## Centers-of-gravity calculator gas calculator

######

The case contains 590 customer locations throughout Europe. grade 6 electricity unit plan There are two predefined warehouses, one in the UK (Birmingham, cannot move) and one in Spain (Madrid, may move within 200km range). Both locations can move freely if "predefined warehouse locations" is unchecked. electricity lessons for 5th grade They also have certain capacities, which are ignored if you uncheck "capacity limits". Customers in UK/Ireland have been assigned to the Birmingham warehouse, customers in Spain/Portugal to the Madrid warehouse. These assignments are ignored if you uncheck "fixed customer-warehouse assignments". electricity orlando All customers have a group set equal to their country 2-digit code, effectively meaning all customers of a country are assigned to a single warehouse only (no country is being delivered from multiple warehouses), unless you uncheck "customer groups". All supply in the demo case comes from harbour Rotterdam, The Netherlands, so Centers-of-Gravity will tend to move into that direction. The higher the supplier transport costs ratio, the more they tend towards Rotterdam. gas meter in spanish Unless you uncheck "supply", in which case the Centers-of-Gravity are based on demand only. electricity bill cost per month The more freedom – initially zero in the demo case – the more solutions may start tot differ from each other, as depicted in the run score chart. You add more freedom, by simply unchecking constraints. gas bubbles in colon Of course, you can also adjust the number of warehouses.

Demand Centers-of-Gravity are those locations that minimize the sum of weighted distances. Weighted distance is the as-the-crow-flies-distance from warehouse to customer multiplied by demand. gas 10 8 schlauchadapter E.g. if customer A has a demand of 10 and is located 25 km from its warehouse the weighted distance is 250 km. Summing over all customers gives the sum of weighted distances as an indicator for transport costs. gas density calculator It is a relative figure, not an absolute cost figure. The Centers-of-Gravity algorithm minimizes its value by moving warehouses.

Implicit assumption: transport cost = rate/km × distance. So minimal transport kilometers come with minimal transport costs (and minimal Green House Gas emissions). This assumption is partly valid. E.g. parcel rates are distance independent within a country, FTL pallet rate/km is lower than LTL pallet rate (you may adjust demands for this in your input), macro-economic imbalance cause direction-dependent rates, et cetera.

The sum of weighted distances belonging to the current warehouse setup and customer assignments can be compared to the sum of weighted distances of alternative setups. The ratio between those indicators combined with a current customer transport costs figure will provide a rough estimation of how much can be saved on customer transport by changing the supply chain network structure.

This inital Center-of-Gravity is often presented as optimal, but this is not true! Imagine there are only two customers, customer A with demand 10 at position (0 , 0) and B with demand 1 at position (100 , 0). If the Center-of-Gravity moves a distance d towards customer A the goal value improves 10 × d (closer to A) − 1 × d (further from B) = 9 × d. So the optimal position is on top of customer A, not at (9.09 , 0) as given by the formula. The optimal Center-of-Gravity has a goal value of (0×10+100×1) = 100, whereas the initial Center-of-Gravity at (9.09 , 0) has a much higher value of (9.09×10+90.91×1)=182, so 82% higher costs.