Document Type
Discussion Paper
Publication Date
12-1-1997
CFDP Number
1169
CFDP Pages
38
Abstract
This paper studies how managers at automobile assembly plants organize production across time. Detailed data from eleven single-source automobile assembly plants display considerable cross-plant heterogeneity. At plants which make low- and medium-selling vehicles the capital stock often sits idle, production is more variable than sales, and weeklong shutdowns are often used to vary output. In contrast, at plants which make high-selling vehicles, the capital stock rarely sits idle, production is about as variable as sales, and over time — bit weeklong shutdowns — is most frequently used to vary output. To explain this difference in production scheduling, I formulate and solve a dynamic programming model of a plant manager. The solution to the dynamic program predicts that when sales are low, non-convexities at the plant level induce the manager to bunch production at points of low average cost; thus, the manager uses less than full capital utilization on average and makes production more volatile than sales. When sales are high, the plant operates in a convex region of the cost curve. Hence the manager employs high levels of capital utilization and makes production less volatile than sales.
Recommended Citation
Hall, George J., "Non-Convex Costs and Capital Utilization: A Study of Production Scheduling at Automobile Assembly Plants" (1997). Cowles Foundation Discussion Papers. 1417.
https://elischolar.library.yale.edu/cowles-discussion-paper-series/1417