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ISSN Approved Journal No: 2456-3315 | Impact factor: 8.14 | ESTD Year: 2016
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Impact Factor : 8.14

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Paper Title: AN EXTENDED PENALTY METHOD TO SOLVE TRANSPORTATION PROBLEM
Authors Name: Ankit Verma , Bhavna Singh Ghosh , Satakshi
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IJRTI_206520
Published Paper Id: IJRTI2510046
Published In: Volume 10 Issue 10, October-2025
DOI: https://doi.org/10.56975/ijrti.v10i10.206520
Abstract: The transportation problem aims to find the best way to move goods from suppliers to customers at the lowest possible cost, while making sure all supply and demand needs are fulfilled. There are several methods to solve transportation problems for Initial Basic Feasible Solution ‘IBFS’. Like Least Cost Method ‘LCM’, Northwest Corner Method ‘NWCM’ and Vogel's Approximation Method ‘VAM’. Several methods have been proposed in recent years to solve such difficulties. In this paper, a method named Extended Penalty Method ‘EPM’ is developed to get a better Initial Basic Feasible Solution ‘IBFS’ of a transportation problem. In this paper a method have been proposed to checked for balanced transportation problems with no degeneracy. The proposed method Extended Penalty Method ‘EPM’ obtains a better Initial Basic Feasible Solution ‘IBFS’ compared to the VAM, which is the optimal solution of the given transportation problem. It consistently provide yields results that are either better or equivalent or a nearly optimal solution.
Keywords: Transportation Problem, IBFS, LCM, NWCM, VAM, Optimal Solution
Cite Article: "AN EXTENDED PENALTY METHOD TO SOLVE TRANSPORTATION PROBLEM", International Journal of Science & Engineering Development Research (www.ijrti.org), ISSN:2455-2631, Vol.10, Issue 10, page no.a493-a501, October-2025, Available :http://www.ijrti.org/papers/IJRTI2510046.pdf
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ISSN: 2456-3315 | IMPACT FACTOR: 8.14 Calculated By Google Scholar| ESTD YEAR: 2016
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.14 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator
Publication Details: Published Paper ID: IJRTI2510046
Registration ID:206520
Published In: Volume 10 Issue 10, October-2025
DOI (Digital Object Identifier): https://doi.org/10.56975/ijrti.v10i10.206520
Page No: a493-a501
Country: Prayagraj, Uttar Pradesh, India
Research Area: Mathematics
Publisher : IJ Publication
Published Paper URL : https://www.ijrti.org/viewpaperforall?paper=IJRTI2510046
Published Paper PDF: https://www.ijrti.org/papers/IJRTI2510046
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ISSN: 2456-3315
Impact Factor: 8.14 and ISSN APPROVED, Journal Starting Year (ESTD) : 2016

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