Yh. Chung et al., PRODUCTIVITY AND UNDESIRABLE OUTPUTS - A DIRECTIONAL DISTANCE FUNCTION-APPROACH, Journal of environmental management, 51(3), 1997, pp. 229-240
Undesirable outputs are often produced together with desirable outputs
. This joint production of good and bad outputs is typically ignored i
n traditional measures of productivity since ''prices'' are typically
unavailable for bad outputs. Here we introduce a directional distance
function and use it as a component in a new productivity index that re
adily models joint production of goods and bads, credits firms for red
uctions in bads and increases in goods, and does not require shadow pr
ices of bad outputs. This index, as an empirical example shows, solves
the problem caused by the joint production of good and bad outputs, a
nd provides a practical managerial tool. (C) 1997 Academic Press Limit
ed.