Question 1

Question 2

Question 3

Question 4

For the following systems determine if they are discrete or continuous. Briefly justify your answer for each: i.A hospital ii.A satellite that is orbiting around earth. iii.A hydrogen bomb iv.A fast food restaurant We use a Linear Congruential Generator (LCG) to produce a random number RN. i. What is the probability of RN0.2 ? iii. What is the probability of 0.52 ? v. What is the probability of RN>0.99 ? We have made the system of a production line that works full 24 hours for 7 days a week. We wanted to estimate the average queuing time of parts before a machine and for this reason we built a simulation model. i. Would you characterise this model as terminating or non-terminating? Justify your answer. ii. Would you expect this model to be stochastic or deterministic? Justify your answer. iii. Would you use a warm up period for this model? Justify your answer. For the following systems state whether you think a terminating or nonterminating simulation would be more appropriate. In the terminating cases, state the terminating event. i. A hospital that functions 24 hours per day and we want to calculate the average percentage of patients that get cured. ii. A pub calls for last orders at 23.30. Then the pub will stay open until all the customers have consumed their last drink. iii. A soccer game. iv. A hotel where we want to calculate the arrival time of the 1000th customer