In the real world, various products are displayed simultaneously on the shelf; therefore, their demands/prices affect each other. This paper aims at studying a joint economic lot-sizing model with two complementary products in a supply chain consisting of a vendor and a buyer. The vendor sends items to the buyer's warehouse in equal-size batches applying vendor-managed inventory with consignment stock policy. The buyer stocks items at the warehouse and on the shelf. Two mixed-integer nonlinear models that consider bundling and separate sales have been proposed and solved through different solution algorithms such that the profit is maximized. The concavity of both models' objective functions is investigated and the effect of considering complementation between products and bundling strategy is studied. Numerical experiments indicate that the bundle's marginal profit is greater than a single product's marginal profit. Moreover, the supply chain members can also take advantage of economies of scale in bundling sales.

在现实世界中，各种产品同时在货架上展示；因此，他们的需求/价格会相互影响。本文旨在研究一种由供应商和买方组成的供应链中具有两个互补产品的联合经济批量模型。卖方应用卖方管理的库存和寄售库存策略，以相等大小的批次将物料发送到买方的仓库。买方在仓库和架子上库存物品。提出了两个考虑捆绑销售和分开销售的混合整数非线性模型，并通过不同的求解算法对其进行求解，以使利润最大化。研究了两个模型目标函数的凹性，研究了考虑产品互补和捆绑策略的效果。数值实验表明，捆绑产品的边际利润大于单个产品的边际利润。此外，供应链成员还可以在捆绑销售中利用规模经济。