{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T03:19:29Z","timestamp":1777519169354,"version":"3.51.4"},"reference-count":35,"publisher":"Springer Science and Business Media LLC","issue":"9","license":[{"start":{"date-parts":[[2025,8,30]],"date-time":"2025-08-30T00:00:00Z","timestamp":1756512000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,8,30]],"date-time":"2025-08-30T00:00:00Z","timestamp":1756512000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Cluster Comput"],"published-print":{"date-parts":[[2025,10]]},"DOI":"10.1007\/s10586-025-05242-y","type":"journal-article","created":{"date-parts":[[2025,8,30]],"date-time":"2025-08-30T10:58:54Z","timestamp":1756551534000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Multi-attribute based double auction for virtual machine trading in federated cloud environment"],"prefix":"10.1007","volume":"28","author":[{"given":"Sandeep Singh","family":"Sikarwar","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rakesh","family":"Kumar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Benay Kumar","family":"Ray","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,8,30]]},"reference":[{"issue":"1","key":"5242_CR1","doi-asserted-by":"publisher","first-page":"78","DOI":"10.1109\/TSC.2016.2528246","volume":"11","author":"W Wei","year":"2018","unstructured":"Wei, W., Fan, X., Song, H., Fan, X., Yang, J.: Imperfect information dynamic Stackelberg-based resource allocation using hidden Markov for cloud computing. IEEE Trans. Serv. Comput. 11(1), 78\u201389 (2018). https:\/\/doi.org\/10.1109\/TSC.2016.2528246","journal-title":"IEEE Trans. Serv. Comput."},{"issue":"1","key":"5242_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/3084460","volume":"1","author":"Z Zhang","year":"2017","unstructured":"Zhang, Z., Li, Z., Wu, C.: Optimal posted prices for online cloud resource allocation. Proc. ACM Meas. Anal. Comput. Syst. 1(1), 1\u201326 (2017). https:\/\/doi.org\/10.1145\/3084460","journal-title":"Proc. ACM Meas. Anal. Comput. Syst."},{"issue":"3","key":"5242_CR3","doi-asserted-by":"publisher","first-page":"1827","DOI":"10.1109\/TNET.2015.2435015","volume":"24","author":"H Li","year":"2016","unstructured":"Li, H., Wu, C., Li, Z., Lau, F.C.M.: Virtual machine trading in a federation of clouds: individual profit and social welfare maximization. IEEE ACM Trans Netw. 24(3), 1827\u20131840 (2016). https:\/\/doi.org\/10.1109\/TNET.2015.2435015","journal-title":"IEEE ACM Trans Netw."},{"issue":"9","key":"5242_CR4","doi-asserted-by":"publisher","first-page":"1975","DOI":"10.1109\/TPDS.2019.2900238","volume":"30","author":"Y Jiao","year":"2019","unstructured":"Jiao, Y., Wang, P., Niyato, D., Suankaewmanee, K.: Auction mechanisms in cloud\/fog computing resource allocation for public blockchain networks. IEEE Trans. Parallel and Distrib. Syst. 30(9), 1975\u20131989 (2019). https:\/\/doi.org\/10.1109\/TPDS.2019.2900238","journal-title":"IEEE Trans. Parallel and Distrib. Syst."},{"issue":"4","key":"5242_CR5","doi-asserted-by":"publisher","first-page":"880","DOI":"10.1109\/TMC.2019.2901474","volume":"19","author":"D Zhang","year":"2019","unstructured":"Zhang, D., Tan, L., Ren, J., Awad, M.K., Zhang, S., Zhang, Y., Wan, P.-J.: Near-optimal and truthful online auction for computation offloading in green edge-computing systems. IEEE Trans. Mob. Comput. 19(4), 880\u2013893 (2019). https:\/\/doi.org\/10.1109\/TMC.2019.2901474","journal-title":"IEEE Trans. Mob. Comput."},{"issue":"2","key":"5242_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/3579654.3579723","volume":"1","author":"C Reiss","year":"2011","unstructured":"Reiss, C., Wilkes, J., Hellerstein, J.L.: Google cluster-usage traces format+ schema\u00a0Google Inc,. White Paper 1(2), 1\u201314 (2011). https:\/\/doi.org\/10.1145\/3579654.3579723","journal-title":"\u00a0White Paper"},{"issue":"4","key":"5242_CR7","doi-asserted-by":"publisher","first-page":"720","DOI":"10.1109\/TPDS.2017.2781236","volume":"29","author":"L Lu","year":"2017","unstructured":"Lu, L., Yu, J., Zhu, Y., Li, M.: A double auction mechanism to bridge users\u2019 task requirements and providers\u2019 resources in two-sided cloud markets. IEEE Trans. Parallel Distrib. Syst. 29(4), 720\u2013733 (2017). https:\/\/doi.org\/10.1109\/TPDS.2017.2781236","journal-title":"IEEE Trans. Parallel Distrib. Syst."