{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,17]],"date-time":"2026-08-17T15:20:40Z","timestamp":1786980040690,"version":"build-2736575974"},"reference-count":43,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2019,12,26]],"date-time":"2019-12-26T00:00:00Z","timestamp":1577318400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,12,26]],"date-time":"2019-12-26T00:00:00Z","timestamp":1577318400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Engineering with Computers"],"published-print":{"date-parts":[[2021,4]]},"DOI":"10.1007\/s00366-019-00897-9","type":"journal-article","created":{"date-parts":[[2019,12,25]],"date-time":"2019-12-25T22:02:20Z","timestamp":1577311340000},"page":"1537-1547","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":23,"title":["Proposing two new metaheuristic algorithms of ALO-MLP and SHO-MLP in\u00a0predicting bearing capacity of circular footing located on horizontal multilayer soil"],"prefix":"10.1007","volume":"37","author":[{"given":"Wensheng","family":"Liu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hossein","family":"Moayedi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hoang","family":"Nguyen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zongjie","family":"Lyu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Dieu Tien","family":"Bui","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2019,12,26]]},"reference":[{"key":"897_CR1","doi-asserted-by":"crossref","first-page":"1135","DOI":"10.1016\/S1452-3981(23)15062-0","volume":"6","author":"A Asadi","year":"2011","unstructured":"Asadi A, Moayedi H, Huat BB, Parsaie A, Taha MR (2011) Artificial neural networks approach for electrochemical resistivity of highly organic soil. Int J Electrochem Sci 6:1135\u20131145","journal-title":"Int J Electrochem Sci"},{"key":"897_CR2","doi-asserted-by":"crossref","first-page":"750","DOI":"10.1016\/j.ijbiomac.2018.11.036","volume":"124","author":"S Muthusamy","year":"2019","unstructured":"Muthusamy S, Manickam LP, Murugesan V, Muthukumaran C, Pugazhendhi A (2019) Pectin extraction from Helianthus annuus (sunflower) heads using RSM and ANN modelling by a genetic algorithm approach. Int J Biol Macromol 124:750\u2013758","journal-title":"Int J Biol Macromol"},{"key":"897_CR3","doi-asserted-by":"crossref","first-page":"565","DOI":"10.1139\/t78-060","volume":"15","author":"GG Meyerhof","year":"1978","unstructured":"Meyerhof GG, Hanna AM (1978) Ultimate bearing capacity of foundations on layered soils under inclined load. Can Geotech J 15:565\u2013572","journal-title":"Can Geotech J"},{"key":"897_CR4","doi-asserted-by":"crossref","first-page":"4115","DOI":"10.1007\/s13369-016-2104-8","volume":"41","author":"N Latifi","year":"2016","unstructured":"Latifi N, Marto A, Eisazadeh A (2016) Experimental investigations on behaviour of strip footing placed on chemically stabilised backfills and flexible retaining walls. Arab J Sci Eng 41:4115\u20134126","journal-title":"Arab J Sci Eng"},{"key":"897_CR5","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1007\/s12517-017-3167-x","volume":"10","author":"A Chakraborty","year":"2017","unstructured":"Chakraborty A, Goswami D (2017) Prediction of slope stability using multiple linear regression (MLR) and artificial neural network (ANN). Arab J Geosci 10:11","journal-title":"Arab J Geosci"},{"key":"897_CR6","volume-title":"Foundation analysis and design","author":"LE Bowles","year":"1996","unstructured":"Bowles LE (1996) Foundation analysis and design. McGraw-hill, Chichester"},{"key":"897_CR7","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1007\/s11204-017-9449-1","volume":"54","author":"H Moayedi","year":"2017","unstructured":"Moayedi H, Mosallanezhad M, Nazir R (2017) Evaluation of maintained load test (MLT) and pile driving analyzer (PDA) in measuring bearing capacity of driven reinforced concrete piles. Soil Mech Found Eng 54:150\u2013154","journal-title":"Soil Mech Found Eng"},{"key":"897_CR8","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1007\/s00366-017-0545-7","volume":"34","author":"H Moayedi","year":"2018","unstructured":"Moayedi H, Armaghani DJ (2018) Optimizing an ANN model with ICA for estimating bearing capacity of driven pile in cohesionless soil. Eng Comput 34:347\u2013356","journal-title":"Eng Comput"},{"key":"897_CR9","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1007\/s11204-018-9535-z","volume":"55","author":"H