A Solid Transportation Problem with Partial Non-Linear Transportation CostAnupam Ojha*, Shyamal Kumar Mondal and Manoranjan Maiti
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore - 721102, India
- *Corresponding Author:
- Anupam Ojha
Department of Applied Mathematics with
Oceanology and Computer Programming
Vidyasagar University, Midnapore–721102, India
Tel: 3222 276 554
E-mail: [email protected]
Received August 17, 2013; Accepted January 02, 2014; Published January 09, 2014
Citation: Ojha A, Mondal SK, Maiti M (2014) A Solid Transportation Problem with Partial Non-Linear Transportation Cost. J Appl Computat Math 3: 150. doi: 10.4172/2168-9679.1000150
Copyright: © 2014 Ojha A, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
This paper deals with a capacitated, multi-objective and solid transportation problem with imprecise nature of resources, demands, capacity of conveyance and cost. Here transportation cost is inversely varying with the quantity-to be transported from source to destinations in addition with a fixed per unit cost and a small vehicle cost. The transportation problem has been formulated as a constrained fuzzy non-linear programming problem. Next it is transformed into an equivalent crisp multi-objective problem using fuzzy interval approximation and then solved by Interactive Fuzzy Programming Technique (IFPT) and Generalized Reduced Gradient (GRG) method. An illustrative numerical example is demonstrated to find the optimal solution of the proposed model.