Forest Management: A Multicommodity Flow Formulation and Sensitivity Analysis
将森林管理问题转化为多商品网络流问题，再简化为单商品流，利用已有结果进行敏感性分析，帮助管理者应对火灾或价格变化，无需重新计算。
We formulate the Forest Management Problem as a Multicommodity Network Flow Problem with a convex cost function. We then show how to transfer the problem to an equivalent Single-Commodity Network Flow formulation in order to address several sensitivity analysis questions using results by Granot and Veinott (Granot, F., A. F. Veinott, Jr. 1985. Substitutes, complements and ripples in network flows. Math. Oper. Res. 10 471–497.). The answers can subsequently be used to help forest managers respond to changes in the environment such as fires or changes in market prices, without any additional computation. Furthermore, the characterization of the response we provide requires no prior knowledge of optimal management policies.