Verification of exponential distribution of arrival and service times at municipal solid waste facilities

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 R2 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.