A SOLID TRANSPORTATION PROBLEM WITH MIXED CONSTRAINT IN DIFFERENT ENVIRONMENT | Zendy

Amrit Das | Zendy; Uttam Kumar Bera | Zendy; Barun Das | Zendy

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A SOLID TRANSPORTATION PROBLEM WITH MIXED CONSTRAINT IN DIFFERENT ENVIRONMENT

Author(s) -

Amrit Das,

Uttam Kumar Bera,

Barun Das

Publication year - 2016

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2016015

Subject(s) - mathematical optimization , mathematics , heuristic , fuzzy logic , convergence (economics) , constraint (computer aided design) , interval (graph theory) , fuzzy transportation , fuzzy set , fuzzy number , computer science , combinatorics , artificial intelligence , geometry , economics , economic growth

In this paper, we have introduced a Solid Transportation Problem where the constrains are mixed type. The model is developed under different environment like, crisp, fuzzy and intuitionistic fuzzy etc. Using the interval approximation method we defuzzify the fuzzy amount and for intuitionistic fuzzy set we use the (α, β)-cut sets to get the corresponding crisp amount. To find the optimal transportation units a time and space based with order of convergence O(MN) meta-heuristic Genetic Algorithm have been proposed. Also the equivalent crisp model so obtained are solved by using LINGO 13.0. The results obtained using GA treats as the best solution by comparing with LINGO results for this present study. The proposed models and techniques are finally illustrated by providing numerical examples. Degree of efficiency have been find out for both the algorithm.

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