Moayedi","year":"2018","unstructured":"Moayedi H, Nazir R, Ghareh S, Sobhanmanesh A, Tan YC (2018) Performance analysis of a piled raft foundation system of varying pile lengths in controlling angular distortion. Soil Mech Found Eng 55:265\u2013269","journal-title":"Soil Mech Found Eng"},{"key":"897_CR10","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1007\/s00366-017-0542-x","volume":"34","author":"E Momeni","year":"2018","unstructured":"Momeni E, Armaghani DJ, Fatemi SA, Nazir R (2018) Prediction of bearing capacity of thin-walled foundation: a simulation approach. Eng Comput 34:319\u2013327","journal-title":"Eng Comput"},{"key":"897_CR11","volume-title":"Principles of Foundation Engineering","author":"BM Das","year":"2008","unstructured":"Das BM (2008) Principles of Foundation Engineering, 8th edn. McGraw-Hill Book Co., Singapore","edition":"8"},{"key":"897_CR12","doi-asserted-by":"crossref","first-page":"208","DOI":"10.1016\/j.asoc.2018.02.027","volume":"66","author":"H Moayedi","year":"2018","unstructured":"Moayedi H, Hayati S (2018) Modelling and optimization of ultimate bearing capacity of strip footing near a slope by soft computing methods. Appl Soft Comput 66:208\u2013219","journal-title":"Appl Soft Comput"},{"key":"897_CR13","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1007\/s00366-018-0601-y","volume":"35","author":"W Gao","year":"2019","unstructured":"Gao W, Karbasi M, Derakhsh AM, Jalili A (2019) Development of a novel soft-computing framework for the simulation aims: a case study. Eng Comput 35:315\u2013322","journal-title":"Eng Comput"},{"key":"897_CR14","doi-asserted-by":"crossref","first-page":"04017162","DOI":"10.1061\/(ASCE)GM.1943-5622.0001086","volume":"18","author":"N Latifi","year":"2017","unstructured":"Latifi N, Vahedifard F, Ghazanfari E, Horpibulsuk S, Marto A, Williams J (2017) Sustainable improvement of clays using low-carbon nontraditional additive. Int J Geomech 18:04017162","journal-title":"Int J Geomech"},{"key":"897_CR15","doi-asserted-by":"crossref","first-page":"287","DOI":"10.12989\/gae.2015.9.3.287","volume":"9","author":"E Uncuoglu","year":"2015","unstructured":"Uncuoglu E (2015) The bearing capacity of square footings on a sand layer overlying clay. Geomech Eng 9:287\u2013311","journal-title":"Geomech Eng"},{"key":"897_CR16","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/j.knosys.2018.03.011","volume":"150","author":"G Dhiman","year":"2018","unstructured":"Dhiman G, Kumar V (2018) Multi-objective spotted hyena optimizer: a Multi-objective optimization algorithm for engineering problems. Knowl-Based Syst 150:175\u2013197","journal-title":"Knowl-Based Syst"},{"key":"897_CR17","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1007\/BF02478259","volume":"5","author":"W McCulloch","year":"1943","unstructured":"McCulloch W, Pitts W (1943) A logical calculus of the ideas immanent in nervous activity. Bull Math Biophys 5:115\u2013133","journal-title":"Bull Math Biophys"},{"key":"897_CR18","volume-title":"The organization of behavior: a neurophysiological approach","author":"D Hebb","year":"1949","unstructured":"Hebb D (1949) The organization of behavior: a neurophysiological approach. Wiley, Amsterdam"},{"key":"897_CR19","doi-asserted-by":"crossref","first-page":"256","DOI":"10.1016\/j.geomorph.2017.12.008","volume":"303","author":"BT Pham","year":"2018","unstructured":"Pham BT, Prakash I, Bui DT (2018) Spatial prediction of landslides using a hybrid machine learning approach based on random subspace and classification and regression trees. Geomorphology 303:256\u2013270","journal-title":"Geomorphology"},{"key":"897_CR20","doi-asserted-by":"crossref","first-page":"1212","DOI":"10.1016\/j.sjbs.2017.11.022","volume":"25","author":"W Gao","year":"2018","unstructured":"Gao W, Wu H, Siddiqui MK, Baig AQ (2018) Study of biological networks using graph theory. Saudi J Biol Sci 25:1212\u20131219","journal-title":"Saudi J Biol Sci"},{"key":"897_CR21","doi-asserted-by":"crossref","first-page":"593","DOI":"10.1016\/j.aei.2018.09.005","volume":"38","author":"BT Tien","year":"2018","unstructured":"Tien BT, nhu NH, Hong ND (2018) Prediction of soil compression coefficient for urban housing project using novel integration machine learning approach of swarm intelligence and Multi-layer Perceptron Neural Network. Adv Eng Inform 38:593\u2013604","journal-title":"Adv Eng Inform"},{"key":"897_CR22","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/j.ins.2018.07.049","volume":"467","author":"W