Working
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Incentives
for Quality through Endogenous Routing
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Paper (PDF 587 K / 39 pages)
Lauren
Xiaoyuan Lu, Jan A. Van Mieghem, R. Canan Savaskan
July 14, 2006
Abstract
We consider
quality control and rework routing policies of a firm implementing
piece rate compensation. When a worker generates a defect,
rework is conventionally assigned to the originating worker
(in a self routing scheme) or to another worker dedicated
to rework (in a dedicated routing scheme). In contrast,
a novel cross routing scheme allocates any
worker's defects to a parallel worker performing both new
jobs and rework. All the workers receive the piece rate paid
per job upon passing quality inspection or at rework completion.
We compare the incentives of these different rework routing
schemes by embedding quality control and routing of a multi-class
queueing network in a principal-agent model. We show that
conventional self routing of rework can never include first-best
effort. Dedicated and cross routing, however, can lead to
higher profits for the principal and improve incentives for
quality by imposing an implicit punishment for quality failure.
In addition, cross routing leads to workload allocation externalities
and a prisoner's dilemma between the two parallel workers,
thereby creating the highest incentives for quality. In general,
cross routing generates the highest profit rate when appraisal,
internal failure, or external failure costs are high, while
self routing performs best when gross margins or disutilities
of effort are high.
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