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Fuzzy programming for multi-choice bilevel transportation problem

Arora Ritu, Gupta Kavita

Operations Research and Decisions

2021

Vol. 31, No. 3

5--21

Multi-choice programming problems arise due to the diverse needs of people. In this paper, multichoice optimization has been applied to the bilevel transportation problem. This problem deals with transportation at both the levels, upper as well as lower. There are multiple choices for demand and supply parameters. The multi-choice parameters at the respective levels are converted into polynomials which transmute the defined problem into a mixed integer programming problem. The objective of the paper is to determine a solution methodology for the transformed problem. The significance of the formulated model is exhibited through an example by applying it to the hotel industry. The fuzzy programming approach is employed to obtain a satisfactory solution for the decision-makers at the two levels. A comparative analysis is presented in the paper by solving the bilevel multi-choice transportation problem with goal programming mode as well as by the linear transformation technique. The example is solved using computing software.

Channels focused production and allocation planning for a steel supply chain - a fuzzy goal programming with priority approach

Tsai M., Chen Y. J., You S. Y.

Foundations of Computing and Decision Sciences

2009

Vol. 34, No. 2

125-152

This paper presents a fuzzy multi-objective decision model for a vertically integrated steel supply chain to produce and allocate scarce steel products among a set of alternative distribution channels based on their past performances. The objectives include net profits, inventory costs, backorder amounts, rate of end user claims and late lading amounts. Uncertainty in market demand and capacity is considered in the model to reflect the current steel industry environment. Using the concepts of additive criterion and preemptive priority, the proposed model generates a robust and preferred tactical plan by specifying desired satisfaction levels, demand fulfilment rates and capacity utilization according to the operations and channels management policy. We validated the model with the operational data and parameters of a major Taiwan based integrated steel manufacturer. The results show that the model can effectively handle channel focused production and allocation planning problems under uncertain industry environments.