{"_id":"2Cyurf38vcnFhTL5w","bibbaseid":"brbl-fang-han-anentropicregularizationapproachformathematicalprogramswithequilibriumconstraints-2004","author_short":["Bırbıl, Ş.","Fang, S.","Han, J."],"bibdata":{"bibtype":"article","type":"article","title":"An Entropic Regularization Approach for Mathematical Programs with Equilibrium Constraints","volume":"31","issn":"03050548","url":"https://linkinghub.elsevier.com/retrieve/pii/S030505480300176X","doi":"10.1016/S0305-0548(03)00176-X","abstract":"A new smoothing approach based on entropic regularization is proposed for solving a mathematical program with equilibrium constraints (MPEC). With some known smoothing properties of the entropy function and keeping real practice in mind, we reformulate an MPEC problem as a smooth nonlinear programming problem. In this way, a di cult MPEC problem becomes solvable by using available nonlinear optimization software. To support our claims, we use an online solver and test the performance of the proposed approach on a set of well-known test problems.","language":"en","number":"13","urldate":"2023-06-04","journal":"Computers & Operations Research","author":[{"propositions":[],"lastnames":["Bırbıl"],"firstnames":["Ş.İlker"],"suffixes":[]},{"propositions":[],"lastnames":["Fang"],"firstnames":["Shu-Cherng"],"suffixes":[]},{"propositions":[],"lastnames":["Han"],"firstnames":["Jiye"],"suffixes":[]}],"month":"November","year":"2004","note":"30 citations (Semantic Scholar/DOI) [2023-06-05]","pages":"2249–2262","bibtex":"@article{birbil_entropic_2004,\n\ttitle = {An {Entropic} {Regularization} {Approach} for {Mathematical} {Programs} with {Equilibrium} {Constraints}},\n\tvolume = {31},\n\tissn = {03050548},\n\turl = {https://linkinghub.elsevier.com/retrieve/pii/S030505480300176X},\n\tdoi = {10.1016/S0305-0548(03)00176-X},\n\tabstract = {A new smoothing approach based on entropic regularization is proposed for solving a mathematical program with equilibrium constraints (MPEC). With some known smoothing properties of the entropy function and keeping real practice in mind, we reformulate an MPEC problem as a smooth nonlinear programming problem. In this way, a di cult MPEC problem becomes solvable by using available nonlinear optimization software. To support our claims, we use an online solver and test the performance of the proposed approach on a set of well-known test problems.},\n\tlanguage = {en},\n\tnumber = {13},\n\turldate = {2023-06-04},\n\tjournal = {Computers \\& Operations Research},\n\tauthor = {Bırbıl, Ş.İlker and Fang, Shu-Cherng and Han, Jiye},\n\tmonth = nov,\n\tyear = {2004},\n\tnote = {30 citations (Semantic Scholar/DOI) [2023-06-05]},\n\tpages = {2249--2262},\n}\n\n","author_short":["Bırbıl, Ş.","Fang, S.","Han, J."],"key":"birbil_entropic_2004","id":"birbil_entropic_2004","bibbaseid":"brbl-fang-han-anentropicregularizationapproachformathematicalprogramswithequilibriumconstraints-2004","role":"author","urls":{"Paper":"https://linkinghub.elsevier.com/retrieve/pii/S030505480300176X"},"metadata":{"authorlinks":{}},"html":""},"bibtype":"article","biburl":"https://bibbase.org/zotero/victorjhu","dataSources":["CmHEoydhafhbkXXt5"],"keywords":[],"search_terms":["entropic","regularization","approach","mathematical","programs","equilibrium","constraints","bırbıl","fang","han"],"title":"An Entropic Regularization Approach for Mathematical Programs with Equilibrium Constraints","year":2004}