Queuning Modelling on The Performance of Automated Teller Machine (ATM) In Uba Lokoja, Kogi State

U. M. Sani, S.M. Michael, Olokojo V.o and Ahiaba Mathias
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U. M. Sani: Department of Statistics, School of Applied Sciences, Kogi State Polytechnic Lokoja. P.M.B. 1101 Lokoja, Kogi State.
S.M. Michael: Department of Statistics, School of Applied Sciences, Kogi State Polytechnic Lokoja. P.M.B. 1101 Lokoja, Kogi State.
Olokojo V.o: Department of Statistics, School of Applied Sciences, Kogi State Polytechnic Lokoja. P.M.B. 1101 Lokoja, Kogi State.
Ahiaba Mathias: Department of Statistics, School of Applied Sciences, Kogi State Polytechnic Lokoja. P.M.B. 1101 Lokoja, Kogi State.

International Journal of Research and Innovation in Applied Science, 2024, vol. 9, issue 4, 342-355

Abstract: This paper work investigates the performance of United Bank for Africa (UBA) Automated Teller Machine (ATMs) using M/M/S queue model. The data collected for this work was for a period of five working days (Monday-Friday), 10 hours was considered from (8.00am-5.00pm). The result showed that the average time a customer spent waiting in the system is 1.13 hours which is equivalent to 6.41 minutes and the utilization of factor is 0.28, It was observed that the machines have busy time 0f 2.80 hours while the idle time of the machines is 7.20 hours out of the 10 hours considered in each day and the probability of no. customer in the queue is 0.56, though there are four ATM machines in the location but 2 were considered in this paper work. The result indicates that the service delivery by the machine is efficient and fast, and addition of ATM is not required in the location. However, we recommend that adequate maintenance of the machine should be routinely carried out to ensure efficient and good service delivery.

Date: 2024
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