},{"issue":"2","key":"5242_CR8","doi-asserted-by":"publisher","first-page":"1034","DOI":"10.1109\/TNET.2016.2619743","volume":"25","author":"X Zhang","year":"2017","unstructured":"Zhang, X., Huang, Z., Wu, C., Li, Z., Lau, F.C.M.: Online auctions in iaas clouds: welfare and profit maximization with server costs. IEEE\/ACM Trans. Netw. 25(2), 1034\u20131047 (2017). https:\/\/doi.org\/10.1109\/TNET.2016.2619743","journal-title":"IEEE\/ACM Trans. Netw."},{"key":"5242_CR9","doi-asserted-by":"publisher","DOI":"10.1186\/s13677-021-00249-3","author":"R Lu","year":"2021","unstructured":"Lu, R., Liang, Y., Ling, Q., Li, C., Wu, W.: Double auction and profit maximization mechanism for jobs with heterogeneous durations in cloud federations. J. Cloud Comput. (2021). https:\/\/doi.org\/10.1186\/s13677-021-00249-3","journal-title":"J. Cloud Comput."},{"issue":"4","key":"5242_CR10","doi-asserted-by":"publisher","first-page":"1172","DOI":"10.1109\/TC.2015.2444843","volume":"65","author":"L Mashayekhy","year":"2015","unstructured":"Mashayekhy, L., Nejad, M.M., Grosu, D., Vasilakos, A.V.: An online mechanism for resource allocation and pricing in clouds. IEEE Trans. Comput. 65(4), 1172\u20131184 (2015). https:\/\/doi.org\/10.1109\/TC.2015.2444843","journal-title":"IEEE Trans. Comput."},{"issue":"9","key":"5242_CR11","doi-asserted-by":"publisher","first-page":"2075","DOI":"10.1109\/TPDS.2018.2814566","volume":"29","author":"J Li","year":"2018","unstructured":"Li, J., Zhu, Y., Yu, J., Long, C., Xue, G., Qian, S.: Online auction for IaaS clouds: towards elastic user demands and weighted heterogeneous VMs. IEEE Trans. Parallel Distrib. Syst. 29(9), 2075\u20132089 (2018). https:\/\/doi.org\/10.1109\/TPDS.2018.2814566","journal-title":"IEEE Trans. Parallel Distrib. Syst."},{"issue":"1","key":"5242_CR12","doi-asserted-by":"publisher","first-page":"470","DOI":"10.1109\/TSC.2019.2952772","volume":"15","author":"AI Middya","year":"2019","unstructured":"Middya, A.I., Ray, B.K., Roy, S.: Auction-based resource allocation mechanism in federated cloud environment: Tara. IEEE Trans. Serv. Comput. 15(1), 470\u2013483 (2019). https:\/\/doi.org\/10.1109\/TSC.2019.2952772","journal-title":"IEEE Trans. Serv. Comput."},{"key":"5242_CR13","doi-asserted-by":"publisher","first-page":"234","DOI":"10.1016\/j.jss.2016.12.009","volume":"125","author":"D Kumar","year":"2017","unstructured":"Kumar, D., Baranwal, G., Raza, Z., Vidyarthi, D.P.: A systematic study of double auction mechanisms in cloud computing. J. Syst. Softw. 125, 234\u2013255 (2017). https:\/\/doi.org\/10.1016\/j.jss.2016.12.009","journal-title":"J. Syst. Softw."},{"key":"5242_CR14","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1016\/j.jss.2018.03.003","volume":"140","author":"D Kumar","year":"2018","unstructured":"Kumar, D., Baranwal, G., Raza, Z., Vidyarthi, D.: A truthful combinatorial double auction-based marketplace mechanism for cloud computing. J. Syst. Softw. 140, 91\u2013108 (2018). https:\/\/doi.org\/10.1016\/j.jss.2018.03.003","journal-title":"J. Syst. Softw."},{"key":"5242_CR15","doi-asserted-by":"publisher","unstructured":"Mihailescu, M., Teo, Y. M. (2010) Dynamic resource pricing on federated clouds. In: 2010 10th IEEE\/ACM International Conference on Cluster, Cloud and Grid Computing,\u00a0https:\/\/doi.org\/10.1109\/CCGRID.2010.123","DOI":"10.1109\/CCGRID.2010.123"},{"issue":"9","key":"5242_CR16","doi-asserted-by":"publisher","first-page":"977","DOI":"10.1002\/cpe.1659","volume":"24","author":"ER Gomes","year":"2012","unstructured":"Gomes, E.R., Vo, Q.B., Kowalczyk, R.: Pure exchange markets for resource sharing in federated clouds. Concurr. Comput.: Pract. Exp. 24(9), 977\u2013991 (2012). https:\/\/doi.org\/10.1002\/cpe.1659","journal-title":"Concurr. Comput.: Pract. Exp."