Solutions of Real-World Problems Using Transportation Method

This paper explores the transportation problem, a classical optimization problem in operations research. The model considers multiple origins (factories) that supply products and multiple destinations (warehouses) that demand them. The objective is to determine the transportation plan that minimizes the total shipping cost while satisfying both supply and demand constraints. Each unit transported from a factory to a warehouse incurs a specific cost. This study presents the mathematical formulation of the problem and illustrates the basic structure using a tabular representation. The work also discusses how various constraints and decision variables interact within the model to identify the optimal transportation pattern.

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Publication Details

Journal
VFAST Transactions on Mathematics
Published
2025-06-30
DOI
https://doi.org/10.21015/vtm.v13i1.2109
Primary Topic
Optimization and Mathematical Programming
Type
article
Field-Weighted Citation Impact
0.00
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article

Solutions of Real-World Problems Using Transportation Method

Syed Muhammad Ghufran, Shakoor Muhammad, Khalil Ullah, Waqar Ahamd
VFAST Transactions on Mathematics
Optimization and Mathematical Programming
article

Solutions of Real-World Problems Using Transportation Method

Syed Muhammad Ghufran, Shakoor Muhammad, Khalil Ullah, Waqar Ahamd
article en

Abstract

This paper explores the transportation problem, a classical optimization problem in operations research. The model considers multiple origins (factories) that supply products and multiple destinations (warehouses) that demand them. The objective is to determine the transportation plan that minimizes the total shipping cost while satisfying both supply and demand constraints. Each unit transported from a factory to a warehouse incurs a specific cost. This study presents the mathematical formulation of the problem and illustrates the basic structure using a tabular representation. The work also discusses how various constraints and decision variables interact within the model to identify the optimal transportation pattern.

VFAST Transactions on MathematicsVol. 13(1)
Abdul Wali Khan University Mardan (PK)
Openalex Percentile: Top 66%
Optimization and Mathematical Programming
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Solutions of Real-World Problems Using Transportation Method — Syed Muhammad Ghufran, Shakoor Muhammad, et al. · VFAST Transactions on Mathematics (2025) | TGRS Research Map | TGRS