Podcast
Questions and Answers
What does the arrival rate (λ) represent in a service process?
What does the arrival rate (λ) represent in a service process?
- The time interval between arrivals
- The average time taken to serve a customer
- The number of arrivals within a specific time period (correct)
- The total number of arrivals in an unspecified time period
Which distribution is typically used to model the number of arrivals in a given time interval?
Which distribution is typically used to model the number of arrivals in a given time interval?
- Geometric distribution
- Binomial distribution
- Poisson distribution (correct)
- Normal distribution
What is the inter-arrival time (1/λ) in the context of call centers?
What is the inter-arrival time (1/λ) in the context of call centers?
- The average duration of a call
- The waiting time for the first call to arrive
- The total duration of observation
- The time between two successive calls (correct)
In the example of a carwash, if the arrival rate is 10 cars per hour, how long is the average inter-arrival time?
In the example of a carwash, if the arrival rate is 10 cars per hour, how long is the average inter-arrival time?
Why is the exponential distribution suitable for modeling inter-arrival times?
Why is the exponential distribution suitable for modeling inter-arrival times?
If a home appliance repair service has an arrival rate of 4 maintenance requests per season, what is the corresponding inter-arrival time?
If a home appliance repair service has an arrival rate of 4 maintenance requests per season, what is the corresponding inter-arrival time?
What type of information can the average inter-arrival time provide to service managers?
What type of information can the average inter-arrival time provide to service managers?
In a call center with an arrival rate of 3 calls per minute, what is the expected time between two calls?
In a call center with an arrival rate of 3 calls per minute, what is the expected time between two calls?
What is the formula for calculating system utilization in a queuing system?
What is the formula for calculating system utilization in a queuing system?
Which formula expresses the relationship between average arrival rate and average waiting time in queue?
Which formula expresses the relationship between average arrival rate and average waiting time in queue?
What does Ls represent in queuing theory?
What does Ls represent in queuing theory?
How is the average number of customers in the system calculated?
How is the average number of customers in the system calculated?
Which of the following statements is true regarding the average service time Ws?
Which of the following statements is true regarding the average service time Ws?
In a queuing system, what does Lq specifically indicate?
In a queuing system, what does Lq specifically indicate?
How is the probability of exactly x customers in the system represented?
How is the probability of exactly x customers in the system represented?
Which of the following would NOT be a factor in determining the average number of customers in service (Ls)?
Which of the following would NOT be a factor in determining the average number of customers in service (Ls)?
What does the inter-arrival time in an exponential distribution typically represent in a supply chain context?
What does the inter-arrival time in an exponential distribution typically represent in a supply chain context?
Which of the following intervals shows the highest frequency of occurrences based on the provided data?
Which of the following intervals shows the highest frequency of occurrences based on the provided data?
How does supply chain variability affect capacity adjustment tactics?
How does supply chain variability affect capacity adjustment tactics?
In performance measurement, which of the following aspects is crucial for assessing the efficiency of supply chain operations?
In performance measurement, which of the following aspects is crucial for assessing the efficiency of supply chain operations?
What is a primary environmental impact of inefficient supply chain strategies?
What is a primary environmental impact of inefficient supply chain strategies?
Which demand and supply strategy primarily focuses on inventory control?
Which demand and supply strategy primarily focuses on inventory control?
Which option describes an adjustment tactic to increase supply chain capacity?
Which option describes an adjustment tactic to increase supply chain capacity?
In the context of environmental impacts, how can supply chains minimize waste?
In the context of environmental impacts, how can supply chains minimize waste?
Which approach focuses on aligning production with actual consumer demand?
Which approach focuses on aligning production with actual consumer demand?
What role does performance measurement play in supply chain management?
What role does performance measurement play in supply chain management?
Flashcards
Inter-Arrival Time
Inter-Arrival Time
The time between successive events in a sequence.
Exponential Distribution
Exponential Distribution
A probability distribution that describes the time between events in a Poisson process.
Poisson Process
Poisson Process
A stochastic process in which events occur continuously and independently at a constant average rate.
Time Intervals
Time Intervals
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Frequency of Inter-arrival Time Intervals
Frequency of Inter-arrival Time Intervals
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Data Ranges
Data Ranges
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0.7 - 1.5
0.7 - 1.5
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Data Distribution of Interarrival Times
Data Distribution of Interarrival Times
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Average Rate
Average Rate
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Event Count
Event Count
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Arrival Rate (λ)
Arrival Rate (λ)
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Inter-arrival Time (1/λ)
Inter-arrival Time (1/λ)
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Poisson Distribution
Poisson Distribution
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Carwash Arrival Rate Example
Carwash Arrival Rate Example
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Call Center Arrival Rate Example
Call Center Arrival Rate Example
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Home Appliance Repair Arrival Example
Home Appliance Repair Arrival Example
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Inter-Arrival Time Histogram
Inter-Arrival Time Histogram
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System Utilization
System Utilization
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Lq
Lq
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Wq
Wq
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Ls
Ls
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Ws
Ws
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L
L
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W
W
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λ (arrival rate)
λ (arrival rate)
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Study Notes
Module D: Service Capacity
- This module covers service capacity, demand, and supply
- It discusses understanding variability in service operations (customer-induced and operations-induced variability)
- Two general ways to match demand and supply (chase demand and level capacity strategies) are highlighted.
- Essential features of queuing systems (calling population, arrival process, queue configurations, queue discipline, service process) are explained
- Common queuing systems and queuing analysis methods are introduced.
- Design of an optimal queuing system, capacity planning criteria, queuing systems practice problems, demand management (differential pricing), and the newsvendor problem are discussed.
Yield Management
- What is Yield Management?
- Why is Yield Management useful in the service industry?
- What do "Newsvendor", "Overbooking", and "Advance-Selling" have in common?
- Yield Management practice problems are covered
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