North Coast Bank: Final Analysis and Recommendations (Part 3)
i) Type of service system configuration
Staffing levels for each hour and each day for the remaining part of year depends of the type of system chosen and level of service.
From the analysis in Part 2 (see below), one can see that the single line has lower overall waiting time in the system when compared to the two line system. However, each line is perceived to have fewer customers. If the management wants to reduce waiting time, they should use a single line system.
For example, Peak Hour Analysis for Monday (Average Arrival Rate of 625/day)
Consider Monday’s Arrival Rate at 5-6 p.m.:
Total = 247.9/hr (where Comm. = 42.3/hr; Non-Commercial = 205.6/hr.)
Service Rate
All Customers: 20.90/hr; Comm = 10.19/hr; Non-Comm. = 28.35/hr.
First Consider Scenario Two: Two Dedicated Queues System
Commercial Customers: Minimum # of tellers required = 5.
M/M/5 System: Ws = 10 minutes 9 seconds; Ls = 7.15 customers
Note: Since the standard deviation of the service time is significantly less than the mean, we would expect the actual Ws to be less 10 minutes and 9 seconds.
Non-Commercial Customers: Minimum # of tellers required = 8.
M/M/8 System: Ws = 4 min. 9 seconds; Ls = 14.23 customers.
Total average number of customers (commercial and non-commercial),
Ls = 7.15+14.23 = 21.38 customers
Now Consider Scenario One: One Queue System
# of tellers = 5+8 = 13.
M/M/13 System: Ws = 4 min. 33 seconds; Ls = 18.82 customers
ii) Number of tellers, both part-time and full-time, to recommend for the remaining year and the timing of the hire of these tellers.
See the forecast of demand for each month and each day in solutions to Part 1 and service processes in Part 2.