from which arrivals originate is known.
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25
The constant average values of operating characteristics that a system attains after a long time is referred to as a steady state.
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26
Which of the following is not a characteristic of a service?

A)tangible
B)variable output
C)difficult to emulate
D)perishable
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27
A dentist office is an example of a

A)service factory.
B)mass service.
C)service shop.
D)professional services.
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28
In general,as the level of service improves the cost of service increases.
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29
Waiting line analysis should be applied only to situations with an infinite calling population.
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30
Which of the following is not a characteristic of a service?

A)intangible
B)variable output
C)difficult to emulate
D)perishable
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31
If service times are exponentially distributed then service rates are normally distributed.
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32
An airline is an example of a

A)service factory.
B)mass service.
C)service shop.
D)professional services.
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33
In a waiting line system,the ___ reflects the probability that the server is busy and the customer must wait.

A)utilization factor
B)queue discipline
C)average number of customers in the system
D)probability the system is idle
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34
Balking occurs when a customer waiting in a line moves from one line to another because he believes it is moving faster.
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35
The number of parallel servers in waiting line analysis is referred to as the number of phases.
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36
Queue discipline specifies the order in which waiting customers are served.
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37
Service quality in waiting line systems sometimes depends on the psychology of waiting.
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38
Mathematical formulas used in waiting line analysis provide only optimal solutions.
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39
If the average service rate is smaller than the average arrival rate,an infinitely large waiting line (queue)will form.
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40
One of the basic assumptions for the single server model is that the calling population is finite.
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41
The ___ is the source of customers for a waiting line system.

A)calling population
B)arrival rate
C)service line channel
D)service line phase
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42
The ___ refers to the order in which waiting customers are served.

A)calling population
B)queue discipline
C)number of channels
D)service rate
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43
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per minute.The average time in minutes a customer spends in the system (i.e.,waiting and being served)is

A)0.114 minute.
B)0.143 minute.
C)6.84 minutes.
D)8.58 minutes.
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44
Which of the following in not a basic element of a waiting line?

A)arrivals
B)servers
C)cost of waiting
D)waiting line structure
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45
The number of channels in a queuing process

A)denotes the number of servers in sequence a customer must go through.
B)denotes the size of the calling population.
C)denotes the number of parallel servers for servicing arriving customers.
D)denotes the average queue length.
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46
If the average time to serve a customer is 3 minutes,then the service rate,µ,is ___.

A)3 per hour
B)12 per hour
C)16 per hour
D)20 per hour
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47
A teacher is an example of a

A)service factory.
B)mass service.
C)service shop.
D)professional services.
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48
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per hour.The average number of customers waiting in line for service is

A)4.0.
B)3.8.
C)3.5.
D)3.2.
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49
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per hour.The average time in minutes a customer spends waiting in line for service is

A)0.114 minute.
B)0.143 minute.
C)6.84 minutes.
D)8.58 minutes.
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50
If,on average,it takes 90 seconds to serve a customer,then the hourly service rate,µ,is ___.

A)90 per hour
B)40 per hour
C)30 per hour
D)1.5 per hour
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51
Consider an espresso stand with a single barista.Customers arrive at the rate of 20 per hour according to a Poisson distribution.Service times are exponentially distributed with a mean service time of 2 minutes per customer.What is the service rate per hour for the espresso stand?

A)30 customers
B)20 customers
C)15 customers
D)2 customers
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52
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per hour.The probability that the server is idle is

A)0.20.
B)0.60.
C)0.80.
D)1.00.
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53
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per minute.If the arrival rate remains at 28 customers per hour and the stand's manager wants to have the average time a customer spends in the system (i.e.,wait time line and service time)to be a maximum of 6 minutes on average,then the service rate must

A)decrease by 2 to 33 customers per hour.
B)decrease by 3 to 32 customers per hour.
C)increase by 3 to 38 customers per hour.
D)increase by 2 to 37 customers per hour.
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54
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per hour.The average number of customers in the system (i.e.,waiting and being served)is

A)4.0.
B)3.8.
C)3.2.
D)2.0.
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55
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per hour.The probability that there are exactly 3 customers in the system is

A)0.0000.
B)0.1024.
C)0.4096.
D)0.5120.
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56
A grocery store is an example of a

A)service factory.
B)mass service.
C)service shop.
D)professional services.
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Unlock Deck
k this deck
57
In general,as the number of servers in a waiting line system increases

A)service cost increases and waiting cost decreases.
B)service cost decreases and waiting cost increases.
C)both service cost and waiting cost increase.
D)both service cost and waiting cost decrease.
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58
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per hour.The probability that there are more than 2 customers in the system is

A)0.128.
B)0.488.
C)0.512.
D)0.640.
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59
Consider an espresso stand with a single barista.Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per hour.The probability that the server is busy is

A)0.20.
B)0.60.
C)0.80.
D)1.00.
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60
The number of arrivals per unit of time at a service facility can frequently be described by a

A)normal distribution.
B)Poisson distribution.
C)binomial distribution.
D)beta distribution.
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61
What are the basic elements of a waiting line? Define each.
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62
A small diner has one employee and a counter with seating for 8 customers.The diner does not package food for takeout.Customers arrive at the diner at the rate of 20 per hour (Poisson distributed).Service times are exponentially distributed and average 24 per hour.Customers that arrive when all seats are taken do not enter the diner.What is the probability that the diner is full and an arriving customer does not enter?

