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                           <rdf:li><rdf:Description xmpDM:name="General Open Network of Queues (Cont) If all queues are single-server queues, the queue length distribution is:" xmpDM:startTime="0" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="General Open Network of Queues Product form networks are easier to analyze Jackson (1963) showed that any arbitrary open network" xmpDM:startTime="1500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="of m-server queues with exponentially distributed service times has a product form" xmpDM:startTime="1500" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 32.1" xmpDM:startTime="3767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Consider a closed system with two queues and N jobs circulating among the queues: Both servers have an exponentially distributed" xmpDM:startTime="3767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="service time." xmpDM:startTime="3767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="The mean service times are 2 and 3, respectively." xmpDM:startTime="3767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="The probability of having n1 jobs in the first queue and n2=N-n1 jobs in the second queue can be shown" xmpDM:startTime="3767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="to be: In this case, the normalizing constant G(N) is 3N+1-2N+1." xmpDM:startTime="3767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="The state probabilities are products of functions of the number of jobs in the queues." xmpDM:startTime="3767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Thus, this is a product form network." xmpDM:startTime="3767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="3767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description 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Network" xmpDM:startTime="4933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="C" xmpDM:startTime="4933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Product-Form Network Any queueing network in which: When fi(ni) is some function of the number of jobs at the ith" xmpDM:startTime="5800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="facility, G(N) is a normalizing constant and is a function of the total number of jobs in the system." xmpDM:startTime="5800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="5800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 32.1" xmpDM:startTime="66167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Consider a closed system with two queues and N jobs circulating among the queues: Both servers have an exponentially distributed" xmpDM:startTime="66167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="service time." xmpDM:startTime="66167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="The mean service times are 2 and 3, respectively." xmpDM:startTime="66167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="The probability of having n1 jobs in the first queue and n2=N-n1 jobs in the second queue can be shown" xmpDM:startTime="66167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="to be: In this case, the normalizing constant G(N) is 3N+1-2N+1." xmpDM:startTime="66167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="The state probabilities are products of functions of the number of jobs in the queues." xmpDM:startTime="66167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Thus, this is a product form network." xmpDM:startTime="66167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="66167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="General Open Network of Queues Product form networks are easier to analyze Jackson (1963) showed that any arbitrary open network" xmpDM:startTime="98700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="of m-server queues with exponentially distributed service times has a product form" xmpDM:startTime="98700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="General Open Network of Queues (Cont) If all queues are single-server queues, the queue length distribution is:" xmpDM:startTime="185767" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="General Open Network of Queues Product form networks are easier to analyze Jackson (1963) showed that any arbitrary open network" xmpDM:startTime="196233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="of m-server queues with exponentially distributed service times has a product form" xmpDM:startTime="196233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="General Open Network of Queues (Cont) If all queues are single-server queues, the queue length distribution is:" xmpDM:startTime="221400" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Closed Product-Form Networks Gordon and Newell (1967) showed that any arbitrary closed networks of m-server queues with exponentially distributed service" xmpDM:startTime="286733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="times also have a product form solution." xmpDM:startTime="286733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Baskett, Chandy, Muntz, and Palacios (1975) and then Denning and Buzen (1978) showed that product form solutions exist for an" xmpDM:startTime="286733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="even broader class of networks." xmpDM:startTime="286733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Note: Internal flows are not Poisson." xmpDM:startTime="286733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="286733" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Machine Repairman Model Originally for machine repair shops A number of working machines with a repair facility with one or" xmpDM:startTime="396800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="more servers (repairmen)." xmpDM:startTime="396800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Whenever a machine breaks down, it is put in the queue for repair and serviced as soon as a