After observing heavy congestion of customers over a period of time in a petrol station, Mr....
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After observing heavy congestion of customers over a period of time in a petrol station, Mr. Anup has decided to set up a petrol pump facility on his own in his nearby site. He has complied statistics relating to the potential customer arrival pattern and service pattern as given below. He has also decided to evaluate the operations by using the simulation technique. Arrivals Services Inter-arrival time Probability Inter-arrival time Probability (minutes) (minutes) 2 0.22 4 0.28 4 0.30 6 0.40 6 0.24 8 0.22 8 0.14 10 0.10 10 0.10 Assume: (i) The clock starts at 8.00 hours (ii) Only one pump is set-up (iii) The following 12 Random Nos. are to be used to depict the customer arrival pattern 78 26 94 08 46 63 18 35 59 12 97 82 (iv) The following 12 Random Nos. are to be used to depict the service pattern 44 21 73 96 63 35 57 31 84 24 05 37 You are required to find out the (i) Probability of the pump being idle (ii) Average time spent by a customer waiting in queue. After observing heavy congestion of customers over a period of time in a petrol station, Mr. Anup has decided to set up a petrol pump facility on his own in his nearby site. He has complied statistics relating to the potential customer arrival pattern and service pattern as given below. He has also decided to evaluate the operations by using the simulation technique. Arrivals Services Inter-arrival time Probability Inter-arrival time Probability (minutes) (minutes) 2 0.22 4 0.28 4 0.30 6 0.40 6 0.24 8 0.22 8 0.14 10 0.10 10 0.10 Assume: (i) The clock starts at 8.00 hours (ii) Only one pump is set-up (iii) The following 12 Random Nos. are to be used to depict the customer arrival pattern 78 26 94 08 46 63 18 35 59 12 97 82 (iv) The following 12 Random Nos. are to be used to depict the service pattern 44 21 73 96 63 35 57 31 84 24 05 37 You are required to find out the (i) Probability of the pump being idle (ii) Average time spent by a customer waiting in queue.
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