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Profit Luenberger and Malmquist-Luenberger indexes for multi-activity decision making units: the case of the star-rated hotel industry in China

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  • Walheer, Barnabé

    (Division of Economics, Xi'an Jiaotong-Liverpool University)

  • Zhang, Linjia

    (Division of Economics, Xi'an Jiaotong-Liverpool)

Abstract

Due to the vigorous economic development of the tourism industry in China, the number of star-rated hotels has rapidly increased. As a result, techniques to evaluate the performances of the star-rated hotels have gained in popularity. In this paper, we develop two indexes for dynamic settings: the profit Luenberger and Malmquist-Luenberger indexes. The distinguishing features of our indexes are three-fold. One, we adopt an economic perspective by considering that hotels are profit maximizers. Two, we model hotels as multi-activity decision making units by considering that they provide multiple services. Three, our indexes are nonparametric, and work when prices are partially observed. We apply our technique to 30 provinces in 2005-2015. We find that star-rated hotels present better performances over time, but not for every activity. Next, we highlight particular patterns for the provinces. These results are useful for managers to better target their investments, and also for policy makers.

Suggested Citation

  • Walheer, Barnabé & Zhang, Linjia, 2018. "Profit Luenberger and Malmquist-Luenberger indexes for multi-activity decision making units: the case of the star-rated hotel industry in China," RIEI Working Papers 2018-06, Xi'an Jiaotong-Liverpool University, Research Institute for Economic Integration.
    • Handle: RePEc:xjt:rieiwp:2018-06
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    as
    1. Fernandez C. & Koop G. & Steel M.F.J., 2002. "Multiple-Output Production With Undesirable Outputs: An Application to Nitrogen Surplus in Agriculture," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 432-442, June.
    2. Ferreira, Jose T.A.S. & Steel, Mark F.J., 2007. "Model comparison of coordinate-free multivariate skewed distributions with an application to stochastic frontiers," Journal of Econometrics, Elsevier, vol. 137(2), pages 641-673, April.
    3. Ding, Jingjing & Dong, Wei & Liang, Liang & Zhu, Joe, 2017. "Goal congruence analysis in multi-Division Organizations with shared resources based on data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 263(3), pages 961-973.
    4. Du, Juan & Cook, Wade D. & Liang, Liang & Zhu, Joe, 2014. "Fixed cost and resource allocation based on DEA cross-efficiency," European Journal of Operational Research, Elsevier, vol. 235(1), pages 206-214.
    5. 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.
    6. Walheer, Barnabé, 2018. "Disaggregation of the cost Malmquist productivity index with joint and output-specific inputs," Omega, Elsevier, vol. 75(C), pages 1-12.
    7. 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.
    8. Krüger, Jens & Hampf, Benjamin, 2015. "Optimal Directions for Directional Distance Functions: An Exploration of Potential Reductions of Greenhouse Gases," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 77007, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    9. Fernandez, Carmen & Koop, Gary & Steel, Mark, 2000. "A Bayesian analysis of multiple-output production frontiers," Journal of Econometrics, Elsevier, vol. 98(1), pages 47-79, September.
    10. Leleu, Hervé, 2013. "Inner and outer approximations of technology: A shadow profit approach," Omega, Elsevier, vol. 41(5), pages 868-871.
    11. Walheer, Barnabé, 2016. "Growth and convergence of the OECD countries: A multi-sector production-frontier approach," European Journal of Operational Research, Elsevier, vol. 252(2), pages 665-675.
    12. Bosetti, Valentina & Cassinelli, Mariaester & Lanza, Alessandro, 2006. "Benchmarking in Tourism Destination, Keeping in Mind the Sustainable Paradigm," Natural Resources Management Working Papers 12156, Fondazione Eni Enrico Mattei (FEEM).
