Title: Solid transportation problem with budget constraints under interval uncertain environments

Authors: Ajay Kumar Bhurjee; Pankaj Kumar; Saroj Kumar Padhan

Addresses: Department of Mathematics, National Institute of Science and Technology, Palur Hills, Berhampur-761008, India ' Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur-721302, India ' Department of Mathematics, Veer Surendra Sai University of Technology, Burla-768018, India

Abstract: A solid transportation problem is formulated in the form of an interval linear programming problem, where transportation cost, availability, requirement, conveyance capacity and budget for destinations are represented as closed intervals. This problem is converted into a deterministic linear programming problem using some positive weight functions and establishes the relation between the solutions of both problems. Further, a novel methodology is developed to study the existence of solutions in interval solid transportation problems. Numerical example is illustrated to justify the efficiency of the proposed method.

Keywords: solid transport problems; STP; interval analysis; partial ordering; linear programming; budget constraints; interval uncertainty; availability; conveyance capacity.

DOI: 10.1504/IJPMB.2017.083104

International Journal of Process Management and Benchmarking, 2017 Vol.7 No.2, pp.172 - 182

Received: 13 May 2015
Accepted: 02 Jul 2015
Published online: 21 Mar 2017 *

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