Analysis of Queueing System and Impact of Digital Payments in Supermarket

Sadhna Singh; R. K. Srivastava; Amendra Singh

doi:https://doi.org/10.14445/22315373/IJMTT-V66I5P515

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 5 | Year 2020 | Article Id. IJMTT-V66I5P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I5P515

Analysis of Queueing System and Impact of Digital Payments in Supermarket

Sadhna Singh, R. K. Srivastava, Amendra Singh

Citation :

Sadhna Singh, R. K. Srivastava, Amendra Singh, "Analysis of Queueing System and Impact of Digital Payments in Supermarket," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 5, pp. 106-116, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I5P515

Abstract

This paper deals with digital payments and cash payments in supermarket. Initially we take two counters for comparison of digital and cash payments. The first counters for digital payments and the second for cash payments and calculate billing times from both counters. Our aim is to reducing the customers waiting time by increasing the number of servers according to the conditions, both digital and cash payments. The analysis of various parameters of the queueing system, calculate utilization factor, service rate, arrival rate, calculate idle bill payment counter, customer satisfaction rates, and waiting time. After analyzing the parameters of the parameters of queueing system model, it is observed that digital payments save time.

Keywords

Digital payment, Cash payment, Utilization factor, Percentage of idle bill counter, Waiting time, M/M/C model.

References

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