Least-looping stepping-stone-based ASM approach for transportation and triangular intuitionistic fuzzy transportation problems

Abstract Transportation problem (TP) is a popular branch of Linear Programming Problem in the field engineering. Over years, attempts have been made finding improved approaches to solve TPs. Recently, Quddoos et al. (Int J Comput Sci Eng (IJCSE) 4(7): 1271–1274, 2012), an efficient approach, namely ASM, proposed for solving crisp However, it found that ASM fails provide better optimal solution some cases. Therefore, new and appoach this paper enhance inherent mechanism existing method both TPs Triangular Intuitionistic Fuzzy Problems (TIFTPs). A least-looping stepping-stone has employed as one key factors improve quality, which version (Roy Hossain in, Operation research Titus Publication, 2015). Unlike stepping stone method, only deals with few selected non-basic cells under prescribed conditions hence minimizes computational burden. framework (namely LS-ASM) combination (Quddoos 2012) approach. To validate performance LS-ASM, set six case studies real-world (those include TIFTPs) solved. The statistical results obtained by LS-ASM well compared modified distribution (MODI) original well. confirm superiority over other algorithms less computationl effort.