A Profit Maximisation Solid Transportation Problem Using Genetic Algorithm in Fuzzy Environment. Issue 1 (2nd January 2021)

• Record Type: Journal Article
• Authors: Samanta, S.; Ojha, A.; Das, B.; Mondal, S. K.
• Is Part Of: Fuzzy information and engineering. Volume 13:Issue 1(2021)
• Page Start: 40
• Page End: 57
• Publication Date: 2021-01-02
• Subjects: All unit discount -- genetic algorithm -- profit maximisation solid transportation problem -- fuzzy resource and demand; Fuzzy systems -- Periodicals; Intelligent control systems -- Periodicals; 629.89
• DOI: 10.1080/16168658.2021.1915454
• Languages: English
• ISSNs: 1616-8658

Abstract

Abstract : In this paper, a solid transportation problem has been considered in which the transportation is accomplished in two stages – firstly, from the origin(s) to the near by station(s) of the destination(s) and secondly, from the near by station(s) to the exact destination(s). Here, a fuzzy AUD (all unit discount) policy has been introduced based upon the amount of transportation along with a fuzzy fixed charge. In addition, a budget constraint has been incorporated taking fuzzy unit transportation cost. Then the proposed model has been converted into a single objective optimisation problem using interval arithmetic method. To solve the model, Genetic Algorithm (GA) has been used depending on roulette wheel selection, crossover and mutation. Finally, a numerical example has been illustrated to study the feasibility of the model.