Algorithmic Waste Reduction

J. C. Aguma, Michael Demirev
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Abstract

Motivated by a desire for waste reduction through surplus redistribution, we explore the paradox of overproduction of resources that are wasted at several levels of the supply chain and the concurrent lack of access to, in most cases, overproduced basic resources by low income socioeconomic classes to whom resource access is normally only available through donation centers. To that end, we contrast two surplus redistribution solutions to this paradox. (1) Local independent donations between producers and donation centers. (2) Redistribution by way of a global redistributor (what we will call a core redistributor) who collects donations from all available producers and redistributes the surplus to all donation centers respective of their demanded quantities. We mathematically show that an optimal allocation of the surplus that minimizes waste and maximizes social welfare is only possible with a core redistributor. As this is a deeply social and economic problem rather than mathematical, we also qualitatively study two cases; (1) food waste and food insecurity in the UK, and (2) Los Angeles County’s project RoomKey: a pandemic effort to house covid-vulnerable unhoused persons in vacant hotels and motels. Both case studies give more support for a core redistribution as a solution to waste from overproduction and lack of access to essential resources.
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算法减少废物
在通过剩余再分配减少浪费的愿望的激励下,我们探讨了在供应链的几个层面上浪费的资源生产过剩的悖论,以及在大多数情况下,低收入社会经济阶层无法同时获得生产过剩的基本资源,他们通常只能通过捐赠中心获得资源。为此,我们对比了这一悖论的两种盈余再分配解决方案。(1)生产者与捐赠中心之间的地方自主捐赠。(2)通过全球再分配者(我们称之为核心再分配者)的方式进行再分配,该再分配者从所有可用的生产者那里收集捐赠,并根据其需求数量将剩余部分重新分配给所有捐赠中心。我们在数学上表明,只有在核心再分配者的情况下,才能实现使浪费最小化和社会福利最大化的剩余最优分配。由于这是一个深刻的社会和经济问题,而不是数学问题,我们也定性地研究了两个案例;(1)英国的食物浪费和粮食不安全;(2)洛杉矶县的RoomKey项目:一项为空置的酒店和汽车旅馆安置易受疫情影响的无家可归者的大流行努力。这两个案例研究都更加支持核心再分配,作为解决生产过剩和无法获得基本资源造成的浪费的办法。
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