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51 Cards in this Set

  • Front
  • Back
The case in which arriving customers refuse to join the waiting line
The population of items from which arrivals at the queing system come.
Calling Population
A queue discipline (meaning first-in, first-out) in which the customers are served in the strict order of arrival
A method of classifying queuing systems based on the distribution of arrivals, the distribution of service times, and the number of service channels.
Kendall Notation
A case in which the number of customers in the system is a significant proportion of the calling population
Limited or Finite Population
A waiting line that cannot increase beyond a specific size.
Limited Queue Length
A set of relationships that exist for any queuing system in a steady state.
Little's Equations
Kendall notation for the constant service time model.
Kendall notation for the multichannel queuing model (with m servers) and Poisson arrivals and exponential service times
Kendall notation for the single-channel model with Poisson arrivals and exponential service times.
A system that has more than one service facility, all fed by the same single queue.
Multichannel Queuing System
A system in which service is received from more than one station, one after the other
Multiphase System
A probability distribution that is often used to describe random service times in a service system
Negative Exponential Probability Distribution
Descriptive characteristics of a queuing system, including the average number of customers in a line and in the system, the average waiting times in a line and in the system, and percent idle time
Operating Characteristics
A probability distribution that is often used to describe random arrivals in a queue.
Poisson Distribution
The rule by which customers in a line receive service
Queue Discipline
The mathematical study of waiting lines or queues
Queuing Theory
The case in which customers enter a queue but then leave before being serviced
The cost of providing a particular level of service
Service cost
A system with one service facility fed by one queue
Single-channel Queuing System
A queuing system in which service is received at only one station
Single-phase system
The normal, stabilized operation condition of a queuing system
Steady state
The initial condition of a queuing system before a steady state is reached
Transient state
A calling population that is very large relative to the number of customers currently in the system
Unlimited or Infinite Population
A queue that can increase to an infinite size
Unlimited Queue Length
The proportion of the time that service facilities are in use
Utilization Factor
The cost to the firm of having customers or objects waiting to be serviced
Waiting Cost
One or more customers or objects waiting to be served
Waiting Line(Queue)
A simulation model in which the system status is updated at specific intervals of time
Fixed time Increment Model
A graphical means of presenting the logic of a simulation model. It is a tool that helps in writing a simulation computer program
Flow Diagram or flowchart
Computer programming languages, such as Visual Basic, C++, or java, that are used to simulate a problem
General-Purpose languages
Simulations that experiment with probabilistic elements of a system by generating random numbers to create values for those elements
Monte Carlo Simulation
A simulation model in which the system status is updated whenever the next event occurs
Next Event Time Increment Model
The use of simulation in competitive situations such as military games and business or management games
Operational Gaming
These graphical programs are prestructured to handle a variety of situations
Prewritten Simulation Programs
A number whose digits are selected completely at random
Random Number
A range of random numbers assigned to represent a possible simulation outcome.
Random Number Interval
A quantitative analysis technique that involves building a mathematical model that represents a real-world situation. The model is then experimented with to estimate the effects of various actions and decisions
Programming languages especially designed to be efficient in handling simulation problems. The category includes GPSS/H, SIMSCRIPT II.5, and SLAM II
Special-Purpose Simulation Languages
Simulation models dealing with the dynamics of large organizational or governmental systems.
Systems Simulation
The process of comparing a model to the real system that it represents to make surethat it is accurate
The process of determining that the computer model is internally consistent and following the logic of the conceptual model
A state that, when entered, cannot be left. The probability of going from an absorbing state to any other state is 0.
Absorbing State
A condition that exists whent he state probabilities for a future period are the same as the state probabilities for a future period are the same as the state probabilities for a previous period
Equilibrium Condition
A matrix that is the inverse of the I minus B matrix. It is needed to compute the equilibrium conditions when absorbing states are involved.
Fundamental Matrix
The fraction of the population that shops at a particular store or market. When expressed as a fraction, market shares can be used in a place of state probabilities
Market Share
A type of analysis that allows us to predict the future by using the state probabilities and the matrix of transition probabilities
Markov Analysis
A matrix containing all transition probabilities for a certain process or system
Matrix of Transition Probabilities
The probability of an event occuring at a point in time. Examples include the probability that a person will be shopping at a given grocery store during a given month.
State Probability
The conditional probability that we will be in a future state given a current or existing state.
Transition Probability
A collection or vector of all state probabilities for a given system or process. The vector of state probabilities could be the initial state or future state.
Vector of State Probabilities