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Journal of Applied Mathematics and Computation

ISSN Print: 2576-0645 Downloads: 126136 Total View: 1656067
Frequency: quarterly ISSN Online: 2576-0653 CODEN: JAMCEZ
Email: jamc@hillpublisher.com
Article http://dx.doi.org/10.26855/jamc.2023.06.009

Ergodic Characteristics of Payment Points under the Slow Second Cashier Problem

Sulaiman Sani*, Mlamuli W. Malindzisa

Department of Mathematics, FOSE, University of Eswatini, Kwaluseni Campus-Kwaluseni, Kingdom of Eswatini.

*Corresponding author: Sulaiman Sani

Published: July 31,2023

Abstract

We study the slow second cashier problem of payment points with two cashiers and provide the analysis that minimizes both the violation of the First Come First Served payment discipline (FCFS) and ergodic characteristics vital for operations management respective of decision making when it is operationally optimal to balance the work rate of the slow second cashier. Initially, a non-FCFS payment schedule whose operational characteristics identify the most suitable payment point and present vital performance measures for balancing payments is con-structed using ergodic theory coupled with the Markov property of the payment system. Our result shows that in a given payment period, there exists real ergodic points to which one of these points is operationally optimal. In addition, these points contain vital information needed for the overall management of payment systems globally. Finally, we state vital characteristics of the optimal ergodic point for the sake of operations management of payment centers.

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How to cite this paper

Ergodic Characteristics of Payment Points under the Slow Second Cashier Problem

How to cite this paper: Sulaiman Sani, Mlamuli W. Malindzisa. (2023) Ergodic Characteristics of Payment Points under the Slow Second Cashier Problem. Journal of Applied Mathematics and Computation7(2), 280-287.

DOI: https://dx.doi.org/10.26855/jamc.2023.06.009