Simulation projects using SimEvents toolbox

Simulation projects using SimEvents toolbox 1) Call center The diagram below represents a model of a call center that sells tickets for local baseball team. Upon calling, a customer first connects to an interactive voice response (IVR) system (node A, "If you would like to buy single game tickets, press 1. .. "). There are two possible choices: (1) purchase single-game tickets or (2) purchase multi game ticket packages. (Customers who do not select any option effectively return to the IVR to start over.) Based on the selection, the customer is then transferred to either the single game sales representatives (node B) or the multigame sales representative (node C). After selecting tickets, customers are transferred to another set of representatives (node D) to handle credit card payments. (From nodes B and C, customers may also choose to be transferred to the other set of agents to select more tickets before paying.) There is 1 representative at node B, 1 at node C, and 1 at node D. The IVR system can handle an arbitrarily large number of calls simultaneously. The service rates at each node are A=120 per hour, B=30 per hour, C=10 per hour, and D =30 per hour. The arrival rate to the center is =30 calls per hour. The transition probabilities are shown in the diagram. NOTE: (propabilities that do not sum to I indicate the possibility of abandonment). (a) Calculate the average number of customers in the system