solution

Ex. 14: ABC Ltd produces an article which undergoes process A and thereafter process B. The pattern of production for both processes is shown below and you are required to simulate the activity, showing in particular the inter-process stock for the first 10 hours of operation. The opening inter-process stock is 5 units. Process A Process B Units Number of hours Units per hour Number of hours 1 20 1 25 2 30 2 40 40 3 25 4 10 4 10 per hour 3 Solution: The given distributions are converted to probability distribution are as follows: Units Produced 1 2 3 4 Process A Hours Probability Cumulative Probability 20 0.2 0.2 30 0.3 0.5 40 0.4 0.9 10 0.1 Tag Numbers 00-19 20-49 50-89 90-99 1.0 Units Produced 1 2 3 4 Process B Hours Probability Cumulative Probability 25 0.25 0.25 40 0.4 0.65 25 0.25 0.9 10 0.1 1.0 Tag Numbers 00-24 25-65 65-89 90-99 The first 10 hours simulation is shown below: Process A Random Number Completed Hours Process B Output Output Random Number 1 2 3 4 5 17 27 48 57 80 28 99 64 43 76 1 2 2 3 3 2 4 3 2 3 54 61 89 31 90 34 60 54 69 81 2 2 3 2 4 2 2 Inter-process stock 5 4 4 3 4 3 3 5 6 5 5 7 8 9 10 2 3 3 Ex. 14: ABC Ltd produces an article which undergoes process A and thereafter process B. The pattern of production for both processes is shown below and you are required to simulate the activity, showing in particular the inter-process stock for the first 10 hours of operation. The opening inter-process stock is 5 units. Process A Process B Units Number of hours Units per hour Number of hours 1 20 1 25 2 30 2 40 40 3 25 4 10 4 10 per hour 3 Solution: The given distributions are converted to probability distribution are as follows: Units Produced 1 2 3 4 Process A Hours Probability Cumulative Probability 20 0.2 0.2 30 0.3 0.5 40 0.4 0.9 10 0.1 Tag Numbers 00-19 20-49 50-89 90-99 1.0 Units Produced 1 2 3 4 Process B Hours Probability Cumulative Probability 25 0.25 0.25 40 0.4 0.65 25 0.25 0.9 10 0.1 1.0 Tag Numbers 00-24 25-65 65-89 90-99 The first 10 hours simulation is shown below: Process A Random Number Completed Hours Process B Output Output Random Number 1 2 3 4 5 17 27 48 57 80 28 99 64 43 76 1 2 2 3 3 2 4 3 2 3 54 61 89 31 90 34 60 54 69 81 2 2 3 2 4 2 2 Inter-process stock 5 4 4 3 4 3 3 5 6 5 5 7 8 9 10 2 3 3