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MSBA 7014 Business Simulation Assignment 3

Arena Modelling Practice

Note: All questions must be completed using Arena. A Word doc/pdf file containing answers/justification for each sub-question must be submitted along with the Arean .doe file.

1. Assume that customers arrive at a drive-through pharmacy window according to a Poisson distribution with a mean of 10 per hour. The time it takes the pharmacist to serve the customer is random, and past data indicates that the time is well-modelled with an exponential distribution with a mean of 3 minutes. Customers who arrive at the pharmacy are served in the order of arrival, and enough space is available within the parking area of the adjacent grocery store to accommodate any waiting customers. (5 Points)

a) Model the above scenario using Arena and report the system's key performance indices (KPIs).

b) Plot the Server Utilization and Average Waiting Time in the .doe file itself.

c) Increase the number of pharmacists to 2, 3, and 4 and report the KPIs. What happens to the server utilization in each scenario?

2. Components are arriving with IAT following N(10,2) minutes. They will be processed by a single machine, which takes 15±5 minutes (Uniform Distribution). The shortest Processing time (SPT) rule is followed for loading the components. Simulate the system for the processing of 100 components. Compare the average waiting time of components with the FCFS rule. (5 Points)