To calculate the centre of gravity, start with the following information, where population is given in thousands. Find the target area’s centre of gravity for the Health-care medical facility. Details of seven census tract centers, coordinate distances along with the population for each centre are given below. Two locations being considered for the new facility are at (5.5, 4.5) and (7, 2), which are the centers of census tracts C and F. Customers will travel from the seven census tract centre s to the new facility when they need health- care. The table given below shows the coordinates for the centre of each census tract, along with the projected populations, measured in thousands. The new Health-care facility is targeted to serve seven census tracts in Delhi. Where C x = x-coordinate of the centre of gravityĬ y = y-coordinate of the centre of gravity The centre of gravity is determined by the formula.Ĭ X = ∑D ix.W i/∑W i and C Y = ∑D iy.W i/∑W i This can be easily done by placing a grid over an ordinary map. The origin of the coordinate system and scale used are arbitrary, just as long as the relative distances are correctly represented. Centre of gravity method of location planning This method merely indicates the ideal location in the grid-map that would ensure that the weighted distances. The first step in this procedure is to place the locations on a coordinate system. The one employed by the National Ocean Survey is probably best termed as the center-of-gravity method. Where the lines cross is the center of gravity. As a result, the best location can be determined quite quickly. By adding neighborhood search into algorithm, it will find a better location in comparison to gravity model solution. Hang map of Louisiana on a peg through the desired hole. Even though, the gravity model may not reflect real distance to demand area for distribution center but it is a very fast method in determining its location. The centre of gravity is defined to be the location that minimizes the weighted distance between the warehouse and its supply and distribution points, where the distance is weighted by the number of tones supplied or consumed. Several methods of approach are available. Determine center of gravity with plumb line on an irregular shape or Map of Louisiana. The centre of gravity method takes into account the locations of plants and markets, the volume of goods moved, and transportation costs in arriving at the best location for a single intermediate warehouse. Use the center of gravity method to select the better. The sites are comparable on every key factor The one remaining factor is the center of gravity. This method can be used to assist managers in balancing cost and service objectives. An analysis of sites for a distribution center has led to two possible stes (L1and L2 on the map. Centre of gravity is based primarily on cost considerations.