{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,27]],"date-time":"2026-04-27T14:50:54Z","timestamp":1777301454158,"version":"3.51.4"},"reference-count":78,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2021,1,31]],"date-time":"2021-01-31T00:00:00Z","timestamp":1612051200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Previous hotel performance studies neglected the role of information entropy in feedback processes between input and output management. This paper focuses on this gap by exploring the relationship between hotel performance at the industry level and the capability of learning by doing and adopting best practices using a sample of 153 UK hotels over a 10-year period between 2008\u20132017. Besides, this research also fills a literature gap by addressing the issues of measuring hotel performance in light of negative outputs. In order to achieve this, we apply a novel Modified slack-based model for the efficiency analysis and Least Absolute Shrinkage and Selection Operator to examine the influence of entropy related variable on efficiency score. The Results indicate that less can be learnt from inputs than from outputs to improve efficiency levels and resource allocation is more balanced than cash flow and liquidity. The findings suggest that market dynamics explains the cash flow generation potential and liquidity. We find that market conditions are increasingly offering the opportunities for learning and improving hotel efficiency. The results report that the distinctive characteristic of superior performance in hotel operations is the capability to match the cash flow generation potential with market opportunities.<\/jats:p>","DOI":"10.3390\/e23020184","type":"journal-article","created":{"date-parts":[[2021,1,31]],"date-time":"2021-01-31T21:31:56Z","timestamp":1612128716000},"page":"184","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Hotel Performance in the UK: The Role of Information Entropy in a Novel Slack-Based Data Envelopment Analysis"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3482-1574","authenticated-orcid":false,"given":"Yong","family":"Tan","sequence":"first","affiliation":[{"name":"Department of Accounting, Finance and Economics, Huddersfield Business School, University of Huddersfield, Huddersfield, Queensgate HD1 3DH, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ali","family":"Jamshidi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan 19585\/466, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Abdollah","family":"Hadi-Vencheh","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan 19585\/466, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1395-8907","authenticated-orcid":false,"given":"Peter","family":"Wanke","sequence":"additional","affiliation":[{"name":"COPPEAD Graduate Business School, Federal University of Rio de Janeiro, Rio de Janeiro 21941-901, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,1,31]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1016\/j.ijhm.2013.05.010","article-title":"A customer satisfaction index model for international tourist hotels: Integrating consumption emotions into the American Customer Satisfaction Index","volume":"35","author":"Deng","year":"2013","journal-title":"Int. J. Hosp. Manag."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"784","DOI":"10.1108\/IJCHM-11-2015-0627","article-title":"Social media review rating versus traditional customer satisfaction: Which one has more incremental predictive power in explaining hotel performance","volume":"29","author":"Kim","year":"2017","journal-title":"Int. J. Contemp. Hosp. Manag."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/j.ijhm.2014.09.009","article-title":"The effect of customer voice on hotel performance","volume":"44","author":"Assaf","year":"2015","journal-title":"Int. J. Hosp. Manag."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1016\/j.ijhm.2013.05.008","article-title":"Does customer satisfaction increase firm performance? An application of American Customer Satisfaction Index","volume":"35","author":"Sun","year":"2013","journal-title":"Int. J. Hosp. Manag."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"2013","DOI":"10.1108\/IJCHM-06-2015-0290","article-title":"Effects of managerial response on consumer eWOM and hotel performance: Evidence from TripAdvisor","volume":"28","author":"Xie","year":"2016","journal-title":"Int. J. Contemp. Hosp. Manag."