Verification of exponential distribution of arrival and service times at municipal solid waste facilities |
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Authors: | Ronald L Mersky |
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Institution: | (1) Department of Environmental Engineering, Faculty of Engineering, Kasetsart University, 50 Phaholyothin Road, Bangkok, 10900, Thailand;(2) Environmental Engineering and Management Program, Asian Institute of Technology, P.O. Box 4, Klong Luang, Pathumthani, 12120, Thailand; |
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Abstract: | Vehicle queuing at municipal solid waste (MSW) facilities causes economic and environmental damage. In the United States,
typical MSW receiving facilities (transfer, recycling, energy recovery, and landfill) have three queues: one at the entrance
weighing station, one at the waste tipping location, and one at the exit weighing station. A common method of determining
queue behavior relies on equations that assume exponentially distributed arrival and service times, but there has not been
a comprehensive study to determine whether this assumption is valid for a variety of MSW facilities and conditions. In this
study, data were gathered from two transfer stations, two energy recovery plants, and one transfer/landfill facility. Among
the five facilities there was a variety of queuing styles. The data were plotted as an inverse exponential relationship and
linearized. The linearized plots were regressed and R
2 values were calculated. It was determined that the negative exponential relationship can be used to describe arrival times
at all three queues and service times at weighing queues. The queuing equations are therefore theoretically supported for
use at entering and exiting weighing queues and moderately theoretically supported for use at tipping queues. |
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