Oilfield management includes obtaining a binary variable array describing configurable elements of an oilfield design, partitioning the binary variable array into subgroups, and applying a transformation function to each subgroup to obtain an integer variable for each subgroup. An optimization problem is solved on the binary variable array by treating the integer variable as a continuous variable to obtain a solution, and the transformation function of each subgroup is applied to the solution to obtain a design pattern. Based on the design pattern, the oilfield design is generated.