Skip to main content

Two Quadratic Programming Acquisition Models with Reciprocal Services

  • Conference paper
Cost Analysis Applications of Economics and Operations Research

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 332))

  • 116 Accesses

Abstract

The use of the cost allocation and external acquisition models has centered on the linear programming cost allocation (LPCA) models (Baker and Taylor, 1974; Manes, Park and Jensen, 1982; Chen, 1983; Yang and Pineno, 1984A) and the simultaneous equation approach (Ijiri, 1968; Livingstone, 1969; Kaplan, 1973; Capettini and Salamon, 1977; Yang, 1988). The LP approaches, while being extremely operationally efficient (the number of iterations needed in the simplex method can be found in Dantzig (1980)), have a property of being insensitive to exogenous shock administered to the model. This property and other characteristics of LPCA are discussed in the next section. The difficulty associated with the simultaneous equation approach lies in the fact that the solution may not be positive (Yang, 1988) and hence may not have a reasonable interpretation.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Baker, K. R. and R. E. Taylor, “A Linear Programming Framework for Cost Allocation and External Acquisition When Reciprocal Services Exist,” The Accounting Review, (October, 1979), pp. 784–790.

    Google Scholar 

  • Capettini, R. and G. L. Salamon, “Internal Versus External Acquisition of Services When Reciprocal Services Exist,” The Accounting Review (July, 1977), pp. 690–698

    Google Scholar 

  • Chen, Joyce T., “Cost Allocation and External Acquisition of Services When Self-Services Exist,” The Accounting Review (July, 1983), pp. 600–605.

    Google Scholar 

  • Cuiter, L. and D. S. Pass, A Computer Program for Quadratic Mathematical Models Involving Linear Constraints Rand Report, R-516-PR, (June, 1971).

    Google Scholar 

  • Danzig, G. B., “Expected Number of Steps of the Simplex Method for a Linear Program with a Convexity Constraint,” Technical Report SOL 80–3, Stanford University (1980).

    Google Scholar 

  • Gass, S. I., Linear Programming: Methods and Applications 5th edition, New York: McGraw-Hill Book Company, 1985.

    Google Scholar 

  • Ijiri, Y., “An Application of Input-Output Analysis to Some Problems in Cost Accounting,” Management Accounting (April, 1968), pp. 49–61.

    Google Scholar 

  • Irwin, C. L. and C. W. Yang, “Iteration and Sensitivity for a Spatial Equilibrium Problem With Linear Supply and Demand Functions,” Operations Research Vol. 30, No. 2, (March-April, 1982), pp. 319–335.

    Google Scholar 

  • Kaplan, R. S., “Variable and Self-Service Costs in Reciprocal Allocation Models,” The Accounting Review (October, 1973), pp. 738–748.

    Google Scholar 

  • Livingstone, J. L., “Input-Output Analysis for Cost Accounting, Planning and Control,” The Accounting Review (January, 1969), pp. 48–64.

    Google Scholar 

  • Luenberger, D. G., Introduction to Linear and Nonlinear Programming Addison-Wesley Publishing Company, Inc., (Reading, MA), 1973.

    Google Scholar 

  • Manes, R. P., S. H. Park and R. Jensen, “Relevant Cost of Intermediate Goods and Services,” Accounting Review (July, 1982), pp. 594–606.

    Google Scholar 

  • Yang, C. W. and C. Pineno, “A Nonlinear Programming Model for External Acquisition With Reciprocal Services,” Northeast AIDS Proceedings: The Award-Winning Theoretical Paper (1984), pp. 1–2.

    Google Scholar 

  • Yang, C. W., “Theory of Nonnegative Matrix and the Simultaneous Equation Approach in the Cost Allocation Model,” (Working Paper, 1988).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag New York, Inc.

About this paper

Cite this paper

Yang, CW., McNamara, J.B. (1989). Two Quadratic Programming Acquisition Models with Reciprocal Services. In: Gulledge, T.R., Litteral, L.A. (eds) Cost Analysis Applications of Economics and Operations Research. Lecture Notes in Economics and Mathematical Systems, vol 332. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-6384-2_20

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-6384-2_20

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97048-6

  • Online ISBN: 978-1-4684-6384-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics