European Journal of Operational Research 66 (1993) 135-147 135
North-Holland
Theory and Methodology
Batching policies for a repair shop
with limited spares and finite capacity
Richard C.H. Chua
Andersen Consulting, 45 South Seventh Street, Minneapolis, MN 55402, USA
Gary D. Scudder
Vanderbilt Uniuersity, Owen Graduate School of Management, 401 Twenty-First Auenue South, Nashville,
TN 37203, USA
Arthur V. Hill
Curtis L. Carlson School of Management, 271 19-th Auenue South, University of Minnesota, Minneapolis,
MN 55455, USA
Received January 1990; revised April 1991
Abstract: Efficient batching for repair is essential to minimizing the 'equipment downtime' experienced
by end-users when a repairable product fails. In this paper, the batching problem for a repair shop with
limited spares and finite capacity is formulated and batching policies are developed. The performance of
these policies is examined in a simulation model of a hypothetical repair shop. A policy called
'SP-WBPT' performed very well in all the environments tested. In this policy, the size of the batch is the
number of failed parts of that part type waiting to be repaired. Batch selection is based on the shortest
batch processing time per part, weighted by the number of available spares.
Keywords: Batching; Repairables; Scheduling; Simulation
1. Introduction
For expensive products such as aircraft en-
gines and military equipment, repair is often more
economical than disposal in the event of break-
down. Equipment set-up for repair work can ac-
count for a major portion of the repair time. In
many repair shops, batching of parts for repair is
Correspondence to: Gary D. Scudder, Vanderbilt University,
Owen Graduate School of Management, 401 Twenty-First
Avenue South, Nashville, TN 37203, USA.
essential to minimize the 'downtime' experienced
by the end-user.
We illustrate the repair process with batching
in Figure 1. When a failed unit (such as an
aircraft engine) arrives, the failure is diagnosed
and the unit is disassembled in the diagnosis/dis-
assembly station. Assuming the failure of the unit
(engine) is caused by the failure of a single part,
the failed part is identified, removed from the
rest of the unit, and routed through the repair
center according to the repair requirements. In
the meantime, the incomplete unit awaits re-
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