IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v319y2024i3p808-819.html
   My bibliography  Save this article

Investment allocation in an adjustment-cost production technology framework for two-stage network structures

Author

Listed:
  • An, Qingxian
  • Zhu, Kefan
  • Xiong, Beibei

Abstract

Effective resource allocation can assist organizations in utilizing infinite resources, thereby improving efficiency and productivity. For an organization, investment is an essential production resource, and how to appropriately allocate investment is one of the most important decisions they need to make. This study aims to rationally allocate investment across each stage of two-stage network structure under two scenarios. We first propose general investment allocation model with adjustment costs to efficiently allocate investments across each stage. Then, given a fixed total investment, we use the DEA-based fixed cost allocation method to achieve the optimal allocation across stages, and we also incorporate two cooperative and noncooperative relationships between two stages. Additionally, capital stock efficiency is defined to analyze the relationship between optimal and actual capital stocks, clarifying the degree to which the optimal capital stock is reached. Finally, the proposed approach is applied to 14 A-share listed companies in China, and suggestions on the optimal amount of investment allocation and capital stock required are provided to facilitate organizational production.

Suggested Citation

  • An, Qingxian & Zhu, Kefan & Xiong, Beibei, 2024. "Investment allocation in an adjustment-cost production technology framework for two-stage network structures," European Journal of Operational Research, Elsevier, vol. 319(3), pages 808-819.
    • Handle: RePEc:eee:ejores:v:319:y:2024:i:3:p:808-819
    DOI: 10.1016/j.ejor.2024.07.012
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221724005472
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2024.07.012?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Yao Wen & Qingxian An & Junhua Hu & Xiaohong Chen, 2022. "DEA game for internal cooperation between an upper-level process and multiple lower-level processes," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 73(9), pages 1949-1960, October.
    2. Stefanou, Spiro E. & Silva, Elvira, 2007. "AJAE Appendix: Dynamic Efficiency Measurement: Theory and Application," American Journal of Agricultural Economics APPENDICES, Agricultural and Applied Economics Association, vol. 89(2), pages 1-19, May.
    3. Kapelko, Magdalena & Oude Lansink, Alfons & Stefanou, Spiro E., 2014. "Assessing dynamic inefficiency of the Spanish construction sector pre- and post-financial crisis," European Journal of Operational Research, Elsevier, vol. 237(1), pages 349-357.
    4. Treadway, Arthur B., 1970. "Adjustment costs and variable inputs in the theory of the competitive firm," Journal of Economic Theory, Elsevier, vol. 2(4), pages 329-347, December.
    5. Qingxian An & Kefan Zhu & Beibei Xiong & Zhiyang Shen, 2023. "Carbon resource reallocation with emission quota in carbon emission trading system," Post-Print hal-03974850, HAL.
    6. Fang, Lei, 2013. "A generalized DEA model for centralized resource allocation," European Journal of Operational Research, Elsevier, vol. 228(2), pages 405-412.
    7. Laurens Cherchye & Bram De Rock & Bart Dierynck & Filip Roodhooft & Jeroen Sabbe, 2013. "Opening the “Black Box” of Efficiency Measurement: Input Allocation in Multioutput Settings," Operations Research, INFORMS, vol. 61(5), pages 1148-1165, October.
    8. Rungsuriyawiboon, Supawat & Stefanou, Spiro E., 2007. "Dynamic Efficiency Estimation: An Application to U.S. Electric Utilities," Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 226-238, April.
    9. Beasley, J. E., 2003. "Allocating fixed costs and resources via data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 147(1), pages 198-216, May.
    10. Hamidi, Maryam & Liao, Haitao & Szidarovszky, Ferenc, 2016. "Non-cooperative and cooperative game-theoretic models for usage-based lease contracts," European Journal of Operational Research, Elsevier, vol. 255(1), pages 163-174.
    11. 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.
    12. Tsionas, Mike G. & Malikov, Emir & Kumbhakar, Subal C., 2020. "Endogenous dynamic efficiency in the intertemporal optimization models of firm behavior," European Journal of Operational Research, Elsevier, vol. 284(1), pages 313-324.
    13. Arvid Raknerud & Dag Rønningen & Terje Skjerpen, 2007. "A Method for Improved Capital Measurement by Combining Accounts and Firm Investment Data. A revised version," Discussion Papers 365, Statistics Norway, Research Department.
    14. Frederic Ang & Alfons Oude Lansink, 2018. "Decomposing dynamic profit inefficiency of Belgian dairy farms," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 45(1), pages 81-99.
    15. Jesus Felipe & J. S. L. Mccombie, 2007. "On the Rental Price of Capital and the Profit Rate: The Perils and Pitfalls of Total Factor Productivity Growth," Review of Political Economy, Taylor & Francis Journals, vol. 19(3), pages 317-345.
