A dynamic model for optimal segmentation of walls built on non-linear slopes

Walls on non-linear slopes are often built of horizontal segments each requiring the digging of a trench in which the depth increases with the length of the segment along an incline, while the effective height of the wall above ground decreases, A set of optimal segment lengths is obtained by minimizing total cost consisting of the fixed cost per segment, cost of digging a trench for each segment and cost of building the segment to reach a required effective height. A dynamic generalized cost model is developed together with a discrete approximation method which simplifies computations.