repairman" xmpDM:startTime="396800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="is available Scherr (1967) used this model to represent a timesharing system with n terminals." xmpDM:startTime="396800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Users sitting at the terminals generate requests (jobs) that are serviced by the system which serves as a repairman." xmpDM:startTime="396800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="After a job is done, it waits at the user-terminal for a random ``think-time'' interval before cycling again." xmpDM:startTime="396800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="396800" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Central Server Model Introduced by Buzen (1973) The CPU is the ``central server'' that schedules visits to other devices After" xmpDM:startTime="635700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="service at the I/O devices the jobs return to the CPU" xmpDM:startTime="635700" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Types of Service Centers Three kinds of devices 1." xmpDM:startTime="726900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Fixed-capacity service centers: Service time does not depend upon the number of jobs in the device For example, the CPU" xmpDM:startTime="726900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="in a system may be modeled as a fixed-capacity service center." xmpDM:startTime="726900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="2." xmpDM:startTime="726900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Delay centers or infinite server: No queueing." xmpDM:startTime="726900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Jobs spend the same amount of time in the device regardless of the number of jobs in it." xmpDM:startTime="726900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="A group of dedicated terminals is usually modeled as a delay center." xmpDM:startTime="726900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="3." xmpDM:startTime="726900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Load-dependent service centers: Service rates may depend upon the load or the number of jobs in the device.," xmpDM:startTime="726900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="e.g.," xmpDM:startTime="726900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="M/M/m queue (with m &gt; 2 ) A group of parallel links between two nodes in a computer network is" xmpDM:startTime="726900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="another example" xmpDM:startTime="726900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Central Server Model Introduced by Buzen (1973) The CPU is the ``central server'' that schedules visits to other devices After" xmpDM:startTime="769233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="service at the I/O devices the jobs return to the CPU" xmpDM:startTime="769233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Types of Service Centers Three kinds of devices 1." xmpDM:startTime="771600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Fixed-capacity service centers: Service time does not depend upon the number of jobs in the device For example, the CPU" xmpDM:startTime="771600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="in a system may be modeled as a fixed-capacity service center." xmpDM:startTime="771600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="2." xmpDM:startTime="771600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Delay centers or infinite server: No queueing." xmpDM:startTime="771600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Jobs spend the same amount of time in the device regardless of the number of jobs in it." xmpDM:startTime="771600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="A group of dedicated terminals is usually modeled as a delay center." xmpDM:startTime="771600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="3." xmpDM:startTime="771600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Load-dependent service centers: Service rates may depend upon the load or the number of jobs in the device.," xmpDM:startTime="771600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="e.g.," xmpDM:startTime="771600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="M/M/m queue (with m &gt; 2 ) A group of parallel links between two nodes in a computer network is" xmpDM:startTime="771600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="another example" xmpDM:startTime="771600" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Central Server Model Introduced by Buzen (1973) The CPU is the ``central server'' that schedules visits to other devices After" xmpDM:startTime="784167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="service at the I/O devices the jobs return to the CPU" xmpDM:startTime="784167" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Types of Service Centers Three kinds of devices 1." xmpDM:startTime="809233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Fixed-capacity service centers: Service time does not depend upon the number of jobs in the device For example, the CPU" xmpDM:startTime="809233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="in a system may be modeled as a fixed-capacity service center." xmpDM:startTime="809233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="2." xmpDM:startTime="809233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Delay centers or infinite server: No queueing." xmpDM:startTime="809233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Jobs spend the same amount of time in the device regardless of the number of jobs in it." xmpDM:startTime="809233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="A group of dedicated terminals is usually modeled as a delay center." xmpDM:startTime="809233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="3." xmpDM:startTime="809233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Load-dependent service centers: Service rates may depend upon the load or the number