15937_74850_CO1 COI3.pptx - Purpose To present several...

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performed by devising a simulation table either manually Purpose To present several examples of simulations that can be performed by devising a simulation table either manually or with a spreadsheet. To provide insight into the methodology of discrete- system simulation and the descriptive statistics used for predicting system performance. 2
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Determine the input characteristics. Outline The simulations are carried out by following steps: Construct a simulation table. For each repetition i , generate a value for each input, evaluate the function, and calculate Simulation examples are the value of the response y i . in queueing, inventory, reliability and network analysis. 3
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arrivals, service mechanism, system capacity and the queueing Key concepts: Simulation of Queueing Systems A queueing system is described by its calling population, nature of arrivals, service mechanism, system capacity and the queueing discipline (details in Chapter 6.) A simple single-channel queuing system: In a single-channel queue: The calling population is infinite. Arrivals for service occur one at a time in a random fashion, once they the waiting line, they are eventually served. join Arrivals and services are defined by the distribution of the time between arrivals and service times. Key concepts: The system state is the number of units in the system and the status of the server (busy or idle). An event is a set of circumstances that causes an instantaneous change in the system state, e.g., arrival and departure events. The simulation clock is used to track simulated time. 4
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manner shown below: Simulation of Queueing Systems If a unit has just completed manner shown below: service, the simulation proceeds in the The flow diagram for the arrival event: 5
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Simulation of Queueing Systems Potential unit actions upon arrival: Server out comes after the completion of service: 6
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Tracks the future times at which different types of events occur. Events usually occur at random times. Simulation of Queueing Systems Event list: to help determine what happens next. (this chapter simplifies the simulation by tracking each unit explicitly.) Events usually occur at random times. The randomness needed to imitate real life is made possible through the use of random numbers, they can be generated using: Random digits tables: form random numbers by selecting the proper number of digits and placing a decimal point to the left of the value selected, e.g., Table A.1 in book. Simulation packages and spreadsheets. Details in chapter 7. 7
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Assume that the times between arrivals were generated by rolling Assume the only possible service times are 1,2,3 and 4 time units Simulation of Queueing Systems Single-channel queue illustration: a die 5 times and Customer recording the Interarrival Time up face. Input generated: Arrival Time on Clock 1 2 3 4 5 6 - 2 4 1 2 6 0 2 6 7 9 15 1 st 2 nd The customer is assumed to arrive at clock time 0. customer arrives two time units later (at clock time 2), and so on.
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  • Spring '17
  • azmat fatma
  • Probability theory, Randomness, Cumulative distribution function, Simulation of Queueing Systems

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