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Also, methods and approaches for solving grey linear programming are classified, and its advantages and disadvantages are expressed.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-subheading\">Findings<\/jats:title><jats:p>The progress of grey programming has been expressed from past to present. The main methods for solving the grey linear programming problem can be categorized as Best-Worst model, Confidence degree, Whitening parameters, Prediction model, Positioned solution, Genetic algorithm, Covered solution, Multi-objective, Simplex and dual theory methods. This survey investigates the developments of various solving grey programming methods and its applications.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-subheading\">Originality\/value<\/jats:title><jats:p>Different methods for solving grey linear programming problems are presented, where each of them has disadvantages and advantages in providing results of grey linear programming problems. This study attempted to review papers published during 35 years (1985\u20132020) about grey linear programming solving and applications. The review also helps clarify the important advantages, disadvantages and distinctions between different approaches and algorithms such as weakness of solving linear programming with grey numbers in constraints, inappropriate results with the lower bound is greater than upper bound, out of feasible region solutions and so on.<\/jats:p><\/jats:sec>","DOI":"10.1108\/gs-04-2020-0043","type":"journal-article","created":{"date-parts":[[2020,7,17]],"date-time":"2020-07-17T06:48:11Z","timestamp":1594968491000},"page":"110-135","source":"Crossref","is-referenced-by-count":17,"title":["Grey linear programming: a survey on solving approaches and applications"],"prefix":"10.1108","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5039-2469","authenticated-orcid":false,"given":"Davood","family":"Darvishi","sequence":"first","affiliation":[]},{"given":"Sifeng","family":"Liu","sequence":"additional","affiliation":[]},{"given":"Jeffrey","family":"Yi-Lin 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