Everything about Multi-objective linear programming

🧭 Start here: a 6-step reading path

1. Read the overview: Multi-objective linear programmingA 5-minute orientation
2. Skim a recent paper: A Review on Multi-Objective Mixed-Integer Non-Linear Optimization Programming MethodsInfluential work since 2022
3. Pick up a classic book: Genetic ProgrammingThe most-reprinted book on the subject
4. Read the landmark paper: Fuzzy mathematical programming for multi objective linear fractional programming problemCited 119 times
5. Go sideways: Benson's algorithmA closely related topic
6. Go sideways: Semidefinite programmingA closely related topic

🏆 Landmark papers (most cited)

• Fuzzy mathematical programming for multi objective linear fractional programming problem

  M. Chakraborty, Sandipan Gupta · 2002 · Fuzzy Sets and Systems · 119 citations

• Solving multi-level multi-objective linear programming problems through fuzzy goal programming approach

  Ibrahim A. Baky · 2010 · Applied Mathematical Modelling · 97 citations

• Pareto-optimal solutions in fuzzy multi-objective linear programming

  Mariano Jiménez, Amelia Bilbao · 2009 · Fuzzy Sets and Systems · 88 citations

• Fuzzy programming approach to multi-objective stochastic linear programming problems

  Suwarna Hulsurkar, M.P. Biswal, S.B. Sinha · 1997 · Fuzzy Sets and Systems · 81 citations

• On the fuzzy multi-objective linear programming problem: Goal programming approach

  Hiroaki Kuwano · 1996 · Fuzzy Sets and Systems · 42 citations

• Fuzzy linear regression analysis: a multi-objective programming approach

  Mohammad Mehdi Nasrabadi, Ebrahim Nasrabadi, Ali Reza Nasrabady · 2005 · Applied Mathematics and Computation · 41 citations

• KKT transformation approach for multi-objective multi-level linear programming problems

  Surabhi Sinha, S.B. Sinha · 2002 · European Journal of Operational Research · 38 citations

• A multi‐objective programming approach to solve grey linear programming

  Seyed Hossein Razavi Hajiagha, Hadi Akrami, Shide Sadat Hashemi · 2012 · Grey Systems: Theory and Application · 29 citations

🆕 Influential since 2022

• A Review on Multi-Objective Mixed-Integer Non-Linear Optimization Programming Methods

  Ahmed Jaber, Rafic Younes, Pascal Lafon · 2024 · Eng · 18 citations

• Study on multi-objective linear fractional programming problem involving pentagonal intuitionistic fuzzy number

  D. Sahoo, A.K. Tripathy, J.K. Pati · 2022 · Results in Control and Optimization · 16 citations

• A goal programming approach for multi-objective linear fractional programming problem with LR possibilistic variables

  Hamiden Abd El- Wahed Khalifa, Pavan Kumar · 2022 · International Journal of System Assurance Engineering and Management · 14 citations

• Urban land use allocation with hybrid linear programming – multi-objective ant colony algorithm

  Ali Ramyar, Ali Soltani, Mohammad Ramyar · 2025 · Earth Science Informatics · 11 citations

• Linear programming-based multi-objective floorplanning optimization for system-on-chip

  S. Dayasagar Chowdary, M. S. Sudhakar · 2023 · The Journal of Supercomputing · 10 citations

📚 Books worth reading

• Genetic ProgrammingKrzysztof Krawiec · 2013
• Operations ResearchH. A. Eiselt · 2012
• Neuro-fuzzy and soft computingJyh-Shing Roger Jang, Chuen-Tsai Sun · 1996
• Metaheuristics for Bi-level OptimizationEl-Ghazali Talbi · 2013
• Emerging Technologies for Information Systems, Computing, and ManagementW. Eric Wong · 2013
• Multi-criteria applicationsKenneth D. Lawrence, Ronald K. Klimberg · 2000
• Computational Intelligence Systems in Industrial EngineeringCengiz Kahraman · 2012
• Programming Languages and SystemsRanjit Jhala · 2012

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

🔗 Related topics

• Benson's algorithm Benson's algorithm, named after Harold Benson, is a method for solving multi-objective linear programming problems and vector linear programs. This works…
• Semidefinite programming Semidefinite programming (SDP) is a subfield of mathematical programming concerned with the optimization of a linear objective function (a user-specified…
• Vector optimization Vector optimization is a subarea of mathematical optimization where optimization problems with vector-valued objective functions are optimized with respect…
• Linear-fractional programming In mathematical optimization, linear-fractional programming (LFP) is a generalization of linear programming (LP). Whereas the objective function in a linear…
• Ellipsoid method In mathematical optimization, the ellipsoid method is an iterative method for minimizing convex functions over convex sets. The ellipsoid method generates…
• Multi-objective optimization In multiple-criteria decision making, multi-objective optimization or Pareto optimization (also known as multi-objective programming, vector optimization…
• 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…
• Frank–Wolfe algorithm The Frank–Wolfe algorithm is an iterative first-order optimization algorithm for constrained convex optimization. Also known as the conditional gradient…