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Teixeira, S.J., Ferreira, J.J., Wanke, P., and Antunes JJ, M. (2019). Evaluation model of competitive and innovative tourism practices based on information entropy and alternative criteria weight. Tour. Econ., 1354816619878995.","DOI":"10.1177\/1354816619878995"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Gonzalez-Serrano, L., Talon-Ballestero, P., Munoz-Romero, S., Soguero-Ruiz, C., and Rojo-Alvarez, J.L. (2019). Entropic statistical description of big data quality in hotel customer relationship management. Entropy, 21.","DOI":"10.3390\/e21040419"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/j.ijhm.2012.04.005","article-title":"The effect of innovation on hotel market value","volume":"32","author":"Nicolau","year":"2013","journal-title":"Int. J. Hosp. Manag."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1016\/j.ijhm.2010.03.011","article-title":"Market structure and demand-side sustainability of chained urban hotel segment","volume":"30","author":"Graf","year":"2011","journal-title":"Int. J. Hosp. Manag."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1080\/02642060601038643","article-title":"The status of the small hotel firm","volume":"27","author":"Morrison","year":"2007","journal-title":"Serv. Ind. J."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1016\/j.ijhm.2011.03.011","article-title":"Effect of diversification on firm performance: Application of the entropy measure","volume":"31","author":"Park","year":"2012","journal-title":"Int. J. Hosp. Manag."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/j.ijhm.2013.01.007","article-title":"Capital structure, free cash flow, diversification and firm performance: A holistic analysis","volume":"33","author":"Park","year":"2013","journal-title":"Int. J. Hosp. Manag."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"456","DOI":"10.1016\/j.annals.2004.07.011","article-title":"Measuring efficiency in the hotel sector","volume":"32","author":"Barros","year":"2005","journal-title":"Ann. Tour. Res."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"378","DOI":"10.1108\/09596110710757543","article-title":"Measuring efficiency of the hotel and restaurant sector: The case of India","volume":"19","author":"Sanjeev","year":"2007","journal-title":"Int. J. Contemp. Hosp. Manag."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"438","DOI":"10.1016\/j.ijhm.2007.11.004","article-title":"Technical efficiency of African hotels","volume":"27","author":"Barros","year":"2008","journal-title":"Int. J. Hosp. Manag."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1016\/j.ijhm.2008.10.010","article-title":"Performance measurement of an enterprise and business units with an application to a Taiwanese hotel chain","volume":"28","author":"Chen","year":"2009","journal-title":"Int. J. Hosp. Manag."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"698","DOI":"10.1108\/09596110910975963","article-title":"Using data envelopment analysis to select strategies that improves the performance of hotel companies","volume":"21","author":"Neves","year":"2009","journal-title":"Int. J. Contemp. Hosp. Manag."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"596","DOI":"10.1016\/j.ijhm.2011.08.005","article-title":"Does Triple Bottom Line reporting improve hotel performance?","volume":"31","author":"Assaf","year":"2012","journal-title":"Int. J. Hosp. Manag."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"510","DOI":"10.1108\/09596111311322907","article-title":"Using data envelopment analysis to measure hotel efficiency in Crete","volume":"25","author":"Manasakis","year":"2013","journal-title":"Int. J. Contemp. Hosp. Manag."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1140","DOI":"10.1108\/IJCHM-01-2013-0050","article-title":"How to achieve a high efficiency level of the hotel industry","volume":"26","author":"Luo","year":"2014","journal-title":"Int. J. Contemp. Hosp. Manag."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1016\/j.ijpe.2016.03.010","article-title":"Linking operations, marketing and environmental capabilities and diversification to hotel performance: A data envelopment analysis approach","volume":"176","author":"Ramanathan","year":"2016","journal-title":"Int. J. Prod. Econ."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/S0278-4319(98)00046-2","article-title":"Measuring efficiency in the hotel industry: A stochastic frontier approach","volume":"18","author":"Anderson","year":"1999","journal-title":"Int. J. Hosp. Manag."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1023\/A:1010333518966","article-title":"Evaluating efficiency in the Norwegian bus industry using data envelopment analysis","volume":"28","author":"Odeck","year":"2001","journal-title":"Transportation"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1016\/j.omega.2006.01.002","article-title":"How to better identify the true managerial performance: State of the art using DEA","volume":"36","author":"Avkiran","year":"2008","journal-title":"Omega"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1016\/j.tranpol.2010.02.003","article-title":"Productivity changes in Portuguese bus companies","volume":"17","author":"Pestana","year":"2010","journal-title":"Transp. Policy"},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Hossain, M.K., Kamil, A.B., Baten, M.A., and Mustafa, A. (2012). Stochastic frontier approach and data envelopment analysis to total factor productivity and efficiency measurement of Bangladesh Rice. PLoS ONE, 7.","DOI":"10.1371\/journal.pone.0046081"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"468","DOI":"10.1016\/j.ijhm.2009.10.020","article-title":"Hotel efficiency: A bootstrapped metafrontier approach","volume":"29","author":"Assaf","year":"2010","journal-title":"Int. J. Hosp. Manag."