Everything about Basic feasible solution

🧭 Start here: a 6-step reading path

1. Read the overview: Basic feasible solutionA 5-minute orientation
2. Skim a recent paper: Random forest algorithm integrated with an initial basic feasible solution in buckling analysis of a two-dimensional functionally graded porous taper beamInfluential work since 2022
3. Pick up a classic book: Technical CommunicationThe most-reprinted book on the subject
4. Read the landmark paper: A novel approximation method to obtain initial basic feasible solution of transportation problemCited 29 times
5. Go sideways: Dual linear programA closely related topic
6. Go sideways: Simplex algorithmA closely related topic

🏆 Landmark papers (most cited)

• A novel approximation method to obtain initial basic feasible solution of transportation problem

  Kenan Karagul, Yusuf Sahin · 2020 · Journal of King Saud University - Engineering Sciences · 29 citations

• A new heuristic method of finding the initial basic feasible solution to solve the transportation problem

  Bilqis Amaliah, Chastine Fatichah, Erma Suryani · 2022 · Journal of King Saud University - Computer and Information Sciences · 23 citations

• New Procedure of Finding an Initial Basic Feasible Solution of the Time Minimizing Transportation Problems

  Mollah Mesbahuddin Ahmed, Md. Amirul Islam, Momotaz Katun · 2015 · Open Journal of Applied Sciences · 16 citations

• Finding an Initial Basic Feasible Solution for DEA Models with an Application on Bank Industry

  Mehdi Toloo, Atefeh Masoumzadeh, Mona Barat · 2014 · Computational Economics · 13 citations

• Three new methods to find initial basic feasible solution of transportation problems

  Eghbal Hosseini · 2017 · Applied Mathematical Sciences · 10 citations

• An Advanced Dual Basic Feasible Solution for a Class of Capacitated Generalized Networks

  John Hultz, Darwin Klingman, Robert Russell · 1976 · Operations Research · 8 citations

• A NEW APPROACH TO FIND THE INITIAL BASIC FEASIBLE SOLUTION OF A TRANSPORTATION PROBLEM

  Ravi Kumar R, Radha Gupta, Karthiyayini O · 2018 · International Journal of Research -GRANTHAALAYAH · 8 citations

• Modified VOGEL Method to Find Initial Basic Feasible Solution (IBFS) Introducing a New Methodology to Find Best IBFS

  Muwafaq Mohammed Alkubaisi · 2015 · Business and Management Research · 7 citations

🆕 Influential since 2022

• Random forest algorithm integrated with an initial basic feasible solution in buckling analysis of a two-dimensional functionally graded porous taper beam

  Ravikiran Chinthalapudi, Jagadesh Kumar Jatavallabhula, Geetha Narayanan Kannaiyan · 2025 · Materials Research Express · 8 citations

• A new approach for finding an initial basic feasible solution to a transportation problem

  Mohamed Hilal Abdelatli Abdelwali · 2024 · Journal of Advanced Engineering Trends · 6 citations

• An efficient computational approach for basic feasible solution of fuzzy transportation problems

  Anshika Agrawal, Neha Singhal · 2024 · International Journal of System Assurance Engineering and Management · 5 citations

• The maximum range method for finding initial basic feasible solution for transportation problems

  Fredrick Asenso Wireko, Ignatius Dennis Kwesi Mensah, Emmanuel Nii Apai Aborhey · 2025 · Results in Control and Optimization · 5 citations

• Using the largest difference method to find the initial basic feasible solution to the transportation problem

  Yaqoob Ali-Hussein, Mushtak A. K. Shiker · 2022 · Journal of Interdisciplinary Mathematics · 5 citations

📚 Books worth reading

• Technical CommunicationJohn M. Lannon · 2000
• Operations ManagementRoberta S. Russell, Bernard Taylor · 1998
• Microwave solutions for ceramic engineersDavid E. Clark · 2004
• Mathematical programming at Oberwolfach IIB. H. Korte, M. L. Balinski · 1984
• NanosystemsK. Eric Drexler · 1992
• The veterinary laboratory and field manualS. C. Cork, Susan C. Cork · 2002
• 📕Extreme points and basic feasible solutions in continuous time linear programmingAndré F. Perold · 1979
• Linear Algebra I Matrices and Row operationsKenneth Kuttler · 2013

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

• Dual linear program The dual of a given linear program (LP) is another LP that is derived from the original (the primal) LP in the following schematic way: Each variable in…
• Simplex algorithm In mathematical optimization, Dantzig's simplex algorithm (or simplex method) is an algorithm for linear programming. The name of the algorithm is derived…
• Karmarkar–Karp bin packing algorithms The Karmarkar–Karp (KK) bin packing algorithms are several related approximation algorithm for the bin packing problem. The bin packing problem is a problem…
• Linear programming Linear programming (LP), also called linear optimization, is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical…
• Semidefinite programming Semidefinite programming (SDP) is a subfield of mathematical programming concerned with the optimization of a linear objective function (a user-specified…
• Linear-fractional programming In mathematical optimization, linear-fractional programming (LFP) is a generalization of linear programming (LP). Whereas the objective function in a linear…
• Duality (optimization) In mathematical optimization theory, duality or the duality principle is the principle that optimization problems may be viewed from either of two perspectives…
• Ellipsoid method In mathematical optimization, the ellipsoid method is an iterative method for minimizing convex functions over convex sets. The ellipsoid method generates…