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Much of solution methods proposed so far on the topic are either model specific which may work only for a particular sub-class of problems or are based on some strong assumptions and only for two level cases. In this paper, we have considered hierarchical multilevel multi-leader multi-follower problems in which the objective functions contain separable and non-separable terms (but the non-separable terms can be written as a factor of two functions, a function which depends on other level decision variables and a function which is common to all objectives across the same level) and shared constraint. We have proposed a solution algorithm to such problems by equivalent reformulation as a hierarchical multilevel problem involving single decision maker at all levels of the hierarchy. Then, we applied a multi-parametric algorithm to solve the resulting single leader single followers problem.<\/jats:p>","DOI":"10.1051\/ro\/2021146","type":"journal-article","created":{"date-parts":[[2021,9,20]],"date-time":"2021-09-20T18:56:08Z","timestamp":1632164168000},"page":"2915-2939","source":"Crossref","is-referenced-by-count":3,"title":["Hierarchical multilevel optimization with multiple-leaders multiple-followers setting and nonseparable objectives"],"prefix":"10.1051","volume":"55","author":[{"given":"Addis Belete","family":"Zewde","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5494-040X","authenticated-orcid":false,"given":"Semu Mitiku","family":"Kassa","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"250","published-online":{"date-parts":[[2021,10,13]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1287\/opre.21.1.37","volume":"21","author":"Bracken","year":"1973","journal-title":"Oper. 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