    16. McLaren, Keith R & Cooper, Russel J, 1980. "Intertemporal Duality: Application to the Theory of the Firm," Econometrica, Econometric Society, vol. 48(7), pages 1755-1762, November.
    17. Niels Christian Petersen, 1990. "Data Envelopment Analysis on a Relaxed Set of Assumptions," Management Science, INFORMS, vol. 36(3), pages 305-314, March.
    18. Falavigna, Greta & Ippoliti, Roberto & Manello, Alessandro & Ramello, Giovanni B., 2015. "Judicial productivity, delay and efficiency: A Directional Distance Function (DDF) approach," European Journal of Operational Research, Elsevier, vol. 240(2), pages 592-601.
    19. Fukuyama, Hirofumi & Mirdehghan, S.M., 2012. "Identifying the efficiency status in network DEA," European Journal of Operational Research, Elsevier, vol. 220(1), pages 85-92.
    20. An, Qingxian & Wen, Yao & Ding, Tao & Li, Yongli, 2019. "Resource sharing and payoff allocation in a three-stage system: Integrating network DEA with the Shapley value method," Omega, Elsevier, vol. 85(C), pages 16-25.
    21. Juan Du & Joe Zhu & Wade D. Cook & Jiazhen Huo, 2015. "DEA Models for Parallel Systems: Game-Theoretic Approaches," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(02), pages 1-22.
    22. Dakpo, K Hervé & Lansink, Alfons Oude, 2019. "Dynamic pollution-adjusted inefficiency under the by-production of bad outputs," European Journal of Operational Research, Elsevier, vol. 276(1), pages 202-211.
    23. 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.
    24. Barnabé Walheer, 2020. "Output, input, and undesirable output interconnections in data envelopment analysis: convexity and returns-to-scale," Annals of Operations Research, Springer, vol. 284(1), pages 447-467, January.
    25. Araujo, Ricardo Azevedo, 2004. "Optimal human investment allocation," Economics Letters, Elsevier, vol. 85(1), pages 71-76, October.
    26. 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.
    27. Zhong, Wei & Yuan, Wei & Li, Susan X. & Huang, Zhimin, 2011. "The performance evaluation of regional R&D investments in China: An application of DEA based on the first official China economic census data," Omega, Elsevier, vol. 39(4), pages 447-455, August.
    28. Fukuyama, Hirofumi & Tsionas, Mike & Tan, Yong, 2023. "Dynamic network data envelopment analysis with a sequential structure and behavioural-causal analysis: Application to the Chinese banking industry," European Journal of Operational Research, Elsevier, vol. 307(3), pages 1360-1373.
    29. Russell W. Cooper & John C. Haltiwanger, 2006. "On the Nature of Capital Adjustment Costs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(3), pages 611-633.
    30. Ang, Sheng & Liu, Pei & Yang, Feng, 2020. "Intra-Organizational and inter-organizational resource allocation in two-stage network systems," Omega, Elsevier, vol. 91(C).
    31. Pal, Debdatta & Mitra, Subrata K., 2016. "An application of the directional distance function with the number of accidents as an undesirable output to measure the technical efficiency of state road transport in India," Transportation Research Part A: Policy and Practice, Elsevier, vol. 93(C), pages 1-12.
    32. Sueyoshi, Toshiyuki & Yuan, Yan, 2015. "China's regional sustainability and diversified resource allocation: DEA environmental assessment on economic development and air pollution," Energy Economics, Elsevier, vol. 49(C), pages 239-256.
    33. Arabmaldar, Aliasghar & Sahoo, Biresh K. & Ghiyasi, Mojtaba, 2023. "A generalized robust data envelopment analysis model based on directional distance function," European Journal of Operational Research, Elsevier, vol. 311(2), pages 617-632.
    34. Raymond W. Goldsmith, 1951. "A Perpetual Inventory of National Wealth," NBER Chapters, in: Studies in Income and Wealth, Volume 14, pages 5-73, National Bureau of Economic Research, Inc.
    35. Tao Ding & Ya Chen & Huaqing Wu & Yuqi Wei, 2018. "Centralized fixed cost and resource allocation considering technology heterogeneity: a DEA approach," Annals of Operations Research, Springer, vol. 268(1), pages 497-511, September.
    36. 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.
    37. Liu, Fengqi & Kang, Yuxin & Guo, Kun & Sun, Xiaolei, 2021. "The relationship between air pollution, investor attention and stock prices: Evidence from new energy and polluting sectors," Energy Policy, Elsevier, vol. 156(C).
    38. Arvid Raknerud & Dag Rønningen & Terje Skjerpen, 2007. "A Method For Improved Capital Measurement By Combining Accounts And Firm Investment Data," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 53(3), pages 397-421, September.
    39. Liang Liang & Feng Yang & Wade Cook & Joe Zhu, 2006. "DEA models for supply chain efficiency evaluation," Annals of Operations Research, Springer, vol. 145(1), pages 35-49, July.
    40. Shih-Hsun Hsu & Ching-Cheng Chang, 1990. "An Adjustment-Cost Rationalization of Asset Fixity Theory," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 72(2), pages 298-308.
    41. Liang Liang & Wade D. Cook & Joe Zhu, 2008. "DEA models for two‐stage processes: Game approach and efficiency decomposition," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(7), pages 643-653, October.
