The attainable region (AR) is a region in a performance space in which all physically realizable reactor network designs must exist. ARs have been used since the 1960s for solving reactor network synthesis problems. The benefits of these methods are that the feasibility of a performance target can be assessed prior to running a synthesis routine, the solutions they give are guaranteed to be physically realizable, and they are amenable to convex optimization. In this article, the theory of attainable regions is extended to bring these benefits to the heat exchanger network (HEN) synthesis problem, with constant thermophysical properties and no stream splits. The HENS problems of the optimal outlet stream temperature and the minimum utility usage problems are linear optimization problems, solvable by simplex search with $n-1$ state variables for an n-stream problem. The quality of solutions regarding number and size of heat exchangers is discussed, with examples.

可达到区域（AR）是性能空间中必须存在所有物理上可实现的反应堆网络设计的区域。自1960年代以来，AR被用于解决反应堆网络综合问题。这些方法的好处是，可以在运行综合例程之前评估性能目标的可行性，并保证所提供的解决方案在物理上可以实现，并且可以进行凸优化。在本文中，扩展了可到达区域的理论，以将这些好处带给热交换器网络（HEN）合成问题，具有恒定的热物理性质且没有流分裂。最佳出口物流温度和最小公用事业使用率问题的HENS问题是线性优化问题，可通过使用$ñ-\mathrm{1个}$n流问题的状态变量。通过示例讨论了有关热交换器数量和尺寸的解决方案质量。