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Utilization and maintenance in a model with scrapping

Author

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  • Bitros, George C.
  • Flytzanis, Elias

Abstract

We consider a productive asset, called equipment or capital good, and we examine the properties of, as well as the interactions between, the operating policies, which are determined by its optimal utilization and maintenance, and the capital policy of scrapping, which defines the optimal time when the productive asset is retired from its current use. Starting with an abstract model and using the approach of optimal control, initially we characterize the various types of equipment by assigning to them a single total profit index, which indicates how the above policies affect the flow of operating revenues plus capital gains or losses. This index is a function of market-determined prices. So using it we then investigate how the operating and capital policies are influenced by the rate of discount, the price of new equipment, and the rise or fall of the price of new equipment relative to the value of its output. Among other interesting results, we find that the effects of these prices on the nature and interactions of optimal policies depend crucially on whether the equipment is of the usual profit making type, where output is the main source of revenue, or of the antique type, where the main source of revenue is capital gains.

Suggested Citation

  • Bitros, George C. & Flytzanis, Elias, 2009. "Utilization and maintenance in a model with scrapping," European Journal of Operational Research, Elsevier, vol. 194(2), pages 551-573, April.
  • Handle: RePEc:eee:ejores:v:194:y:2009:i:2:p:551-573
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    References listed on IDEAS

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    1. Bitros, G.C. & Flytzanis, E.G., 2001. "Towards A General Theory of Real Capital," Athens University of Economics and Business 126, Athens University of Economics and Business, Department of International and European Economic Studies.
    2. Malcomson, James M., 1975. "Replacement and the rental value of capital equipment subject to obsolescence," Journal of Economic Theory, Elsevier, vol. 10(1), pages 24-41, February.
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    4. Takayama,Akira, 1985. "Mathematical Economics," Cambridge Books, Cambridge University Press, number 9780521314985, April.
    5. Morton I. Kamien & Nancy L. Schwartz, 1971. "Optimal Maintenance and Sale Age for a Machine Subject to Failure," Management Science, INFORMS, vol. 17(8), pages 495-504, April.
    6. Parks, Richard W, 1979. "Durability, Maintenance and the Price of Used Assets," Economic Inquiry, Western Economic Association International, vol. 17(2), pages 197-217, April.
    7. Winston, Gordon C, 1974. "The Theory of Capital Utilization and Idleness," Journal of Economic Literature, American Economic Association, vol. 12(4), pages 1301-1320, December.
    8. John Haltiwanger & Russell Cooper & Laura Power, 1999. "Machine Replacement and the Business Cycle: Lumps and Bumps," American Economic Review, American Economic Association, vol. 89(4), pages 921-946, September.
    9. Epstein, L. & Denny, M., 1980. "Endogenous capital utilization in a short-run production model : Theory and an empiral application," Journal of Econometrics, Elsevier, vol. 12(2), pages 189-207, February.
    10. Das, Sanghamitra, 1991. "A semiparametric structural analysis of the idling of cement kilns," Journal of Econometrics, Elsevier, vol. 50(3), pages 235-256, December.
    11. repec:adr:anecst:y:2000:i:58:p:05 is not listed on IDEAS
    12. Anna Alberini & Winston Harrington & Virginia McConnell, 1995. "Determinants of Participation in Accelerated Vehicle-Retirement Programs," RAND Journal of Economics, The RAND Corporation, vol. 26(1), pages 93-112, Spring.
    13. Parks, Richard W, 1977. "Determinants of Scrapping Rates for Postwar Vintage Automobiles," Econometrica, Econometric Society, vol. 45(5), pages 1099-1115, July.
    14. Collard, Fabrice & Kollintzas, Tryphon, 2000. "Maintenance, Utilization, and Depreciation along the Business Cycle," CEPR Discussion Papers 2477, C.E.P.R. Discussion Papers.
    15. Kim, Moshe, 1988. "The Structure of Technology with Endogenous Capital Utilization," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(1), pages 111-130, February.
    16. Everson, Carol K, 1982. "Dynamic Demand for Utilization, Maintenance, Installations and Retirements of Railroad Freight Cars," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(2), pages 429-446, June.
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    Citations

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    Cited by:

    1. George Bitros, 2010. "The theorem of proportionality in contemporary capital theory: An assessment of its conceptual foundations," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 23(4), pages 367-401, December.
    2. Bitros, George C., 2009. "The Theorem of Proportionality in Mainstream Capital Theory: An Assessment of its Conceptual Foundations," MPRA Paper 17436, University Library of Munich, Germany.
    3. Bitros, George C. & Nadiri, M. Ishaq, 2017. "Elasticities of Business Investment in the U.S. and their Policy Implications: A Disaggregate Approach to Modeling and Estimation," MPRA Paper 80091, University Library of Munich, Germany.

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