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"2421","DOI":"10.1080\/02642069.2012.677829","article-title":"Efficiency analysis of small franchise enterprises through a DEA metafrontier model","volume":"32","year":"2012","journal-title":"Serv. Ind. J."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1016\/j.ejor.2009.11.006","article-title":"An investigation into the relationship between size and efficiency of the Italian hospitality sector: A window DEA approach","volume":"204","author":"Pulina","year":"2010","journal-title":"Eur. J. Oper. Res."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1016\/j.jbusres.2011.07.015","article-title":"Dynamic efficiency assessment of the Chinese hotel industry","volume":"65","author":"Huang","year":"2012","journal-title":"J. Bus. Res."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1016\/j.telpol.2008.11.001","article-title":"Using DEA windows analysis to measure efficiencies of Taiwan\u2019s integrated telecommunication firms","volume":"33","author":"Yang","year":"2009","journal-title":"Telecommun. Policy"},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Salomon., V. (2018). Malmquist index with time series to data envelopment analysis. Multi-Criteria Method and Techniques Applied to Supply Chain Management, IntechOpen.","DOI":"10.5772\/intechopen.71296"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"642","DOI":"10.1016\/j.ijhm.2011.08.008","article-title":"Accounting for customer satisfaction in measuring hotel efficiency: Evidence from the US hotel industry","volume":"31","author":"Assaf","year":"2012","journal-title":"Int. J. Hosp. Manag."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1016\/j.ijhm.2010.03.012","article-title":"Privatization, market competition, international attractiveness, management tenure and hotel performance: Evidence from Slovenia","volume":"30","author":"Assaf","year":"2011","journal-title":"Int. J. Hosp. Manag."},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Senel, T., and Cengiz, M.A. (2016). A Bayesian approach for evaluation of determinants of health system efficiency using stochastic frontier analysis and Beta regression. Comp. Math. Meth. Med., 1\u20135.","DOI":"10.1155\/2016\/2801081"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"771","DOI":"10.1007\/s13132-015-0245-8","article-title":"Cost efficiency of Tunisian public hospitals: A Bayesian comparison of random and fixed frontier models","volume":"7","author":"Chaabouni","year":"2016","journal-title":"J. Knowl. Econ."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1016\/j.ejor.2004.04.050","article-title":"Efficiency, effectiveness and productivity of marketing in services","volume":"170","author":"Keh","year":"2006","journal-title":"Eur. J. Oper. Res."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/714005019","article-title":"Combining operations and marketing to manage capacity and demand in services","volume":"21","author":"Klassen","year":"2001","journal-title":"Serv. Ind. J."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"8763","DOI":"10.1016\/j.eswa.2011.01.086","article-title":"Evaluating the influence of E-marketing on hotel performance by DEA and grey entropy","volume":"38","author":"Shuai","year":"2011","journal-title":"Expert Syst. Appl."},{"key":"ref_40","first-page":"211","article-title":"An additive super-efficiency DEA approach to measuring regional environmental performance in China","volume":"55","author":"Zhang","year":"2017","journal-title":"INFOR Inf. Syst. Oper. Res."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"6452","DOI":"10.1016\/j.eswa.2010.02.142","article-title":"Improved slack-based context dependent DEA: A study of international tourists hotels in Taiwan","volume":"37","author":"Cheng","year":"2010","journal-title":"Expert Syst. Appl."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/j.tranpol.2018.11.014","article-title":"Evaluating the sustainability of national logistics performance using data envelopment analysis","volume":"74","author":"Rashidi","year":"2019","journal-title":"Transp. Policy"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/j.ijhm.2009.04.004","article-title":"A performance evaluation model for international tourist hotel in Taiwan: An application of the relational network DEA","volume":"29","author":"Hsieh","year":"2010","journal-title":"Int. J. Hosp. Manag."