An Aspect of Bilevel Fixed Charge Fractional Transportation Problem

作     者：Kaushal, Bindu Arora, Ritu Arora, Shalini 

作者机构：Department of Applied Sciences and Humanities Indira Gandhi Delhi Technical University For Women New Delhi 110006 India Keshav Mahavidyalaya University of Delhi Delhi India 

出 版 物：《International Journal of Applied and Computational Mathematics》 (Internat. J. Appl. Comput. Math.)

年 卷 期：2020年第6卷第1期

页      面：1-19页

学科分类：07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070102[理学-计算数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：Bilevel programming Fixed charge transportation problem (FCTP) Fractional transportation problem (FTP) Non convex optimization Optimal solution 

摘      要：Bilevel Programming Problem (BLPP) is a hierarchical optimization problem. Here, the constraint set of the upper level problem, called the leader, is ascertained by the lower level problem, called the follower. In this paper, a BLPP is considered where the leader’s problem is a fractional transportation problem and the follower’s problem is a fixed charge transportation problem. Hence, a bilevel fixed charge fractional transportation problem (BLFCFTP) is formulated. The problem is also explained through graphical representation. The problem comes from a food chain industry which is utilizing its used vegetable cooking oil for the production of biodiesel. The mathematical model of the problem is presented and is also explained through graphical representation. The problem pertains to a food chain industry wherein the used vegetable cooking oil is utilized for the production of biodiesel. Another example quotes Indore city where waste is converted into bio-CNG which is used to run public transport. The managerial importance of the work is that it will promote a sustainable and environment friendly practice. This will result in reduction of waste and check environmental pollution. An algorithm to solve BLFCFTP is developed. The examples explaining the algorithm are exhibited by a viable situation. These examples are subsequently deciphered in MATLAB. © 2020, Springer Nature India Private Limited.