Title: A mixed-integer quadratic programming production-transportation problem

Authors: Dominic Otoo; Bernard Atta Adjei; Sampson Takyi Appiah

Addresses: Department of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, Ghana ' Department of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, Ghana ' Department of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, Ghana

Abstract: One economic challenge encountered by most companies that produce and haul their local products to independent distributors is accurately identifying the optimal routes to each distribution centre and assigning production machinery. The authors in this paper have collaboratively developed a mixed-integer quadratic model that optimally assigns machines and vehicles to produce and properly distribute goods to multiple distributors in 105 locations dotted across the 16 regions of the country based on their demand constraints. Our formulated model and analysis show that the production cost accounts for 0.7933 and transportation cost accounts for 0.2066 of the total cost. Our results have convincingly shown a cost reduction of 10% and 25% respectively in terms of production and transportation cost as compared to the cost currently operated by the two local factories under consideration.

Keywords: optimal; integer programing; production; transportation; distributors.

DOI: 10.1504/IJOR.2023.134781

International Journal of Operational Research, 2023 Vol.48 No.3, pp.338 - 356

Received: 17 Jul 2020
Accepted: 03 Mar 2021
Published online: 10 Nov 2023 *

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