The improved design of warehouse layouts is an important factor affecting the operational efficiency of e-commerce warehouses and distribution centers. On the basis of the traditional warehouse layout, this paper takes the shelf placement angle as the starting point to study the Chevron warehouse layout and constructs the area utilization model of the Chevron warehouse layout under the random storage strategy to investigate the influence of the shelf placement angle and picking aisle width on the warehouse area utilization. The stochastic model of S-shape and return routing strategies in the warehouse with Chevron layout is constructed, and the approximation is verified and is compared with the simulation. The numerical experimental results show that in the Chevron layout warehouse, the change in shelf placement angle has a small impact on the effective storage area utilization, with a difference of 0.5\% (horizontal shelf placement) and 1.6\% (vertical shelf placement) compared with the traditional layout, and the routing strategy can be further studied under the Chevron layout. When the angle is close to half of the diagonal of the warehouse, the walking distance of both the return strategy and the S-shape strategy reach their respective minimum values, and the S-shape strategy has better results.