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Activity Number:
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604
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Type:
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Contributed
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Date/Time:
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Thursday, August 6, 2009 : 10:30 AM to 12:20 PM
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Sponsor:
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Section on Physical and Engineering Sciences
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| Abstract - #303472 |
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Title:
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Waiting Time in the Sequential Occupancy Problem
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Author(s):
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Tamar Gadrich*+ and Rachel Ravid
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Companies:
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Ort Braude College and Ort Braude College
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Address:
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P.O. Box 78, Karmiel, 21982, Israel
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Keywords:
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Bose-Einstein statistics ; Indistinguishable items ; Generating function ; Waiting time ; Sequential trials ; Group throwing
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Abstract:
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Occupancy problems models are constructed and used to analyze randomized phenomena. The models can be classified as one of three categories, each of which corresponds to a well-known physical system: Maxwell-Boltzmann (MB), Bose-Einstein (BE) or Fermi Dirac (FD) statistics. We studied the case of sequential trials using a BE model in each trial (i.e., a group of indistinguishable balls were thrown into distinguishable cells with unlimited capacity). We focused on the waiting time until each cell will be occupied by at least one ball. Decomposition of the waiting time in terms of the number of new fulfilled cells per trial is achieved by the usage of recursive generating probability functions. An application of SQC to the machine's arms that produced the same products gathered in the same collecting zone (products have no mark identifying the machine arms that produced them) is given.
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