In this paper, we study the category \(\mathbb {C} (\mathrm{{Rep}}(\mathcal {Q}, \mathfrak {A}))\) of complexes of representations of quiver \(\mathcal {Q}\) with values in an abelian category \(\mathfrak {A}\). We develop a method for constructing some model structures on \(\mathbb {C} (\mathrm{{Rep}}(\mathcal {Q}, \mathfrak {A}))\) based on componentwise notion. Moreover, we also show that these model structures are monoidal. As an application of these model structures, we introduce some descriptions of the derived category of complexes of representations of \(\mathcal {Q}\) in \(\mathrm{Mod\hbox {-}}R\).

在本文中，我们研究的范畴\（\ mathbb {C}（\ mathrm {{众议员}}（\ mathcal {Q} \ mathfrak {A}））\）的表示的复合物的颤动\（\ mathcal { Q} \）中具有阿贝尔类别\（\ mathfrak {A} \）的值。我们开发了一种基于组件概念在\（\ mathbb {C}（\ mathrm {{Rep}}（\ mathcal {Q}，\ mathfrak {A}））\）上构造一些模型结构的方法。此外，我们还表明这些模型结构是单调的。由于这些模型结构的应用中，我们介绍的表示的配合物的衍生类别的一些描述\（\ mathcal {Q} \）在\（\ mathrm {国防部\ hbox中{ - }} r \） 。