Finding the Right Number of Servers in Real-World Queuing Systems
Winfried K. Grassmann
Abstract
Winfried K. Grassmann
Abstract
Real-life queuing problems tend to be complex and ill-defined, and exact mathematical approaches are therefore illusory. This has to be taken into account when one wants to determine the right number of servers in a real-life queuing system, a problem of considerable practical importance. We suggest a number of approaches to find the number of servers. These approaches are both simple and flexible enough to cover a wide variety of queuing situations. Most of these approaches are based on the normal distribution, and their derivation is similar to the one used in one-period inventory models. Formulas based on classical queuing equations are also discussed.
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Real-life queuing problems tend to be complex and ill-defined, and exact mathematical approaches are therefore illusory. This has to be taken into account when one wants to determine the right number of servers in a real-life queuing system, a problem of considerable practical importance. We suggest a number of approaches to find the number of servers. These approaches are both simple and flexible enough to cover a wide variety of queuing situations. Most of these approaches are based on the normal distribution, and their derivation is similar to the one used in one-period inventory models. Formulas based on classical queuing equations are also discussed.
Key concepts: Server, Queueing theory, Computer science, Cover (algebra), Variety (cybernetics), Queue management system, Simple (philosophy), Distributed computing