Interval Oriented Entropy Based Multi-item Solid Transportation Problem with Budget and Breakability
TL;DR: This work investigates two transportation models with interval transportation parameters and presents a solution of their newly developed models using appropriate methods and applies weighted sum method to convert the multi-objective programming problem into single-objectives problem.
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Abstract: To maximization the total profit and minimization the total cost we investigate two transportation models with interval transportation parameters and we present a solution of our newly developed models using appropriate methods. The solid transportation problem has been formulated with and without interval entropy function defined by Shannon’s measure of entropy. Also an additional constraint on the total budget at each destination is imposed. When we transport the goods from plants to destination then few items should be damage due to bad condition of route and vehicles, for this reason we introduce the breakability in our respective models. We employ two different approaches (Hu and Wang’s Approach and Mahato and Bhunia’s Approach) based on interval ranking and made a comparison on it. To convert the multi-objective programming problem into single-objective problem we apply weighted sum method. The models are illustrated with numerical examples and solved using the LINGO.13 optimization software. The results of the models with and without entropy are also obtained and compared.
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References
•Book
Methods and applications of interval analysis
Ramon E. Moore
- 01 Jan 1987
TL;DR: Finite representations Finite evaluation Finite convergence Computable sufficient conditions for existence and convergence Safe starting regions for iterative methods.
3.6K
•Book
Introduction to Interval Analysis
Ramon E. Moore,R. Baker Kearfott,Michael J. Cloud +2 more
- 16 Apr 2009
TL;DR: This unique book provides an introduction to a subject whose use has steadily increased over the past 40 years, and provides broad coverage of the subject as well as the historical perspective of one of the originators of modern interval analysis.
2.7K
•Book
Applied Interval Analysis
Luc Jaulin,Michel Kieffer,Olivier Didrit,Eric Walter +3 more
- 30 Aug 2001
1.8K
Multiobjective programming in optimization of the interval objective function
Hisao Ishibuchi,Hideo Tanaka +1 more
TL;DR: In this article, a mathematical programming problem whose objective function has interval coefficients is investigated and the order relations which represent the decision maker's preference between interval profits are defined by the right limit, the left limit, center and width of an interval.
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