},{"issue":"1","key":"5242_CR17","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1109\/TCC.2014.2338323","volume":"3","author":"L Mashayekhy","year":"2015","unstructured":"Mashayekhy, L., Nejad, M.M., Grosu, D.: Cloud federations in the sky: formation game and mechanism. IEEE Trans. Cloud Comput. 3(1), 14\u201327 (2015). https:\/\/doi.org\/10.1109\/TCC.2014.2338323","journal-title":"IEEE Trans. Cloud Comput."},{"issue":"3","key":"5242_CR18","doi-asserted-by":"publisher","first-page":"805","DOI":"10.1109\/TSC.2018.2833854","volume":"14","author":"BK Ray","year":"2021","unstructured":"Ray, B.K., Saha, A., Khatua, S., Roy, S.: Quality and profit assured trusted cloud federation formation: game theory based approach. IEEE Trans. Serv. Comput. 14(3), 805\u2013819 (2021). https:\/\/doi.org\/10.1109\/TSC.2018.2833854","journal-title":"IEEE Trans. Serv. Comput."},{"key":"5242_CR19","doi-asserted-by":"publisher","first-page":"957","DOI":"10.1109\/TCC.2020.2968522","volume":"10","author":"BK Ray","year":"2020","unstructured":"Ray, B.K., Saha, A., Khatua, S., Roy, S.: Proactive fault-tolerance technique to enhance reliability of cloud service in cloud federation environment. IEEE Trans. Cloud Comput. 10, 957\u2013971 (2020)","journal-title":"IEEE Trans. Cloud Comput."},{"issue":"2","key":"5242_CR20","doi-asserted-by":"publisher","first-page":"885","DOI":"10.1007\/s11227-018-2620-2","volume":"75","author":"BK Ray","year":"2019","unstructured":"Ray, B.K., Saha, A., Khatua, S., Roy, S.: Toward maximization of profit and quality of cloud federation: solution to cloud federation formation problem. J. Supercomput. 75(2), 885\u2013929 (2019). https:\/\/doi.org\/10.1007\/s11227-018-2620-2","journal-title":"J. Supercomput."},{"issue":"3","key":"5242_CR21","doi-asserted-by":"publisher","first-page":"677","DOI":"10.1109\/TPDS.2016.2601905","volume":"28","author":"W Shi","year":"2017","unstructured":"Shi, W., Wu, C., Li, Z.: An online auction mechanism for dynamic virtual cluster provisioning in geo-distributed clouds. IEEE Trans. Parallel Distrib. Syst. 28(3), 677\u2013688 (2017). https:\/\/doi.org\/10.1109\/TPDS.2016.2601905","journal-title":"IEEE Trans. Parallel Distrib. Syst."},{"key":"5242_CR22","doi-asserted-by":"publisher","first-page":"1981","DOI":"10.1007\/s10586-018-2837-0","volume":"21","author":"BK Ray","year":"2018","unstructured":"Ray, B.K., Saha, A., Roy, S.: Migration cost and profit oriented cloud federation formation: hedonic coalition game based approach. Clust. Comput. 21, 1981\u20131999 (2018). https:\/\/doi.org\/10.1007\/s10586-018-2837-0","journal-title":"Clust. Comput."},{"issue":"8","key":"5242_CR23","doi-asserted-by":"publisher","first-page":"1911","DOI":"10.1109\/TPDS.2021.3132422","volume":"33","author":"Z Chen","year":"2022","unstructured":"Chen, Z., Hu, J., Min, G., Luo, C., El-Ghazawi, T.: Adaptive and efficient resource allocation in cloud datacenters using actor-critic deep reinforcement learning. IEEE Trans. Parallel Distrib. Syst. 33(8), 1911\u20131923 (2022). https:\/\/doi.org\/10.1109\/TPDS.2021.3132422","journal-title":"IEEE Trans. Parallel Distrib. Syst."},{"issue":"2","key":"5242_CR24","doi-asserted-by":"publisher","first-page":"1414","DOI":"10.1109\/TCC.2021.3136577","volume":"11","author":"J Liu","year":"2023","unstructured":"Liu, J., et al.: Data placement for multi-tenant data federation on the cloud. IEEE Trans. Cloud Comput. 11(2), 1414\u20131429 (2023). https:\/\/doi.org\/10.1109\/TCC.2021.3136577","journal-title":"IEEE Trans. Cloud Comput."