发展中国家的局部水存储控制
Local Water Storage Control for the Developing World
AI总结：
本文研究了发展中国家如何通过优化水存储和排放策略，平衡成本、健康风险和水资源短缺问题。
摘要：
大多数印度城市没有全天供水的管网，因此家庭和公寓常在白天特定时段储水。然而，这些储水系统无法消毒，长期储水会导致细菌和病毒增加。本文研究了决定每日储水量和排放时间的随机控制问题，以平衡水费、健康成本、储水短缺风险和排放浪费。为此，我们开发了新的二进制动态搜索（BiDS）算法，用于解决具有受控重置和重置时间限制的随机最优控制问题。
英文摘要：
Most cities in India do not have water distribution networks that provide water throughout the entire day. As a result, it is common for homes and apartment buildings to utilize water storage systems that are filled during a small window of time in the day when the water distribution network is active. However, these water storage systems do not have disinfection capabilities, and so long durations of storage (i.e., as few as four days) of the same water leads to substantial increases in the amount of bacteria and viruses in that water. This paper considers the stochastic control problem of deciding how much water to store each day in the system, as well as deciding when to completely empty the water system, in order to tradeoff: the financial costs of the water, the health costs implicit in long durations of storing the same water, the potential for a shortfall in the quantity of stored versus demanded water, and water wastage from emptying the system. To solve this problem, we develop a new Binary Dynamic Search (BiDS) algorithm that is able to use binary search in one dimension to compute the value function of stochastic optimal control problems with controlled resets to a single state and with constraints on the maximum time span in between resets of the system.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
