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When no source of data is available which can be used to predict the behavior of a new system, it may be necessary to build a scale model to generate predictive data Such a simulation model will be based on the process and hardware to be used in reality and will be fed with a sequence of descriptions of the desired computations The output of a simulation will not be the results of the computation, but rather measurements of parameters collected in the simulation process The principal components of a discrete, event-driven simulation are shown in Fig 6-7 The input to the simulation itself is an event queue, which contains entries of events that are created external to the system being simulated, for example, a request to retrieve a record; and internal events, for example, a completion of a seek The output is a log of events with their times, which can be further analyzed External event entries may be generated by a program It will use the expected distribution of external requests to make up request types and their times Another source for external events may be a log le from an existing system or a synthetic program which generates event requests during its execution Logs or programs have the advantage that they provide a standard for system testing
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The Process of Simulation
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A simulation has its own timing mechanism To determine how long the simulated computation will take in real life, the simulation uses a variable clock to keep the simulated time The clock is incremented to the next event to be simulated An external event may specify: At time = 291: Fetch Record for employee 631 (' Jones' ) After setting the clock to 291 and logging the receipt of this event, the steps of the process are simulated to the extent required If a hashed access to a disk or similar unit is being simulated, the steps shown in Example 6-10 are appropriate We see that, because of the existence of queues, requests may not be processed when they arrive Queuing is the subject of Sec 6-3
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Sec 6-2
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A problem with simulations driven by lists of external events is that there is no feedback from the system to the generator This is ne if the process requesting services is indeed independent of the system
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Independent and non-independent request sources
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1 An independent request function would be the distribution of ight inquiries by phone from potential passengers 2 If the requests are issued by airline reservation agents, then a poor response rate by the system response will reduce their actual rate of entering inquiries
Dependent requests are best modeled internally within the simulation A response function based on data as shown in Fig 5-3 can be used to describe the e ects of the user-machine interaction When randomly generated events are used, multiple tests or partitioned long tests are needed to verify the stability of the simulation results The parameters of interest are either processed incrementally or written on a log le for later summarization Typical parameters of interest are the total time to process all the events, the time required to process individual events, and the activity ratios of the devices used The data obtained is again conveniently presented as histograms or described as distributions Then predictions can be made, such as, The response time to an inquiry is less than 10 s 90% of the time
Example 6-10
Simulation steps
1 A status table for the simulated devices, as shown in Fig 6-8, is checked If the device being requested is busy skip to step 13 2 A block address is computed for record with key 631 using the key-to-address transform being considered A constant value, c, for the KAT is obtained separately 3 The desired cylinder position is determined 4 The amount of seek, cyl, from the current position is calculated 5 The required seek time, scyl , is found 6 A random latency, r , is generated 7 The block transfer time, btt, is calculated from the transfer rate, r , and the block size, B It will be constant for a given system 8 A random function based on n/m is used to determine if there is a collision, if yes, go to step 3 to compute the incremental times, else 9 The completion time is computed as 291 + c + s + r + btt, say, 294 10 The status of the disk unit used is set to busy 11 Now an internal event is generated which states that At time 294: Record 631 ('Jones') is in core, and disk D is free 12 The internal events are merged with the external events, and the simulation continues until the event list is exhausted 13 When a device is found busy, the requests are put into a device queue 14 Eventually A device is free signal from the internal queue resets the status, anddirects the simulation to look at the device queue, select a request to be processed, and simulate it, continuing with step 1
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