A)0.8333
B)0.1667
C)0.2067
D)0.0481
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63
What is queue discipline and queue length?
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64
A small diner has one employee and a counter with seating for 8 customers.The diner does not package food for takeout.Customers arrive at the diner at the rate of 20 per hour (Poisson distributed).Service times are exponentially distributed and average 24 per hour.Customers that arrive when all seats are taken do not enter the diner.What is the average time a customer spends waiting?

A)2.5 minutes
B)3.0 minutes
C)6.44 minutes
D)24 minutes
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65
A service counter employs two servers.On average a server requires 8 minutes to process a customer and service times follow an exponential distribution.Customers arrive at the counter at the rate of 12 per hour according to a Poisson distribution.The service rate per server for this system is

A)3.75 customers per hour.
B)7.5 customers per hour.
C)8 customers per hour.
D)16 customers per hour.
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66
A small diner has one employee and a counter with seating for 8 customers.The diner does not package food for takeout.Customers arrive at the diner at the rate of 20 per hour (Poisson distributed).Service times are exponentially distributed and average 24 per hour.Customers that arrive when all seats are taken do not enter the diner.What is the average number of customers waiting (average queue length)?

A)2.0432
B)2.8364
C)3.9785
D)5.9782
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67
How can psychology be used to improve waiting lines? Provide an example.
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68
A service counter employs two servers.On average a server requires 8 minutes to process a customer and service times follow an exponential distribution.Customers arrive at the counter at the rate of 12 per hour according to a Poisson distribution.The average amount of time,in minutes,spent in the system (i.e.,waiting and being served)is approximately

A)0.237 minutes.
B)14.22 minutes.
C)22.20 minutes.
D)33.30 minutes.
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69
Do waiting lines only form when the service operation is understaffed? Explain.
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70
A service counter employs two servers.On average a server requires 8 minutes to process a customer and service times follow an exponential distribution.Customers arrive at the counter at the rate of 12 per hour according to a Poisson distribution.The average number of customers waiting to be served would be

A)4.444.
B)2.844.
C)1.600.
D)0.893.
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71
How are waiting line costs and service quality related?
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72
A small diner has one employee and a counter with seating for 8 customers.The diner does not package food for takeout.Customers arrive at the diner at the rate of 20 per hour (Poisson distributed).Service times are exponentially distributed and average 24 per hour.Customers that arrive when all seats are taken do not enter the diner.What is the average time a customer spends in the diner?

A)3 minutes
B)5.975 minutes
C)6.44 minutes
D)8.94 minutes
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73
A service counter employs two servers.On average a server requires 8 minutes to process a customer and service times follow an exponential distribution.Customers arrive at the counter at the rate of 12 per hour according to a Poisson distribution.The average amount of time spent by a customer waiting in line is approximately

A)0.370 minutes.
B)2.844 minutes.
C)14.22 minutes.
D)22.20 minutes.
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74
A small diner has one employee and a counter with seating for 8 customers.The diner does not package food for takeout.Customers arrive at the diner at the rate of 20 per hour (Poisson distributed).Service times are exponentially distributed and average 24 per hour.Customers that arrive when all seats are taken do not enter the diner.What is the probability that there are no customers in the diner?

A)0.2067
B)0.7933
C)0.8333
D)0.1667
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75
What is a calling population in terms of a waiting line system?
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76
A service counter employs two servers.On average a server requires 8 minutes to process a customer and service times follow an exponential distribution.Customers arrive at the counter at the rate of 12 per hour according to a Poisson distribution.On average,the total number of customers in the system (i.e.,waiting and being served)would be

A)1.600.
B)2.844.
C)3.200.
D)4.444.
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77
A service counter employs two servers.On average a server requires 8 minutes to process a customer and service times follow an exponential distribution.Customers arrive at the counter at the rate of 12 per hour according to a Poisson distribution.The probability that an arriving customer must wait for service is

A)0.7111.
B)0.8000.
C)0.8576.
D)0.9327.
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78
A small diner has one employee and a counter with seating for 8 customers.The diner does not package food for takeout.Customers arrive at the diner at the rate of 20 per hour (Poisson distributed).Service times are exponentially distributed and average 24 per hour.Customers that arrive when all seats are taken do not enter the diner.What is the average number of customers in the diner?

A)2.0432
B)2.8364
C)3.7536
D)5.4837
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79
Briefly describe the traditional cost relationship in waiting line analysis.
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80
A service counter employs two servers.On average a server requires 8 minutes to process a customer and service times follow an exponential distribution.Customers arrive at the counter at the rate of 12 per hour according to a Poisson distribution.The probability that there are no customers in the system is

A)0.800.
B)0.536.
C)0.369.
D)0.111.
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