Abstract: The growth value increment contributes to the increase of channel value. For this reason, an ameliorating and deteriorating inventory model is established with demand depending on ripeness which changes with time linearly. Then the profit models of farmers are established for two situations: fresh agricultural products(FAP)are harvested for sale at growing-finishing point and at ripe critical point. At last, the solution is obtained by optimal theory. The conclusion suggests that if FAP are harvested at ripe critical point, the farmer can get more profit; once FAP reach their critical ripeness, the farmer should stop his productive effort.

Key words: harvesting model, ameliorating and deteriorating inventory, fresh agricultural products, growth value

摘要： 生鲜农产品的生长增值性对于提升渠道价值具有重要贡献。为此,将影响生鲜农产品需求的成熟度进行数学刻画并引入增值性变质库存模型,针对生鲜农产品育成育肥后定时采收销售和达到临界成熟后适时采收销售两种情形建立了农户利润模型,求解出了最优采收销售时间。研究得出,农户适时采收销售获得的利润更大;产品达到临界成熟后,农户无需再付出生产努力。

关键词: 采收模型, 增值性变质库存, 生鲜农产品, 生长价值