    13. Yu, Ming-Miin & Chern, Ching-Chin & Hsiao, Bo, 2013. "Human resource rightsizing using centralized data envelopment analysis: Evidence from Taiwan's Airports," Omega, Elsevier, vol. 41(1), pages 119-130.
    14. Lau, Lawrence J, 1972. "Profit Functions of Technologies with Multiple Inputs and Outputs," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 281-289, August.
    15. Maria Francesca Cracolici & Peter Nijkamp & Miranda Cuffaro, 2007. "Efficiency and Productivity of Italian Tourist Destinations: A Quantitative Estimation Based on Data Envelopment Analysis and the Malmquist Method," Springer Books, in: Álvaro Matias & Peter Nijkamp & Paulo Neto (ed.), Advances in Modern Tourism Research, chapter 0, pages 325-343, Springer.
    16. Cherchye, Laurens & De Rock, Bram & Walheer, Barnabé, 2016. "Multi-output profit efficiency and directional distance functions," Omega, Elsevier, vol. 61(C), pages 100-109.
    17. Núñez-Serrano, Juan A. & Turrión, Jaime & Velázquez, Francisco J., 2014. "Are stars a good indicator of hotel quality? Assymetric information and regulatory heterogeneity in Spain," Tourism Management, Elsevier, vol. 42(C), pages 77-87.
    18. A. Georges Assaf & Frank W. Agbola, 2011. "Modelling the Performance of Australian Hotels: A DEA Double Bootstrap Approach," Tourism Economics, , vol. 17(1), pages 73-89, February.
    19. Boussemart, Jean-Philippe & Crainich, David & Leleu, Hervé, 2015. "A decomposition of profit loss under output price uncertainty," European Journal of Operational Research, Elsevier, vol. 243(3), pages 1016-1027.
    20. Cherchye, Laurens & Van Puyenbroeck, Tom, 2007. "Profit efficiency analysis under limited information with an application to German farm types," Omega, Elsevier, vol. 35(3), pages 335-349, June.
    21. Cherchye, Laurens & Rock, Bram De & Walheer, Barnabé, 2015. "Multi-output efficiency with good and bad outputs," European Journal of Operational Research, Elsevier, vol. 240(3), pages 872-881.
    22. Madanoglu, Melih & Ozdemir, Ozgur, 2016. "Is more better? The relationship between meeting space capacity and hotel operating performance," Tourism Management, Elsevier, vol. 52(C), pages 74-81.
    23. Zhang, Linjia & Botti, Laurent & Petit, Sylvain, 2016. "Destination performance: Introducing the utility function in the mean-variance space," Tourism Management, Elsevier, vol. 52(C), pages 123-132.
    24. Färe, Rolf & Pasurka, Carl & Vardanyan, Michael, 2017. "On endogenizing direction vectors in parametric directional distance function-based models," European Journal of Operational Research, Elsevier, vol. 262(1), pages 361-369.
    25. Robert G. Chambers, 2002. "Exact nonradial input, output, and productivity measurement," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(4), pages 751-765.
    26. Juo, Jia-Ching & Fu, Tsu-Tan & Yu, Ming-Miin, 2012. "Non-oriented slack-based decompositions of profit change with an application to Taiwanese banking," Omega, Elsevier, vol. 40(5), pages 550-561.
    27. Noelia Oses & Jon Kepa Gerrikagoitia & Aurkene Alzua, 2016. "Modelling and prediction of a destination’s monthly average daily rate and occupancy rate based on hotel room prices offered online," Tourism Economics, , vol. 22(6), pages 1380-1403, December.
    28. Fernandez, Carmen & Koop, Gary & Steel, Mark F.J., 2005. "Alternative efficiency measures for multiple-output production," Journal of Econometrics, Elsevier, vol. 126(2), pages 411-444, June.
    29. Barnabé Walheer, 2016. "Multi-Sector Nonparametric Production-Frontier Analysis of the Economic Growth and the Convergence of the European Countries," Pacific Economic Review, Wiley Blackwell, vol. 21(4), pages 498-524, October.
    30. Sahoo, Biresh K. & Mehdiloozad, Mahmood & Tone, Kaoru, 2014. "Cost, revenue and profit efficiency measurement in DEA: A directional distance function approach," European Journal of Operational Research, Elsevier, vol. 237(3), pages 921-931.
    31. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    32. Wade Cook & Moez Hababou & Hans Tuenter, 2000. "Multicomponent Efficiency Measurement and Shared Inputs in Data Envelopment Analysis: An Application to Sales and Service Performance in Bank Branches," Journal of Productivity Analysis, Springer, vol. 14(3), pages 209-224, November.