Gao","year":"2018","unstructured":"Gao W, Guirao JLG, Basavanagoud B, Wu J (2018) Partial multi-dividing ontology learning algorithm. Inf Sci 467:35\u201358","journal-title":"Inf Sci"},{"key":"897_CR23","first-page":"711","volume":"12","author":"W Gao","year":"2018","unstructured":"Gao W, Dimitrov D, Abdo H (2018) Tight independent set neighborhood union condition for fractional critical deleted graphs and ID deleted graphs. Discret Contin Dyn Syst 12:711\u2013721","journal-title":"Discret Contin Dyn Syst"},{"key":"897_CR24","first-page":"877","volume":"12","author":"W Gao","year":"2019","unstructured":"Gao W, Guirao JLG, Abdel-Aty M, Xi W (2019) An independent set degree condition for fractional critical deleted graphs. Discret Contin Dyn Syst 12:877\u2013886","journal-title":"Discret Contin Dyn Syst"},{"key":"897_CR25","doi-asserted-by":"crossref","first-page":"793","DOI":"10.1016\/j.arabjc.2017.12.024","volume":"11","author":"W Gao","year":"2018","unstructured":"Gao W, Wang W, Dimitrov D, Wang Y (2018) Nano properties analysis via fourth multiplicative ABC indicator calculating. Arab J Chem 11:793\u2013801","journal-title":"Arab J Chem"},{"key":"897_CR26","doi-asserted-by":"crossref","first-page":"893","DOI":"10.1007\/s11053-018-9424-1","volume":"28","author":"H Nguyen","year":"2018","unstructured":"Nguyen H, Bui X-N (2018) Predicting blast-induced air overpressure: A robust artificial intelligence system based on artificial neural networks and random forest. Nat Resour Res 28:893\u2013907","journal-title":"Nat Resour Res"},{"key":"897_CR27","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1007\/s00366-017-0544-8","volume":"34","author":"W Gao","year":"2018","unstructured":"Gao W, Karbasi M, Hasanipanah M, Zhang X, Guo J (2018) Developing GPR model for forecasting the rock fragmentation in surface mines. Eng Comput 34:339\u2013345","journal-title":"Eng Comput"},{"key":"897_CR28","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1016\/j.advengsoft.2015.01.010","volume":"83","author":"S Mirjalili","year":"2015","unstructured":"Mirjalili S (2015) The ant lion optimizer. Adv Eng Softw 83:80\u201398","journal-title":"Adv Eng Softw"},{"key":"897_CR29","doi-asserted-by":"crossref","first-page":"1613","DOI":"10.3390\/app8091613","volume":"8","author":"U Kose","year":"2018","unstructured":"Kose U (2018) An ant-lion optimizer-trained artificial neural network system for chaotic electroencephalogram (EEG) prediction. Appl Sci 8:1613","journal-title":"Appl Sci"},{"key":"897_CR30","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1007\/s10489-016-0825-8","volume":"46","author":"S Mirjalili","year":"2017","unstructured":"Mirjalili S, Jangir P, Saremi S (2017) Multi-objective ant lion optimizer: a multi-objective optimization algorithm for solving engineering problems. Appl Intell 46:79\u201395","journal-title":"Appl Intell"},{"key":"897_CR31","doi-asserted-by":"crossref","first-page":"34277","DOI":"10.1007\/s11042-019-08081-3","volume":"78","author":"Q Luo","year":"2019","unstructured":"Luo Q, Li J, Zhou Y (2019) Spotted hyena optimizer with lateral inhibition for image matching. Multimed Tools Appl 78:34277\u201334296","journal-title":"Multimed Tools Appl"},{"key":"897_CR32","doi-asserted-by":"crossref","first-page":"71943","DOI":"10.1109\/ACCESS.2019.2919991","volume":"7","author":"H Jia","year":"2019","unstructured":"Jia H, Li J, Song W, Peng X, Lang C, Li Y (2019) Spotted hyena optimization algorithm with simulated annealing for feature selection. IEEE Access 7:71943\u201371962","journal-title":"IEEE Access"},{"key":"897_CR33","doi-asserted-by":"crossref","first-page":"1850374","DOI":"10.1142\/S0217984918503748","volume":"32","author":"A Kaur","year":"2018","unstructured":"Kaur A, Kaur S, Dhiman G (2018) A quantum method for dynamic nonlinear programming technique using Schr\u00f6dinger equation and Monte Carlo approach. Mod Phys Lett B 32:1850374","journal-title":"Mod Phys Lett B"},{"issue":"3","key":"897_CR34","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/j.ijrmms.2019.01.013","volume":"115","author":"JY Fan","year":"2019","unstructured":"Fan JY, Jiang DY, Liu W, Wu F, Chen J, Daemen JJK (2019) Discontinuous fatigue of salt rock with low-stress intervals. Int J Rock Mech Min Sci 115(3):77\u201386","journal-title":"Int J Rock Mech Min Sci"},{"key":"897_CR35","doi-asserted-by":"publisher","DOI":"10.1016\/j.est.2019.101131","author":"J Chen","year":"2019","unstructured":"Chen J, Lu D, Liu W, Fan JY, Jiang DY, Yi L et al (2019) Stability study and optimization design of small-spacing two-well (SSTW) salt caverns for natural gas storages. J Energy Storage. https:\/\/doi.org\/10.1016\/j.est.2019.101131","journal-title":"J Energy Storage."