Title: Time-cost trade-off in a multi index bi-criteria fixed charge transportation problem

Authors: Sungeeta Singh; Renu Tuli; Deepali Sarode

Addresses: Department of Mathematics, Amity University, Gurugram, Haryana, India ' Department of Mathematics, Amity School of Engineering and Technology, Delhi, India ' Department of Mathematics, Amity University, Gurugram, Haryana, India

Abstract: This paper is motivated by the necessity of finding efficient time-cost trade-off pairs for multi index bi-criteria fixed charge transportation problem wherein time criteria assumes greater significance than cost criteria and is therefore minimised first. So far no study on finding optimal time-cost pairs of the problem has been undertaken, a gap which the newly developed algorithm aims to fulfil. Results of a numerical illustration are obtained by the proposed algorithm by applying extended Vogel's approximation method and extended modified distribution method; it has been observed that the proposed algorithm is a far better alternative in problems in which time minimisation holds priority over cost minimisation.

Keywords: multi index transportation problem; MITP; time-cost trade-off pair; fixed charge.

DOI: 10.1504/IJAOM.2019.100710

International Journal of Advanced Operations Management, 2019 Vol.11 No.3, pp.211 - 231

Received: 21 Nov 2017
Accepted: 11 Oct 2018

Published online: 14 Jun 2019 *

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