?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=Optimization+as+an+analysis+tool+for+human+complex+decision+making&rft.creator=Sager%2C+Dr+Sebastian&rft.creator=Barth%2C+Dr+Carola+M.&rft.creator=Diedam%2C+Holger&rft.creator=Engelhart%2C+Michael&rft.creator=Funke%2C+Joachim&rft.subject=Cognitive+Psychology&rft.subject=Statistical+Models&rft.description=We+present+a+problem+class+of+mixed-integer+nonlinear+programs+(MINLPs)+with+nonconvex+continuous+relaxations+which+stem+from+economic+test+scenarios+that+are+used+in+the+analysis+of+human+complex+problem+solving.+In+a+round-based+scenario+participants+hold+an+executive+function.+A+posteriori+a+performance+indicator+is+calculated+and+correlated+to+personal+measures+such+as+intelligence%2C+working+memory%2C+or+emotion+regulation.+Altogether%2C+we+investigate+2088+optimization+problems+that+differ+in+size+and+initial+conditions%2C+based+on+real-world+experimental+data+from+12+rounds+of+174+participants.+The+goals+are+twofold.+First%2C+from+the+optimal+solutions+we+gain+additional+insight+into+a+complex+system%2C+which+facilitates+the+analysis+of+a+participant%E2%80%99s+performance+in+the+test.+Second%2C+we+propose+a+methodology+to+automatize+this+process+by+providing+a+new+criterion+based+on+the+solution+of+a+series+of+optimization+problems.+By+providing+a+mathematical+optimization+model+and+this+methodology%2C+we+disprove+the+assumption+that+the+%E2%80%9Cfruit+fly+of+complex+problem+solving%2C%E2%80%9D+the+Tailorshop+scenario+that+has+been+used+for+dozens+of+published+studies%2C+is+not+mathematically+accessible%E2%80%94although+it+turns+out+to+be+extremely+challenging+even+for+advanced+state-of-the-art+global+optimization+algorithms+and+we+were+not+able+to+solve+all+instances+to+global+optimality+in+reasonable+time+in+this+study.+The+publicly+available+computational+tool+Tobago+%5BTOBAGO+web+site+https%3A%2F%2Fsourceforge.net%2Fprojects%2Ftobago%5D+can+be+used+to+automatically+generate+problem+instances+of+various+complexity%2C+contains+interfaces+to+AMPL+and+GAMS%2C+and+is+hence+ideally+suited+as+a+testbed+for+different+kinds+of+algorithms+and+solvers.+Computational+practice+is+reported+with+respect+to+the+influence+of+integer+variables%2C+problem+dimension%2C+and+local+versus+global+optimization+with+different+optimization+codes.&rft.date=2011&rft.type=Journal+(Paginated)&rft.type=PeerReviewed&rft.format=application%2Fpdf&rft.identifier=http%3A%2F%2Fcogprints.org%2F9043%2F1%2FSager_etal_2011_Tailorshop.pdf&rft.identifier=++Sager%2C+Dr+Sebastian+and+Barth%2C+Dr+Carola+M.+and+Diedam%2C+Holger+and+Engelhart%2C+Michael+and+Funke%2C+Joachim++(2011)+Optimization+as+an+analysis+tool+for+human+complex+decision+making.++%5BJournal+(Paginated)%5D+++++&rft.relation=http%3A%2F%2Fcogprints.org%2F9043%2F