In order to estimate the number of gasoline station, I will break down it to 2 components: number of gas station = total of gas consumption per day / total gas pump of each gas station per day
To estimate total gas consumption, I will have 3 assumptions:
1/ Total population of Paris is 2 million
2/ Age range % population: 0 -> 18 years old: 20%, 18 -> 60 years old: 60%, > 60 years old: 20%
3/ Gas consumption per person per day for each age range:
+ 0 -> 18 years old and > 60 years old is 0 due to driving capability
+ 18 -> 60 years old is 1 litre per day
Total gas consumption calculation:
+ Total population of 18 -> 60 years old is 2,000,000 * 60% = 1,200,000 people
+ Total population of 0 -> 18 years old is 2,000,000 * 20% = 400,000 people
+ Total population of 0 -> 60 years old is 2,000,000 * 20% = 400,000 people
+ Total consumption of gas in Paris per day is 400,000*0 + 1,200,000 * 1 + 400,000*0 = 1,200,000 litre
To estimate total productivity of each gas station, I will have 3 assumptions:
1/ Productivity per working day:
+ 8:00 -> 16:00: 60% capacity (high traffic)
+ 6:00 -> 8:00 and 16:00 -> 22:00: 40% capacity (low traffic)
+ 22:00 -> 24:00 and 0:00 -> 6:00: 10% capacity (low and no traffic at mid night)
2/ Number of gas pump per gas station is 5
3/ Speed per gas pump is 1 litre/ 10 second
Total productivity per gas station calculation:
Speed per gas station: speed per gas pump * number of gas pump per gas station = 5 * 1 = 5 litre/ 10 second
Total working hour with high traffic time range: 8 * 60% = 4.8 hours
Total working hour with low traffic time range: 8* 40% = 3.2 hours
Total working hour with low and no traffic at mid night time range: 8*12.5% = 1 hour
Total working hour per day: 4.8 + 3.2 + 1 = 9 hour
Total productivity per gas station per day: 9 * 5 * 6 * 60 = 45 * 3600 = 16,200 litre
Total number of gas station at Paris: 1,200,000/ 16,200 = 74 gas stations
