A discrete probability distribution that often describes the arrival rate in queuing theory
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Three parts of a waiting line
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1. Arrivals or input to the system: These have characteristics such as population size, behavior, and a statistical distribution
2. Queue discipline, or the waiting line itself: Characteristics of the queue include whether it is limited or unlimited in length and the discipline of people or item in it
3. The service facility: Its characteristics include its design and the statistical distribution of service times
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The input source that generates arrivals or customers for a service system has three major characterisitcs
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1. Size of the arrival population
2. Behavior of arrivals
3 Pattern of arrivals (statistical distribution)
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Which distribution most frequently describes the arrival rate in queuing​ theory?
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The Poisson distribution is a discrete probability distribution that often describes the arrival rate in queuing theory.
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Negative exponential probability distribution
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A continuous probability distribution often used o describe the service time in a queuing system
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Multi phase system
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A system in which the customer receivers services from several stations before exiting the system
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Single-phrase system
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A system in which the customer receives service from only one station and then exists the system
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Multiple-server queuing system
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A service system with one waiting line but with several servers
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A single-server queuing system
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A service system with one line and one year
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First-in, first-out(FIFO) rule
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A queue discipline in which the first customers in line receive the first service
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Most bank teller services are operated with what kind of​ system?
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​multiple-server, single-phase
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What are the two most important cost considerations in queuing​ problems?
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cost of providing service and cost of waiting time
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As the level of service​ increases, the cost of waiting time
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desearse
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As the level of service​ increases, the cost of providing service
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increases.
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Which of the following represents an unlimited​ queue?
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toll booth serving automobiles on an interstate
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An airline ticket​ counter, with several agents for one line of​ customers, is an example of which of the​ following?
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​multiple-server, single-phase system
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A concert​ hall, employing both ticket takers and ushers to seat​ patrons, behaves typically as which of the​ following?
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​multiple-server, multiphase system
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Which of the following is a measure of queue​ performance?
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- average queue length
- average waiting time in the line
- utilization factor for the system
- probability of a specific number of customers in the system
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Basic Queuing System Designs
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- Single-server, single-phrase system: A family dentist's office
- Single-server, multi phase system: A McDonald's dual-window drive-through
- Multiple -serve, single phase system: Most bank and post office service windows
- Multiple-server, multi phase system: Some college cafeterias
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measure of queue​ performanc
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1. Average time that each customer or object spends int he queue
2. Average queue length
3: Average time that each customer spends in the system (waiting time plus service time)
4: Average number of customers in the system
5: Probability that the service facility will be idle
6: Utilization factor for the system
7: Probability of a specific number if customers in the system
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