},{"issue":"12","key":"5242_CR25","doi-asserted-by":"publisher","first-page":"11604","DOI":"10.1109\/TMC.2024.3396511","volume":"23","author":"Z Chen","year":"2024","unstructured":"Chen, Z., Xiong, B., Chen, X., Min, G., Li, J.: Joint computation offloading and resource allocation in multi-edge smart communities with personalized federated deep reinforcement learning. IEEE Trans. Mob. Comput. 23(12), 11604\u201311619 (2024). https:\/\/doi.org\/10.1109\/TMC.2024.3396511","journal-title":"IEEE Trans. Mob. Comput."},{"issue":"6","key":"5242_CR26","doi-asserted-by":"publisher","first-page":"118","DOI":"10.1109\/MCOM.001.2200223","volume":"61","author":"Z Chen","year":"2023","unstructured":"Chen, Z., Yu, Z.: Intelligent offloading in blockchain-based mobile crowdsensing using deep reinforcement learning. IEEE Commun. Mag. 61(6), 118\u2013123 (2023). https:\/\/doi.org\/10.1109\/MCOM.001.2200223","journal-title":"IEEE Commun. Mag."},{"key":"5242_CR27","doi-asserted-by":"publisher","first-page":"42479","DOI":"10.1109\/ACCESS.2024.3377568","volume":"12","author":"Y Chen","year":"2024","unstructured":"Chen, Y., Ye, H., Li, X.: Resource pricing model based on two level auction for the cloudlet federation. IEEE Access 12, 42479\u201342489 (2024). https:\/\/doi.org\/10.1109\/ACCESS.2024.3377568","journal-title":"IEEE Access"},{"issue":"2","key":"5242_CR28","doi-asserted-by":"publisher","first-page":"476","DOI":"10.1109\/TCC.2024.3372370","volume":"12","author":"BC Ghosh","year":"2024","unstructured":"Ghosh, B.C., Chakraborty, S.: Trustless collaborative cloud federation. IEEE Trans. Cloud Comput. 12(2), 476\u2013490 (2024). https:\/\/doi.org\/10.1109\/TCC.2024.3372370","journal-title":"IEEE Trans. Cloud Comput."},{"key":"5242_CR29","unstructured":"Google Cloud price calculator. https:\/\/cloud.google.com\/products\/calculator"},{"key":"5242_CR30","unstructured":"All networking pricing - virtual private cloud - google cloud. https:\/\/cloud.google.com\/vpc\/network-pricing"},{"key":"5242_CR31","unstructured":"Amazon EC2. http:\/\/aws.amazon.com\/ec2"},{"key":"5242_CR32","unstructured":"IEA. Industrial electricity prices in India. https:\/\/www.iea.org\/data-and-statistics\/charts\/industrialelectricity-prices-in-india-and-selected-countries-2005-2019"},{"key":"5242_CR33","unstructured":"Cloud harmony.\u00a0https:\/\/cloudharmony.com\/"},{"key":"5242_CR34","doi-asserted-by":"publisher","unstructured":"The pandas development team. pandas-dev\/pandas: Pandas. Version latest (2020). https:\/\/doi.org\/10.5281\/zenodo.3509134","DOI":"10.5281\/zenodo.3509134"},{"key":"5242_CR35","unstructured":"Laurent Perron and Vincent Furnon. OR-Tools. Version v9.6. Google. https:\/\/developers.google.com\/optimization\/\u00a0(2023)"}],"container-title":["Cluster Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10586-025-05242-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10586-025-05242-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10586-025-05242-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,9,17]],"date-time":"2025-09-17T21:23:39Z","timestamp":1758144219000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10586-025-05242-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,8,30]]},"references-count":35,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2025,10]]}},"alternative-id":["5242"],"URL":"https:\/\/doi.org\/10.1007\/s10586-025-05242-y","relation":{},"ISSN":["1386-7857","1573-7543"],"issn-type":[{"value":"1386-7857","type":"print"},{"value":"1573-7543","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,8,30]]},"assertion":[{"value":"25 September 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 February 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 March 2025","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 August 2025","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors have not disclosed any competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}],"article-number":"579"}}