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"742","DOI":"10.1016\/j.egypro.2011.03.130","article-title":"Research on business efficiency of hotel and tourism enterprises based on the influence of innovation factors","volume":"5","author":"Zhang","year":"2011","journal-title":"Energy Procedia"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1007\/s11123-014-0403-1","article-title":"Measuring Japanese bank performance: A dynamic network DEA approach","volume":"44","author":"Fukuyama","year":"2015","journal-title":"J. Prod. Anal."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1016\/j.ejor.2012.11.021","article-title":"Network DEA pitfalls: Divisional efficiency and frontier projection under general network structures","volume":"226","author":"Chen","year":"2013","journal-title":"Eur. J. Oper. Res."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"2505","DOI":"10.1080\/00036840701858091","article-title":"A stochastic DEA study of hotel efficiency","volume":"42","author":"Shang","year":"2010","journal-title":"Appl. Econ."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/j.ijhm.2018.03.015","article-title":"Analyzing hotel efficiency from a regional perspective: The role of environmental determinants","volume":"75","year":"2018","journal-title":"Int. J. Hosp. Manag."},{"key":"ref_49","first-page":"40","article-title":"Developing a stochastic input oriented data envelopment analysis (SIODEA) model","volume":"4","author":"Tharwat","year":"2013","journal-title":"Int. J. Adv. Comp. Sci. Appl."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"571","DOI":"10.1016\/j.tourman.2008.09.005","article-title":"Efficiency and effectiveness of service business: Evidence from International tourists hotels in Taiwan","volume":"30","author":"Yu","year":"2009","journal-title":"Tour.. Manag."},{"key":"ref_51","first-page":"1140","article-title":"Transport","volume":"47","author":"Zhao","year":"2011","journal-title":"Res. E-log."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"918","DOI":"10.1108\/IJCHM-12-2013-0562","article-title":"A hotel life cycle model based on bootstrap DEA efficiency","volume":"27","author":"Yin","year":"2015","journal-title":"Int. J. Contemp. Hosp. Manag."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1136\/bmjopen-2016-011911","article-title":"Efficiency and productivity measurement of rural township hospitals in China; A bootstrapping data envelopment analysis","volume":"6","author":"Cheng","year":"2016","journal-title":"BMJ Open"},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"987","DOI":"10.5367\/te.2013.0327","article-title":"Determinants of Spanish regions\u2019 tourism performance: A two-stage, double bootstrap data envelopment analysis","volume":"20","author":"Benito","year":"2014","journal-title":"Tour. Econ."},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/s10824-017-9295-z","article-title":"On the role of cultural participation in tourism destination performance: An assessment using robust conditional efficiency approach","volume":"41","author":"Guccio","year":"2017","journal-title":"J. Cult. Econ."},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"378","DOI":"10.1177\/1096348006286798","article-title":"The measurement of efficiency in Portuguese hotels with DEA","volume":"30","author":"Barros","year":"2006","journal-title":"J. Hosp. Tour. Res."},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1007\/s11123-013-0371-x","article-title":"Assessing the productivity of the Italian hospitality sector: A post-WDEA pooled truncated and spatial analysis","volume":"42","author":"Detotto","year":"2014","journal-title":"J. Prod. Anal."},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"9064","DOI":"10.1016\/j.eswa.2012.02.045","article-title":"Exploring the dynamics of the efficiency in the Italian hospitality sector. A regional case study","volume":"39","author":"Brida","year":"2012","journal-title":"Expert Syst. Appl."},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1002\/jtr.529","article-title":"Evaluating the efficiency of small hotel chain with a Malmquist productivity index","volume":"7","author":"Barros","year":"2005","journal-title":"Int. J. Tour. Res."},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1007\/BF02296216","article-title":"Productivity in tourism industry","volume":"10","author":"Barros","year":"2004","journal-title":"Int. Adv. Econ. Res."},{"key":"ref_61","first-page":"40","article-title":"Hotel industry efficiency: An advanced linear programming examination","volume":"18","author":"Anderson","year":"2000","journal-title":"Am. Bus. Rev."