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Input Price Variation Across Locations and a Generalized Measure of Cost Efficiency

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  • Subhash C. Ray

    (University of Connecticut)

  • Lei Chen

    (University of Connecticut)

  • Kankana Mukherjee

    (Worcester Polytechnic Institute)

Abstract

We propose a nonparametric model for global cost minimization as a framework for optimal allocation of a firm's output target across multiple locations, taking account of differences in input prices and technologies across locations. This should be useful for firms planning production sites within a country and for foreign direct investment decisions by multi-national firms. Two illustrative examples are included. The first example considers the production location decision of a manufacturing firm across a number of adjacent states of the US. In the other example, we consider the optimal allocation of US and Canadian automobile manufacturers across the two countries.

Suggested Citation

  • Subhash C. Ray & Lei Chen & Kankana Mukherjee, 2008. "Input Price Variation Across Locations and a Generalized Measure of Cost Efficiency," Working papers 2008-11, University of Connecticut, Department of Economics.
  • Handle: RePEc:uct:uconnp:2008-11
    Note: The authors are grateful to William W. Cooper for insightful comments and suggestions for improvement on an earlier version of the manuscript. Responsibility for errors remains with the authors.
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    References listed on IDEAS

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    1. E. Grifell-Tatjé & C.A.K. Lovell, 2000. "Cost and productivity," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 21(1), pages 19-30.
    2. Fuss,Melvyn A. & Waverman,Leonard, 1992. "Costs and Productivity in Automobile Production," Cambridge Books, Cambridge University Press, number 9780521341417.
    3. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    4. Tulkens, Henry & Vanden Eeckaut, Philippe, 1995. "Non-parametric efficiency, progress and regress measures for panel data: Methodological aspects," European Journal of Operational Research, Elsevier, vol. 80(3), pages 474-499, February.
    5. Rajiv Banker & Hsihui Chang & Ram Natarajan, 2007. "Estimating DEA technical and allocative inefficiency using aggregate cost or revenue data," Journal of Productivity Analysis, Springer, vol. 27(2), pages 115-121, April.
    6. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    7. Subhash C. Ray & Kankana Mukherjee, 2000. "Decomposition of Cost Competitiveness in U.S. Manufacturing: Some State-by-State Comparisons," Indian Economic Review, Department of Economics, Delhi School of Economics, vol. 35(2), pages 133-153, July.
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    Citations

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    Cited by:

    1. Subhash C. Ray, 2014. "Branching Efficiency in Indian Banking: An Analysis of a Demand-Constrained Network," Working papers 2014-34, University of Connecticut, Department of Economics.
    2. Portela, Maria Conceição A. Silva & Thanassoulis, Emmanuel, 2014. "Economic efficiency when prices are not fixed: disentangling quantity and price efficiency," Omega, Elsevier, vol. 47(C), pages 36-44.
    3. Hien Thu Pham & Antonio Peyrache, 2015. "Industry Inefficiency Measures: A Unifying Approximation Proposition," CEPA Working Papers Series WP102015, School of Economics, University of Queensland, Australia.
    4. Ke Wang & Yujiao Xian & Chia-Yen Lee & Yi-Ming Wei & Zhimin Huang, 2017. "On selecting directions for directional distance functions in a non-parametric framework: A review," CEEP-BIT Working Papers 99, Center for Energy and Environmental Policy Research (CEEP), Beijing Institute of Technology.
    5. Ray, Subhash, 2016. "Cost efficiency in an Indian bank branch network: A centralized resource allocation model," Omega, Elsevier, vol. 65(C), pages 69-81.
    6. Peyrache, Antonio, 2015. "Cost constrained industry inefficiency," European Journal of Operational Research, Elsevier, vol. 247(3), pages 996-1002.
    7. Silva Portela, Maria Conceição A., 2014. "Value and quantity data in economic and technical efficiency measurement," Economics Letters, Elsevier, vol. 124(1), pages 108-112.
    8. Leleu, Hervé & Briec, Walter, 2009. "A DEA estimation of a lower bound for firms' allocative efficiency without information on price data," International Journal of Production Economics, Elsevier, vol. 121(1), pages 203-211, September.
    9. Subhash Ray, 2012. "Productivity Change over Time and the Dynamics of Cost Competitiveness: A Nonparametric Analysis of U.S. Manufacturing Data," Working papers 2012-39, University of Connecticut, Department of Economics.
    10. Peyrache, Antonio & Zago, Angelo, 2016. "Large courts, small justice!," Omega, Elsevier, vol. 64(C), pages 42-56.

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    Keywords

    Cost minimization; Data Envelopment Analysis; Heterogeneous technology; Location efficiency;

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