Journal of Applied Mathematics and Decision Sciences
Volume 2005 (2005), Issue 3, Pages 137-147
doi:10.1155/JAMDS.2005.137
Reciprocal service department cost allocation and decision making
California State University, Hayward 94542, CA, USA
Received 12 June 2001; Revised 10 August 2004
Copyright © 2005 Franklin Lowenthal and Massoud Malek. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In a manufacturing company, certain departments can be
characterized as production departments and others as service
departments. Examples of service departments are purchasing,
computing services, repair and maintenance, security, food
services, and so forth. The costs of such service departments must
be allocated to the production departments, which in turn will
allocate them to the product. It is known that one can view the
cost allocation problem as an absorbing Markov process, with the
production departments as the absorbing states and the service
departments as the transient states. Using Markov analysis, we
will show that this yields additional insight into the underlying
concept of reciprocal service department cost allocation by
proving that the “full service” department costs can be used to
determine the price that should be paid to an external supplier of
the same service currently supplied by the service department.