Multi-index transportation problem: An overview of its variants, solution techniques and applications
Keywords:
Multi-index Transportation Problem, Solution Approaches, Applications, Systematic Review, Logistics ResearchAbstract
Multi-index Transportation Problem (MTP) and its variants have originated to model one of the complex scenarios of transportation problem where cost and/or time of transportation also depend upon type of transported commodity and/or freight vehicle used in transportation along with given sources and destinations. In almost last six and half decades, researchers have extensively studied MTP and its variants from different perspectives, developed many solution approaches and established its applicability by modeling manyproblems of engineering and management as MTP. However, a comprehensive review of the problem domain is surprisingly absent from the concerned literature, therefore, this paper strives to fill this void by systematically examining 59published articlesfiltered through a well-defined search criterion. Methodologically, the examined articles arecategorizedinto various classes based on two, possibly exhaustive but certainly not exclusive, attributes of classification, one is, approach used to study the problem and, another is, contribution of the study. Classification is presented in a two-way tabular form that will serve as a guiding map to young researchers who are intending to study MTP, its variants, and/or applications in engineering and management.This paper also provides an indication for the future work. It concludes that, since its inception, MTP has evolved as one of the very important problem domains in logistics research and metaheuristic approach has contributed most in its study.
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