of jobs in the device.," xmpDM:startTime="809233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="e.g.," xmpDM:startTime="809233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="M/M/m queue (with m &gt; 2 ) A group of parallel links between two nodes in a computer network is" xmpDM:startTime="809233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="another example" xmpDM:startTime="809233" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Quiz 32B The probability function for jobs in a system with m queues is: Is this a product form network?" xmpDM:startTime="924433" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="________ Identify the type of server: Multi-core CPU: ____________ Single-core CPU (No dynamic frequency scaling): ____________ Single-core CPU (with dynamic" xmpDM:startTime="924433" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="frequency scaling): ____________ Hard disk drives: ____________ Solid state drives: ____________ Multiple users each handling one window: ____________ A user" xmpDM:startTime="924433" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="handling multiple windows: ____________" xmpDM:startTime="924433" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Types of Service Centers Three kinds of devices 1." xmpDM:startTime="971900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Fixed-capacity service centers: Service time does not depend upon the number of jobs in the device For example, the CPU" xmpDM:startTime="971900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="in a system may be modeled as a fixed-capacity service center." xmpDM:startTime="971900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="2." xmpDM:startTime="971900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Delay centers or infinite server: No queueing." xmpDM:startTime="971900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Jobs spend the same amount of time in the device regardless of the number of jobs in it." xmpDM:startTime="971900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="A group of dedicated terminals is usually modeled as a delay center." xmpDM:startTime="971900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="3." xmpDM:startTime="971900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Load-dependent service centers: Service rates may depend upon the load or the number of jobs in the device.," xmpDM:startTime="971900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="e.g.," xmpDM:startTime="971900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="M/M/m queue (with m &gt; 2 ) A group of parallel links between two nodes in a computer network is" xmpDM:startTime="971900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="another example" xmpDM:startTime="971900" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Quiz 32B The probability function for jobs in a system with m queues is: Is this a product form network?" xmpDM:startTime="974933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="________ Identify the type of server: Multi-core CPU: ____________ Single-core CPU (No dynamic frequency scaling): ____________ Single-core CPU (with dynamic" xmpDM:startTime="974933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="frequency scaling): ____________ Hard disk drives: ____________ Solid state drives: ____________ Multiple users each handling one window: ____________ A user" xmpDM:startTime="974933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="handling multiple windows: ____________" xmpDM:startTime="974933" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Summary Open, Closed, and Mixed queueing networks Product form networks: Any network in which the system state probability is a" xmpDM:startTime="1159300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="product of device state probabilities Jackson: Network of M/M/m queues." xmpDM:startTime="1159300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="BCMP: More general conditions Denning and Buzen: Even more general conditions Service centers: Fixed capacity, delay centers, load dependent Jackson" xmpDM:startTime="1159300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="BCMP DB Product Form Networks" xmpDM:startTime="1159300" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Homework 32 In a series network of three routers, the packets arrive at the rate of 100 packets/second." xmpDM:startTime="1280633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="The service rate of the three routers is 250 packets/s, 150 packets/s, and 200 packets/s." xmpDM:startTime="1280633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Write an expression for the state probability of the system." xmpDM:startTime="1280633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Calculate the probability of having 2 packets at each of the three routers." xmpDM:startTime="1280633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="1280633" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Scan This to Download These Slides thankyou Raj Jain http://rajjain.com" xmpDM:startTime="1312267" xmpDM:duration="1000"/></rdf:li><rdf:li><rdf:Description xmpDM:name="" xmpDM:startTime="1312267" xmpDM:duration="1000"/></rdf:li></rdf:Seq>
