ABSTRACT Nexus represents the interrelationship among multiple systems. Simultaneous optimization of interdependent sources is essential to ensure optimum production to satisfy demands. To optimize the nexus between two interdependent systems, a multi‐objective linear programming problem is formulated, and a graphical technique is proposed in this work. The proposed method simultaneously determines the minimum production of both sources needed for demand satisfaction. The graphical approach applies the principles of pinch analysis to solve the multi‐objective two‐dimensional nexus problems. A Pareto‐optimal point, recognized as the pinch point for such problems, is identified. The maximum extent to which the external demand of any source can be produced using the existing systems is also identified. Four illustrative examples demonstrate the applicability of the proposed method. The proposed methodology can be used for the optimal design and planning of a two‐dimensional nexus system. Highlights A graphical method is proposed to optimize two‐dimensional nexus systems. The simultaneous optimization of two sources leads to a single Pareto point. The proposed method identifies the maximum external demand of any source. The versatility of the method is demonstrated through multiple applications.
Prabhakar et al. (Wed,) studied this question.