    33. Barnabé Walheer, 2018. "Cost Malmquist productivity index: an output-specific approach for group comparison," Journal of Productivity Analysis, Springer, vol. 49(1), pages 79-94, February.
    34. Sahoo, Biresh K. & Tone, Kaoru, 2013. "Non-parametric measurement of economies of scale and scope in non-competitive environment with price uncertainty," Omega, Elsevier, vol. 41(1), pages 97-111.
    35. Li, Yongjun & Yang, Feng & Liang, Liang & Hua, Zhongsheng, 2009. "Allocating the fixed cost as a complement of other cost inputs: A DEA approach," European Journal of Operational Research, Elsevier, vol. 197(1), pages 389-401, August.
    36. Ozren Despić & Mladen Despić & Joseph Paradi, 2007. "DEA-R: ratio-based comparative efficiency model, its mathematical relation to DEA and its use in applications," Journal of Productivity Analysis, Springer, vol. 28(1), pages 33-44, October.
    37. Nehring, Klaus & Puppe, Clemens, 2004. "Modelling cost complementarities in terms of joint production," Journal of Economic Theory, Elsevier, vol. 118(2), pages 252-264, October.
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    2. Hai Dong & Nicolas Peypoch & Linjia Zhang, 2020. "Do contextual factors matter? Evidence from Chinese hotel productivity with heterogeneity," Tourism Economics, , vol. 26(2), pages 257-275, March.
    3. Hai Dong & Qi-Bin Liang & Nicolas Peypoch, 2023. "Tourist attractions in efficiency analysis," Tourism Economics, , vol. 29(3), pages 835-841, May.
    4. Yu, Ming-Miin, 2020. "Nerlovian profit inefficiency in non-fully-competitive settings: Definition and decomposition," Omega, Elsevier, vol. 90(C).
    5. Sinwoo Lee & Dong-Woon Noh & Dong-hyun Oh, 2018. "Characterizing the Difference between Indirect and Direct CO 2 Emissions: Evidence from Korean Manufacturing Industries, 2004–2010," Sustainability, MDPI, vol. 10(8), pages 1-16, August.
    6. Walheer, Barnabé, 2023. "Meta-frontier and technology switchers: A nonparametric approach," European Journal of Operational Research, Elsevier, vol. 305(1), pages 463-474.
    7. Barnabé Walheer, 2019. "Disaggregation for efficiency analysis," Journal of Productivity Analysis, Springer, vol. 51(2), pages 137-151, June.
    8. Walheer, Barnabé & Zhang, Linjia & Luo, Yingchan, 2020. "Bidirectional technological spillover in the Chinese star-rated hotel sector: An empirical investigation," Economic Modelling, Elsevier, vol. 86(C), pages 210-226.
    9. Miao, Zhuang & Chen, Xiaodong & Baležentis, Tomas, 2021. "Improving energy use and mitigating pollutant emissions across “Three Regions and Ten Urban Agglomerations”: A city-level productivity growth decomposition," Applied Energy, Elsevier, vol. 283(C).
    10. Barnabé Walheer, 2019. "Dynamic directional nonparametric profit efficiency analysis for a single decision-making unit: an aggregation approach," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(4), pages 1123-1149, December.
    11. Pengxia Shen & Ping Yin & Bingjie Niu, 2023. "Assessing the Combined Effects of Transportation Infrastructure on Regional Tourism Development in China Using a Spatial Econometric Model (GWPR)," Land, MDPI, vol. 12(1), pages 1-18, January.
    12. 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.
    13. Walheer, Barnabe & Hudik, Marek, 2019. "Reallocation of resources in multidivisional firms: A nonparametric approach," International Journal of Production Economics, Elsevier, vol. 214(C), pages 196-205.
    14. Papaioannou, Grammatoula & Podinovski, Victor V., 2023. "Multicomponent production technologies with restricted allocations of shared inputs and outputs," European Journal of Operational Research, Elsevier, vol. 308(1), pages 274-289.
    15. Anestis Fotiadis & Guych Nuryyev & Jennet Achyldurdyyeva & Anastasia Spyridou, 2019. "The Impact of EU Sponsorship, Size, and Geographic Characteristics on Rural Tourism Development," Sustainability, MDPI, vol. 11(8), pages 1-15, April.

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    Keywords

    destination management; profit efficiency; Luenberger index; Malmquist-Luenberger index; multi-activity; hotel; China.;
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