Title: LR-optimal solution of nonlinear optimisation problem with varying parameters

Authors: Mrinal Jana; Geetanjali Panda

Addresses: Department of Mathematics, University of Petroleum & Energy Studies, Dehradun-248007, Uttarakhand, India ' Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur-721302, West Bengal, India

Abstract: In this paper, a nonlinear optimisation problem is studied in uncertain environment. The objective function and constraints of this problem are interval valued functions. The solution of the problem is defined with respect to LR-partial order relation, and methodology is developed to derive these solutions. The proposed methodology is illustrated through numerical examples. A possible application of the optimisation model in finance is described at the end.

Keywords: nonlinear optimisation problem; interval analysis; interval valued function; partial order relation; decision-making problem.

DOI: 10.1504/IJOR.2018.096485

International Journal of Operational Research, 2018 Vol.33 No.4, pp.431 - 445

Received: 26 May 2015
Accepted: 04 Dec 2015
Published online: 05 Dec 2018 *

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