Effect of upper and lower withdrawal limits on queue length

Effect of upper and lower withdrawal limits on queue length

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Article ID: iaor201110775
Volume: 218
Issue: 7
Start Page Number: 3834
End Page Number: 3846
Publication Date: Dec 2011
Journal: Applied Mathematics and Computation
Authors: , , ,
Keywords: finance & banking
Abstract:

A customer has to make transaction through a bank ATM (automated teller machine) if his withdrawal amount is less than the lower limit of withdrawal through a bank teller, or through a bank teller if his withdrawal amount is greater than the upper limit of withdrawal through an ATM. In order to decrease the long customer queue at counters, a bank increases the lower withdrawal limit and/or the upper one. Through a finite‐source queue model, this paper analyzes the effects of the lower and/or upper limits on the length of customer queue at counters. Main conclusions are: (1) A bank may simultaneously shorten the queue at counters and improve satisfaction level of customers by increasing the withdrawal limit through an ATM and/or the one through a bank teller and ameliorating waiting environment; (2) The length of the queue at counters decreases with the number of the customers who are free in selecting service provider, bank teller or ATM.

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