},{"issue":"10","key":"897_CR36","doi-asserted-by":"crossref","first-page":"292","DOI":"10.1007\/s12665-019-8292-2","volume":"78","author":"Z Zhang","year":"2019","unstructured":"Zhang Z, Jiang D, Liu W, Chen J, Li E, Fan J et al (2019) Study on the mechanism of roof collapse and leakage of horizontal cavern in thinly bedded salt rocks. Environ Earth Sci 78(10):292","journal-title":"Environ Earth Sci"},{"key":"897_CR37","doi-asserted-by":"crossref","first-page":"88218","DOI":"10.1109\/ACCESS.2019.2918156","volume":"7","author":"W Qiao","year":"2019","unstructured":"Qiao W, Huang K, Azimi M, Han S (2019) A novel hybrid prediction model for hourly gas consumption in supply side based on improved whale optimization algorithm and relevance vector machine. IEEE Access 7:88218\u201388230","journal-title":"IEEE Access"},{"key":"897_CR38","doi-asserted-by":"crossref","first-page":"3711","DOI":"10.1007\/s13369-017-2490-6","volume":"42","author":"M Mosallanezhad","year":"2017","unstructured":"Mosallanezhad M, Moayedi H (2017) Comparison Analysis of Bearing Capacity Approaches for the Strip Footing on Layered Soils. Arab J Sci Eng 42:3711\u20133722","journal-title":"Arab J Sci Eng"},{"key":"897_CR39","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/j.geotexmem.2016.07.001","volume":"45","author":"J Hou","year":"2017","unstructured":"Hou J, Zhang MX, Dai ZH, Li JZ, Zeng FF (2017) Bearing capacity of strip foundations in horizontal-vertical reinforced soils. Geotext Geomembr 45:29\u201334","journal-title":"Geotext Geomembr"},{"key":"897_CR40","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1007\/s12517-016-2744-8","volume":"9","author":"SM Anvari","year":"2016","unstructured":"Anvari SM, Shooshpasha I (2016) Influence of size of granulated rubber on bearing capacity of fine-grained sand. Arab J Geosci 9:12","journal-title":"Arab J Geosci"},{"key":"897_CR41","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1007\/s12517-012-0771-7","volume":"7","author":"R Noorzad","year":"2014","unstructured":"Noorzad R, Manavirad E (2014) Bearing capacity of two close strip footings on soft clay reinforced with geotextile. Arab J Geosci 7:623\u2013639","journal-title":"Arab J Geosci"},{"key":"897_CR42","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/j.asoc.2008.04.004","volume":"9","author":"PR Vundavilli","year":"2009","unstructured":"Vundavilli PR, Pratihar DK (2009) Soft computing-based gait planners for a dynamically balanced biped robot negotiating sloping surfaces. Appl Soft Comput 9:191\u2013208","journal-title":"Appl Soft Comput"},{"key":"897_CR43","doi-asserted-by":"crossref","first-page":"826","DOI":"10.1016\/j.enconman.2016.08.020","volume":"126","author":"CM dos Santos","year":"2016","unstructured":"dos Santos CM, Escobedo JF, Teramoto \u00c9T, da Silva SHMG (2016) Assessment of ANN and SVM models for estimating normal direct irradiation (Hb). Energy Convers Manag 126:826\u2013836","journal-title":"Energy Convers Manag"}],"container-title":["Engineering with Computers"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-019-00897-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00366-019-00897-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-019-00897-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,24]],"date-time":"2023-09-24T06:52:33Z","timestamp":1695538353000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00366-019-00897-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,12,26]]},"references-count":43,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021,4]]}},"alternative-id":["897"],"URL":"https:\/\/doi.org\/10.1007\/s00366-019-00897-9","relation":{},"ISSN":["0177-0667","1435-5663"],"issn-type":[{"value":"0177-0667","type":"print"},{"value":"1435-5663","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,12,26]]},"assertion":[{"value":"5 March 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 December 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 December 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The authors declare no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}