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                           <rdf:li><rdf:Description xmpDM:name="General Open Network of Queues (Cont)" xmpDM:startTime="0" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="0" tscDM:imageoffset="0" tscDM:imagerect="0, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="General Open Network of Queues" xmpDM:startTime="1500" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="1" tscDM:imageoffset="0" tscDM:imagerect="75, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 32.1 " xmpDM:startTime="3767" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="2" tscDM:imageoffset="0" tscDM:imagerect="150, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Product-Form Network" xmpDM:startTime="4300" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="3" tscDM:imageoffset="0" tscDM:imagerect="225, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Solution to Quiz 32A" xmpDM:startTime="4933" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="4" tscDM:imageoffset="0" tscDM:imagerect="300, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Product-Form Network" xmpDM:startTime="5800" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="5" tscDM:imageoffset="0" tscDM:imagerect="375, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Example 32.1 " xmpDM:startTime="66167" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="6" tscDM:imageoffset="0" tscDM:imagerect="450, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="General Open Network of Queues" xmpDM:startTime="98700" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="7" tscDM:imageoffset="0" tscDM:imagerect="525, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="General Open Network of Queues (Cont)" xmpDM:startTime="185767" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="8" tscDM:imageoffset="0" tscDM:imagerect="600, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="General Open Network of Queues" xmpDM:startTime="196233" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="9" tscDM:imageoffset="0" tscDM:imagerect="675, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="General Open Network of Queues (Cont)" xmpDM:startTime="221400" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="10" tscDM:imageoffset="0" tscDM:imagerect="750, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Closed Product-Form Networks" xmpDM:startTime="286733" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="11" tscDM:imageoffset="0" tscDM:imagerect="825, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Machine Repairman Model" xmpDM:startTime="396800" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="12" tscDM:imageoffset="0" tscDM:imagerect="900, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Central Server Model" xmpDM:startTime="635700" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="13" tscDM:imageoffset="0" tscDM:imagerect="975, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Types of Service Centers" xmpDM:startTime="726900" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="14" tscDM:imageoffset="0" tscDM:imagerect="1050, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Central Server Model" xmpDM:startTime="769233" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="15" tscDM:imageoffset="0" tscDM:imagerect="1125, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Types of Service Centers" xmpDM:startTime="771600" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="16" tscDM:imageoffset="0" tscDM:imagerect="1200, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Central Server Model" xmpDM:startTime="784167" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="17" tscDM:imageoffset="0" tscDM:imagerect="1275, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Types of Service Centers" xmpDM:startTime="809233" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="18" tscDM:imageoffset="0" tscDM:imagerect="1350, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Quiz 32B" xmpDM:startTime="924433" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="19" tscDM:imageoffset="0" tscDM:imagerect="1425, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Types of Service Centers" xmpDM:startTime="971900" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="20" tscDM:imageoffset="0" tscDM:imagerect="1500, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Quiz 32B" xmpDM:startTime="974933" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="21" tscDM:imageoffset="0" tscDM:imagerect="1575, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Summary" xmpDM:startTime="1159300" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="22" tscDM:imageoffset="0" tscDM:imagerect="1650, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Homework 32" xmpDM:startTime="1280633" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="23" tscDM:imageoffset="0" tscDM:imagerect="1725, 0, 75, 56"/></rdf:li><rdf:li><rdf:Description xmpDM:name="Scan This to Download These Slides" xmpDM:startTime="1312267" tscDM:image="k_32qn2_Thumbnails.png" tscDM:imageindex="24" tscDM:imageoffset="0" tscDM:imagerect="1800, 0, 75, 56"/></rdf:li></rdf:Seq>
                     </xmpDM:markers>
                  </rdf:Description>
               </rdf:li>
            </rdf:Bag>
         </xmpDM:Tracks>
         <tscDM:controller>
            <rdf:Description xmpDM:name="tscplayer">
               <tscDM:parameters>
                  <rdf:Bag>
                     <rdf:li xmpDM:name="autohide" xmpDM:value="true"/><rdf:li xmpDM:name="autoplay" xmpDM:value="false"/><rdf:li xmpDM:name="loop" xmpDM:value="false"/><rdf:li xmpDM:name="searchable" xmpDM:value="true"/><rdf:li xmpDM:name="captionsenabled" xmpDM:value="false"/><rdf:li xmpDM:name="sidebarenabled" xmpDM:value="false"/><rdf:li xmpDM:name="unicodeenabled" xmpDM:value="false"/><rdf:li xmpDM:name="backgroundcolor" xmpDM:value="000000"/><rdf:li xmpDM:name="sidebarlocation" xmpDM:value="left"/><rdf:li xmpDM:name="endaction" xmpDM:value="stop"/><rdf:li xmpDM:name="endactionparam" xmpDM:value="true"/><rdf:li xmpDM:name="locale" xmpDM:value="en-US"/></rdf:Bag>
               </tscDM:parameters>
               <tscDM:controllerText>
                  <rdf:Bag>
                  </rdf:Bag>
               </tscDM:controllerText>
            </rdf:Description>
         </tscDM:controller>
         <tscDM:contentList>
            <rdf:Description>
               <tscDM:files>
                  <rdf:Seq>
                     <rdf:li xmpDM:name="0" xmpDM:value="k_32qn2.mp4"/><rdf:li xmpDM:name="1" xmpDM:value="k_32qn2_First_Frame.png"/><rdf:li xmpDM:name="2" xmpDM:value="k_32qn2_Thumbnails.png"/></rdf:Seq>
               </tscDM:files>
            </rdf:Description>
         </tscDM:contentList>
      </rdf:Description>
   </rdf:RDF>
</x:xmpmeta>