By Huseyin Simitci
ISBN-10: 076451685X
ISBN-13: 9780764516856
Positive aspects vendor-neutral assurance acceptable to any garage networkIncludes a unique case-study part bringing up real-world functions and examplesThe first vendor-neutral quantity to hide garage community functionality tuning and optimizationExacting functionality tracking and research maximizes the potency and cost-effectiveness of current garage networksMeets the wishes of community directors, garage engineers, and IT pros confronted with shrinking budgets and turning out to be info garage calls for
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Example text
Bottleneck Analysis and Performance Bounds It is possible to find theoretical lower and upper bounds for a queuing network's throughput without solving the whole queuing system. Upper bounds can also be used to determine bottlenecks in the system. Lower Bound for Throughput In a closed queuing network with N-1 jobs, the queue length at a given station cannot be greater than N-1. This leads to the relation shown in Equation 3-21. Equation 3-21 From Equations 3-19 and 3-21, you can find an upper bound for the response times at each station, as shown in Equation 3-22.
Chapter 3: Analytic Modeling 43 44 Chapter 3: Analytic Modeling Forced Flow Law In a queuing network, a given transaction might need to travel to some service centers more than once before departing the network. Vi is used to denote the number of visits (visit count) each transaction makes to service center i before it is considered completed. The Forced Flow Law, given in Equation 3-7, states that the throughput (Xi) of service center i is the product of the number of visits to that center (Vi) and the system throughput (X).
In this case, γ equals X. Equation 3-3 Defining a Queuing Center Customers arriving at a system like the one shown in Figure 3-1 receive some service. If the resources are limited, the customers must wait in a queue until the resource is free. This queuing behavior is formalized with queuing centers, in the field of queuing theory (Gross, 1997). Figure 3-2 shows the symbol for a queuing center, which is sometimes called a service center or a service station. A system like the one seen in Figure 3-1 might consist of a single service center or a network of service centers.
Storage Network Performance Analysis by Huseyin Simitci
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