Title: Multi-item multi-choice integrated optimisation in inventory transportation problem with stochastic supply

Authors: Gurupada Maity; Sankar Kumar Roy

Addresses: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721102, West Bengal, India ' Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721102, West Bengal, India

Abstract: This paper explores the study of multi-item multi-choice transportation problem (TP) in the ground of inventory optimisation. Using the concept of basic inventory optimisation, we develop a methodology for integrated optimisation in inventory transportation (IOIT) to reduce the logistic cost of a system. To accommodate the present situations of real-life TP, the stochastic supply is taken into consideration in the article. We describe a technique to reduce stochastic constraint to deterministic constraint with the help of stochastic programming. An algorithm is presented to solve the proposed problem using MATLAB. Then the proposed problem is solved by well-known optimisation technique; and the obtained solution is compared with the solution of basic inventory optimisation method. An example is presented to verify the effectiveness of the paper.

Keywords: transportation problem; multi-item inventory problem; multi-choice programming; stochastic programming.

DOI: 10.1504/IJOR.2019.101197

International Journal of Operational Research, 2019 Vol.35 No.3, pp.318 - 339

Received: 11 Jan 2016
Accepted: 03 Jul 2016
Published online: 29 Jul 2019 *

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