Application of linear programming — a case study

Abstract

Summary Linear programming deals with optimization problems that can be modelled with a linear objective function subject to a set of linear constraints. The objective of these problems is either to minimize resources for a fixed level of performance, or to maximize performance at a fixed level of resources. Among all the mathematical optimization techniques, linear programming is perhaps the most used and best understood by the business and industrial community (Aguilar, 1973). Although many problems in architecture, engineering, construction and urban and regional development can be modelled with linear objective functions subject to sets of linear constraints, the application of linear programming in these fields is not common. By using a case problem — to find the best development option for a given site that yields the highest financial return to a developer — this paper demonstrates how this optimization technique can be applied in development projects as well as its potential contribution to decisi...