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Investment and dynamic DEA


  • Pierre Ouellette
  • Li Yan



A dynamic version of Data Envelopment Analysis (DEA) is developed in the present paper. Our model introduces investment in traditional DEA and imposes intertemporal cost minimization. Adding an intertemporal adjustment constraint into the cost minimization problem, we derive the relation between the DEA variables of the cost function and those of the primary production frontiers’ coefficients. The augmented DEA model can be solved using standard linear programming. This dynamic framework enables computing the production frontiers, measuring the productive efficiencies and evaluating the potential economies all in the presence of adjustment costs.
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Suggested Citation

  • Pierre Ouellette & Li Yan, 2008. "Investment and dynamic DEA," Journal of Productivity Analysis, Springer, vol. 29(3), pages 235-247, June.
  • Handle: RePEc:kap:jproda:v:29:y:2008:i:3:p:235-247
    DOI: 10.1007/s11123-007-0079-x

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    References listed on IDEAS

    1. Elvira Silva & Spiro E. Stefanou, 2007. "Dynamic Efficiency Measurement: Theory and Application," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 89(2), pages 398-419.
    2. Jiro Nemoto & Mika Goto, 2003. "Measurement of Dynamic Efficiency in Production: An Application of Data Envelopment Analysis to Japanese Electric Utilities," Journal of Productivity Analysis, Springer, vol. 19(2), pages 191-210, April.
    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. Elvira Silva & Spiro Stefanou, 2003. "Nonparametric Dynamic Production Analysis and the Theory of Cost," Journal of Productivity Analysis, Springer, vol. 19(1), pages 5-32, January.
    5. Nemoto, Jiro & Goto, Mika, 1999. "Dynamic data envelopment analysis: modeling intertemporal behavior of a firm in the presence of productive inefficiencies," Economics Letters, Elsevier, vol. 64(1), pages 51-56, July.
    6. Pierre Lasserre & Pierre Ouellette, 1999. "Dynamic Factor Demands and Technology Measurement under Arbitrary Expectations," Journal of Productivity Analysis, Springer, vol. 11(3), pages 219-241, June.
    7. Pierre Ouellette & Stéphane Vigeant, 2000. "A General Procedure to Recover the Marginal Products of a Cost Minimizing Firm," Journal of Productivity Analysis, Springer, vol. 14(2), pages 143-162, September.
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    Cited by:

    1. Kao, Chiang, 2013. "Dynamic data envelopment analysis: A relational analysis," European Journal of Operational Research, Elsevier, vol. 227(2), pages 325-330.
    2. Kao, Chiang, 2014. "Network data envelopment analysis: A review," European Journal of Operational Research, Elsevier, vol. 239(1), pages 1-16.
    3. Pointon, Charlotte & Matthews, Kent, 2016. "Dynamic efficiency in the English and Welsh water and sewerage industry," Omega, Elsevier, vol. 58(C), pages 86-96.
    4. Pierre Ouellette & Valérie Vierstraete, 2010. "Malmquist indexes with quasi-fixed inputs: an application to school districts in Québec," Annals of Operations Research, Springer, vol. 173(1), pages 57-76, January.
    5. Sahoo, Biresh K & Khoveyni, Mohammad & Eslami, Robabeh & Chaudhury, Pradipta, 2016. "Returns to scale and most productive scale size in DEA with negative data," European Journal of Operational Research, Elsevier, vol. 255(2), pages 545-558.
    6. repec:eee:energy:v:134:y:2017:i:c:p:392-399 is not listed on IDEAS
    7. Silva, Elvira & Lansink, Alfons Oude & Stefanou, Spiro E., 2015. "The adjustment-cost model of the firm: Duality and productive efficiency," International Journal of Production Economics, Elsevier, vol. 168(C), pages 245-256.
    8. Pointon, Charlotte & Matthews, Kent, 2016. "Reprint of: Dynamic efficiency in the English and Welsh water and sewerage industry," Omega, Elsevier, vol. 60(C), pages 98-108.
    9. Elvira Silva & Alfons Oude Lansink, 2013. "Dynamic Efficiency Measurement: A Directional Distance Function Approach," CEF.UP Working Papers 1307, Universidade do Porto, Faculdade de Economia do Porto.

    More about this item


    Adjustment cost; Data envelopment analysis; Efficiency; Multiple outputs/inputs; Quasi-fixed inputs; D24; L23;

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • L23 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Organization of Production


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