Good Report Sample

Good Report Sample - M/M/s queue report Theresa M Roeder...

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M/M/s queue report Theresa M. Roeder F INDING AN A PPROPRIATE N UMBER OF S ERVERS FOR A S IMPLE C USTOMER S ERVICE S YSTEM Executive Summary Many business situations can be seen as systems where customers arrive and then wait in queue until they can be served by someone (or the machine they are waiting for becomes available). Determining how many servers should be working or available is an important problem. Too many servers result in unnecessary personnel or equipment costs. Too few servers result in overworked servers; this, in turn, can lead to high absenteeism/turnover or high maintenance/repair costs. Too few servers also cause high waiting times for customers. In this report, we use a simulation model to verify analytic results determining how many servers are needed. For the system we are studying, 6 servers appear to be appropriate. Additional training or upgrades might reduce this number by increasing the speed at which customers can be served. 1. I NTRODUCTION Many industrial or business situations can be modeled using a mathematical technique known as queueing systems. These are systems where customers arrive and then wait to be served. Once they are served, they can either leave the system, or continue being served (elsewhere). In the system we are studying here, customers leave after being served. Determining the right number of servers to serve all the customers is an important aspect of analyzing queueing systems. If there are too few servers, customer wait times will be long, resulting in unhappy customers that may not return. In addition, the servers will be overworked, which can lead to high absenteeism or turnover. If the servers are machines, overuse can cause frequent outages and, therefore, high repair/maintenance costs. If there are too many servers, unnecessary money is being spent paying for them. This capital could be otherwise invested. In Section 2, we describe the system we are studying in detail. Section 0 presents the analysis. The results of the analysis are given in Section 4. Section 5 provides concluding remarks and thoughts for future research.
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This note was uploaded on 01/26/2012 for the course DS 408 taught by Professor Theresam.roeder during the Spring '12 term at S.F. State.

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Good Report Sample - M/M/s queue report Theresa M Roeder...

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