Waiting Line Models, Decision Analysis and Forecasting...

1) WAITING LINE MODELS -AMC Movie Theatre has only one box office clerk. For the movie theatre's normal offerings, customers arrive at the average rate of 3 per minute. On the average, each customer who comes to see a movie can be sold a ticket at the rate of 6 per minute. Assume arrivals follow the Poisson distribution and service times follow exponential distribution. A) What is the probability that no customers are in the system? B) What is the average number of customers waiting in line? C) What is the average time a customer spends in the waiting line? D) Do the operating characteristics indicate that the one-clerk system provides an acceptable level of service? Explain your th... click for more

Linear Programming Questions

A) What are 2 possible ways to improve the service rate of a waiting line operation? B) Briefly describe how simulation could be used to assist decision makers in regards to new product development? C) Give an example of how Decision analysis could be used to determine an optimal strategy? Briefly describe several decision alternatives a decision maker would be faced with and possible uncertain future events to consider. D) What is the difference between quantitative forecasting methods and qualitative forecasting methods? E) Under what circumstances would it be more appropriate to use quantitative rather than qualitative forecasting methods? F) Give an example of a situati... click for more

Linear Programming Model

Destination Source Business Education Parsons Hall Holmstedt Hall Supply BakerHall 10 9 5 2 35 Tirey Hall 12 11 1 6 10 Arena 15 14 7 6 20 Demand 12 20 10 10 1a. If you were going to write this as a linear programming model, how many decision variables would there be, and how many constraints would there be? 1b. How many projectors are moved from Baker to Business? 1c. How many projectors are moved from Tirey to Parsons? 1d. How many projectors are moved from the Arena to Education? 1e. Which site(s) has (have) projectors left?

V = null T @ range T

Prove that if T belong to L(V) THEN V = null T @ range T (with @ is direct Sum)

Trace proof

Suppose T in L(V). Prove that if trace(ST) = 0 for all S in L(V), then T = 0.