},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1177\/001088049503600521","article-title":"Evaluating a hotel GM\u2019s performance: A case study in benchmarking","volume":"36","author":"Morey","year":"1995","journal-title":"Cornell Hotel Rest. Adm. Q."},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1142\/S0217595905000595","article-title":"Evaluating the performance of the Taiwanese hotel industry using a weight slacks-based measure","volume":"22","author":"Sun","year":"2005","journal-title":"Asia Pac. J. Oper. Res."},{"key":"ref_64","first-page":"55","article-title":"Productivity and efficiency analysis of international tourist hotels in Taiwan: An application of the stochastic frontier approach","volume":"35","author":"Wang","year":"2007","journal-title":"Taiwan Econ. Rev."},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1080\/10941660108722090","article-title":"The operating efficiency of international tourist hotels in Taiwan","volume":"6","author":"Tsaur","year":"2001","journal-title":"Asia Pac. J. Tour. Res."},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1177\/0010880403442012","article-title":"Hospitality- productivity assessment using data envelopment analysis","volume":"44","author":"Reynolds","year":"2003","journal-title":"Cornell Hotel Rest. Adm. Q."},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1002\/smj.4250140406","article-title":"Operational performance of airlines: An extension of traditional measurement paradigms","volume":"14","author":"Schefczyk","year":"1993","journal-title":"Strat. Manag. J."},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"200","DOI":"10.1016\/j.ijhm.2010.06.005","article-title":"The response of hotel performance to international tourism development and crisis event","volume":"30","author":"Chen","year":"2011","journal-title":"Int. J. Hosp. Manag."},{"key":"ref_69","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1108\/09596111111101670","article-title":"Improving efficiency in international tourism hotels in Taipei using a non-radial DEA model","volume":"23","author":"Wu","year":"2011","journal-title":"Int. J. Contemp. Hosp. Manag."},{"key":"ref_70","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1080\/10941660701416812","article-title":"On measuring tourism productivity","volume":"12","author":"Peypoch","year":"2007","journal-title":"Asia Pac. J. Tour. Res."},{"key":"ref_71","doi-asserted-by":"crossref","first-page":"665","DOI":"10.1016\/j.tourman.2009.07.011","article-title":"The economy, tourism growth and corporate performance in the Taiwanese hotel industry","volume":"31","author":"Chen","year":"2010","journal-title":"Tour. Manag."},{"key":"ref_72","doi-asserted-by":"crossref","first-page":"1672","DOI":"10.1057\/palgrave.jors.2602318","article-title":"A modified slacks-based measure model for data envelopment analysis with \u2018natural\u2019 negative outputs and inputs","volume":"58","author":"Sharp","year":"2007","journal-title":"J. Oper. Res. Soc."},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1007\/BF00051604","article-title":"Information entropy","volume":"64","author":"Cincotta","year":"1996","journal-title":"Celest. Mech. Dyn. Astron."},{"key":"ref_74","first-page":"1700","article-title":"Bayesian entropy estimation for binary spike train data using parametric prior knowledge","volume":"26","author":"Archer","year":"2013","journal-title":"NIPS"},{"key":"ref_75","unstructured":"Massey, J. (1990, January 27\u201330). Causality, Feedback and Directed Information. Proceedings of the 1990 International Symposium on Information Theory and Its Applications, Waikiki, HI, USA."},{"key":"ref_76","doi-asserted-by":"crossref","first-page":"644","DOI":"10.1109\/TIT.2008.2009849","article-title":"Finite State Channels with Time-Invariant Deterministic Feedback","volume":"55","author":"Permuter","year":"2009","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_77","doi-asserted-by":"crossref","unstructured":"James, G., Witten, D., Hastie, T., and Tibshirani, R. (2013). An Introduction to Statistical Learning: With Applications in R, Springer.","DOI":"10.1007\/978-1-4614-7138-7"},{"key":"ref_78","doi-asserted-by":"crossref","unstructured":"Tan, Y., and Despotis, D. (2021). Investigation of efficiency in the UK hotel industry: A network data envelopment analysis approach. Int. J. Contemp. Hosp. Manag., forthcoming.","DOI":"10.1108\/IJCHM-07-2020-0641"}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/23\/2\/184\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T05:17:55Z","timestamp":1760159875000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/23\/2\/184"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1,31]]},"references-count":78,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2021,2]]}},"alternative-id":["e23020184"],"URL":"https:\/\/doi.org\/10.3390\/e23020184","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1,31]]}}}