Abstract #301421

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JSM 2002 Abstract #301421
Activity Number: 358
Type: Contributed
Date/Time: Wednesday, August 14, 2002 : 2:00 PM to 3:50 PM
Sponsor: Section on Physical & Engineering Sciences*
Abstract - #301421
Title: A Simple Linear Boolean Model for Assessing Mass Flow
Author(s): Jason Osborne*+
Affiliation(s): North Carolina State University
Address: Campus Box 8203, Raleigh, North Carolina, 27695-8203,
Keywords: queueing ; renewal theory ; maximum likelihood ; conditional inference ; method of moments ; poisson process
Abstract:

For aerial application of granular fertilizers and pesticides, knowledge of the amount of material flowing from the aircraft can help guide even distribution over a field. A system has recently been developed to help measure mass flow in aerial spreader ducts. The system involves an optical sensor that turns off and on as particles flow through the duct. Clumps occur when multiple particles pass the sensor before a space between particles is encountered. The data then consist of a sequence of on and off periods. If particle arrivals constitute a Poisson process, lengths of particles are independent of this arrival process and particles begin passage through the duct immediately upon arrival, the system forms an infinite-server M/G queue. Of interest is quantification of the number of particles which pass through the duct and are applied to the target region below. Several approaches, method-of-moments, and likelihood-based approaches towards estimation of this quantity are developed.

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Revised March 2002