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Title:
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CONCEPTUAL FRAMEWORK ON USE OF GENERATING FUNCTIONS FOR MODELLING THE PAYMENT PROCESS AT CASH REGISTER |
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Author(s):
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Detlef Hartleb, Andreas Ahrens and Jelena Zascerinska |
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ISBN:
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978-989-8704-26-9 |
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Editors:
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Piet Kommers and Pedro Isaías |
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Year:
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2021 |
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Edition:
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Single |
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Keywords:
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Payment Process at the Cash Register, Queueing, Bottlenecks, Burstiness, Gap Processes, Generating Function |
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Type:
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Short |
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First Page:
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269 |
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Last Page:
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274 |
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Language:
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English |
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Cover:
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Full Contents:
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click to dowload 
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Paper Abstract:
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Queuing at the cash register still remains an issue that increases customers' dissatisfaction. Many researchers focused their
efforts on preventing a queue through the advancement of the efficiency of technical equipment for the payment processing.
Analysis of the payment process has not received a proper attention from the scientific community. The aim of this paper
is to present the conceptual framework on the use of generating functions for modelling the payment process at the cash
register. The methodological foundation of the work is based on binary customer behavior. The theoretical interconnections
between the payment process at the cash register, queuing, bottlenecks, burstiness, gap processes, generating
function established by the authors serve as the conceptual framework on the use of generating functions for modelling the
payment process at the cash register. The conceptual framework proposed by the authors allows analyzing the payment
process as the combination of the processes of buyers' waiting to the cash register described by free time intervals between
buyers as well as the payment processing time (also referred as buyers' service time). Generating functions were used for
the analysis of the free time intervals between buyers to the cash register as a part of the payment process. Directions of
further research are formulated. |
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