    42. Aparicio, Juan & Kapelko, Magdalena, 2019. "Accounting for slacks to measure dynamic inefficiency in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 278(2), pages 463-471.
    43. Larry G. Epstein, 1981. "Duality Theory and Functional Forms for Dynamic Factor Demands," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(1), pages 81-95.
    44. Guo-Ya Gan & Hsuan-Shih Lee, 2021. "Resolving the infeasibility of the super-efficiency DEA based on DDF," Annals of Operations Research, Springer, vol. 307(1), pages 139-152, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Aparicio, Juan & Kapelko, Magdalena, 2019. "Accounting for slacks to measure dynamic inefficiency in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 278(2), pages 463-471.
    2. Tsionas, Mike & Patel, Pankaj C. & Guedes, Maria João, 2022. "Endogenous efficiency of the dynamic profit maximization in the intertemporal production models of venture behavior," International Journal of Production Economics, Elsevier, vol. 246(C).
    3. Aparicio, Juan & Kapelko, Magdalena & Ortiz, Lidia, 2023. "Enhancing the measurement of firm inefficiency accounting for corporate social responsibility: A dynamic data envelopment analysis fuzzy approach," European Journal of Operational Research, Elsevier, vol. 306(2), pages 986-997.
    4. Dakpo, K Hervé & Lansink, Alfons Oude, 2019. "Dynamic pollution-adjusted inefficiency under the by-production of bad outputs," European Journal of Operational Research, Elsevier, vol. 276(1), pages 202-211.
    5. Magdalena Kapelko, 2019. "Measuring productivity change accounting for adjustment costs: evidence from the food industry in the European Union," Annals of Operations Research, Springer, vol. 278(1), pages 215-234, July.
    6. Frederic Ang & Pieter Jan Kerstens, 2023. "Robust nonparametric analysis of dynamic profits, prices and productivity: An application to French meat-processing firms," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 50(2), pages 771-809.
    7. Silva, Elvira & Magalhães, Manuela, 2023. "Environmental efficiency, irreversibility and the shadow price of emissions," European Journal of Operational Research, Elsevier, vol. 306(2), pages 955-967.
    8. 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.
    9. Saeideh Fallah-Fini & Konstantinos Triantis & Andrew Johnson, 2014. "Reviewing the literature on non-parametric dynamic efficiency measurement: state-of-the-art," Journal of Productivity Analysis, Springer, vol. 41(1), pages 51-67, February.
    10. Magdalena Kapelko, 2017. "Dynamic versus static inefficiency assessment of the Polish meat‐processing industry in the aftermath of the European Union integration and financial crisis," Agribusiness, John Wiley & Sons, Ltd., vol. 33(4), pages 505-521, September.
    11. Tomas Baležentis & Alfons Oude Lansink, 2020. "Measuring dynamic biased technical change in Lithuanian cereal farms," Agribusiness, John Wiley & Sons, Ltd., vol. 36(2), pages 208-225, April.
    12. Jean Joseph Minviel & Timo Sipiläinen, 2018. "Dynamic stochastic analysis of the farm subsidy-efficiency link: evidence from France," Journal of Productivity Analysis, Springer, vol. 50(1), pages 41-54, October.
    13. Magdalena Kapelko & Alfons Oude Lansink, 2018. "Managerial and program inefficiency for European meat manufacturing firms: A dynamic multidirectional inefficiency analysis approach," Journal of Productivity Analysis, Springer, vol. 49(1), pages 25-36, February.
    14. 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.
    15. Zhu, Liyun & Schneider, Kevin & Oude Lansink, Alfons, 2023. "Economic, environmental, and social inefficiency assessment of Dutch dairy farms based on the dynamic by-production model," European Journal of Operational Research, Elsevier, vol. 311(3), pages 1134-1145.
    16. Encarna Guillamon-Saorin & Magdalena Kapelko & Spiro E. Stefanou, 2018. "Corporate Social Responsibility and Operational Inefficiency: A Dynamic Approach," Sustainability, MDPI, vol. 10(7), pages 1-26, July.
    17. Huettel, Silke & Narayana, Rashmi & Odening, Martin, 2011. "Measuring dynamic efficiency under uncertainty," Structural Change in Agriculture/Strukturwandel im Agrarsektor (SiAg) Working Papers 129062, Humboldt University Berlin, Department of Agricultural Economics.
    18. Engida, Tadesse Getacher & Rao, Xudong & Oude Lansink, Alfons G.J.M., 2020. "A dynamic by-production framework for analyzing inefficiency associated with corporate social responsibility," European Journal of Operational Research, Elsevier, vol. 287(3), pages 1170-1179.
    19. Kapelko, Magdalena & Oude Lansink, Alfons, 2017. "Dynamic multi-directional inefficiency analysis of European dairy manufacturing firms," European Journal of Operational Research, Elsevier, vol. 257(1), pages 338-344.
    20. Frederic Ang & Pieter Jan Kerstens, 2016. "To Mix or Specialise? A Coordination Productivity Indicator for English and Welsh farms," Journal of Agricultural Economics, Wiley Blackwell, vol. 67(3), pages 779-798, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:319:y:2024:i:3:p:808-819. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.