Year: 2023
Type: article
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.
Authors: Sulaiman Sani, Mlamuli W. Malindzisa
Institution: University of Eswatini
Language: English
Field: Decision Sciences
Domain: Social Sciences
Open Access status: hybrid
OpenAlex ID: W4385897052