Abstract
This paper constructs an uncertain mathematical model for the fixed charge transportation problem in which several kinds of items are transported from different sources to various destinations via different methods. In addition, after-sale service such as product return and exchange that help to raise the customer’s satisfaction is considered during the trade to meet the reality. Meanwhile, some indeterministic factors may occur during the transportation process; probability theory is not the best option due to the lack of adequate historical data. In the light of this statement, some parameters like supplies, demands, return rate, and exchange rate are all defined as uncertain variables to formulate the uncertain programming model. After that, the equivalent deterministic models are derived with the help of uncertainty theory. Finally, some numerical experiments are implemented via three algorithms; the optimal values are displayed and compared to show the application of this problem. The study of this paper provides an applicable method for the decision maker.
Highlights
Transportation has participated in human’s daily life for quite a long period, which establishes closer connections between different persons and locations, facilitating the globalization
This paper focuses on the fixed charge transportation problem under the uncertain environment, proposing the mathematical model and corresponding solution methods
Some parameters are supposed to follow uncertain distributions. en, the basic model is evolved to two other uncertain models in the expected value criterion and chanceconstrained criterion, respectively, and their deterministic forms are achieved via uncertainty inverse distribution method
Summary
Transportation has participated in human’s daily life for quite a long period, which establishes closer connections between different persons and locations, facilitating the globalization. In reality, many uncertain factors such as traffic flow or weather condition may occur during the transportation process, making the problems more complex In this condition, this paper focuses on the fixed charge transportation problem under the uncertain environment, proposing the mathematical model and corresponding solution methods. In reality, their always exit some indeterministic factors during the transportation To make this problem more realistic, this paper puts uncertain factors into this FCTP, establishing an uncertain programming model with the help of uncertainty theory, where after-sale service is considered. Low frequency events will occur in our daily life; at this moment, uncertainty theory takes its effect Under this circumstance, how to schedule a proper transportation plan to lower the total costs is a challenge.
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