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Property of Fluctuations of Sales Quantities by Product Category in Convenience Stores

The ability to ascertain the extent of product sale fluctuations for each store and locality is indispensable to inventory management. This study analyzed POS data from 158 convenience stores in Kawasaki City, Kanagawa Prefecture, Japan and found a power scaling law between the mean and standard dev...

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Detalles Bibliográficos
Autores principales: Fukunaga, Gaku, Takayasu, Hideki, Takayasu, Misako
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4911113/
https://www.ncbi.nlm.nih.gov/pubmed/27310915
http://dx.doi.org/10.1371/journal.pone.0157653
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author Fukunaga, Gaku
Takayasu, Hideki
Takayasu, Misako
author_facet Fukunaga, Gaku
Takayasu, Hideki
Takayasu, Misako
author_sort Fukunaga, Gaku
collection PubMed
description The ability to ascertain the extent of product sale fluctuations for each store and locality is indispensable to inventory management. This study analyzed POS data from 158 convenience stores in Kawasaki City, Kanagawa Prefecture, Japan and found a power scaling law between the mean and standard deviation of product sales quantities for several product categories. For the statistical domains of low sales quantities, the power index was 1/2; for large sales quantities, the power index was 1, so called Taylor’s law holds. The value of sales quantities with changing power indixes differed according to product category. We derived a Poissonian compound distribution model taking into account fluctuations in customer numbers to show that the scaling law could be explained theoretically for most of items. We also examined why the scaling law did not hold in some exceptional cases.
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spelling pubmed-49111132016-07-06 Property of Fluctuations of Sales Quantities by Product Category in Convenience Stores Fukunaga, Gaku Takayasu, Hideki Takayasu, Misako PLoS One Research Article The ability to ascertain the extent of product sale fluctuations for each store and locality is indispensable to inventory management. This study analyzed POS data from 158 convenience stores in Kawasaki City, Kanagawa Prefecture, Japan and found a power scaling law between the mean and standard deviation of product sales quantities for several product categories. For the statistical domains of low sales quantities, the power index was 1/2; for large sales quantities, the power index was 1, so called Taylor’s law holds. The value of sales quantities with changing power indixes differed according to product category. We derived a Poissonian compound distribution model taking into account fluctuations in customer numbers to show that the scaling law could be explained theoretically for most of items. We also examined why the scaling law did not hold in some exceptional cases. Public Library of Science 2016-06-16 /pmc/articles/PMC4911113/ /pubmed/27310915 http://dx.doi.org/10.1371/journal.pone.0157653 Text en © 2016 Fukunaga et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Fukunaga, Gaku
Takayasu, Hideki
Takayasu, Misako
Property of Fluctuations of Sales Quantities by Product Category in Convenience Stores
title Property of Fluctuations of Sales Quantities by Product Category in Convenience Stores
title_full Property of Fluctuations of Sales Quantities by Product Category in Convenience Stores
title_fullStr Property of Fluctuations of Sales Quantities by Product Category in Convenience Stores
title_full_unstemmed Property of Fluctuations of Sales Quantities by Product Category in Convenience Stores
title_short Property of Fluctuations of Sales Quantities by Product Category in Convenience Stores
title_sort property of fluctuations of sales quantities by product category in convenience stores
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4911113/
https://www.ncbi.nlm.nih.gov/pubmed/27310915
http://dx.doi.org/10.1371/journal.pone.0157653
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