A Review of Goal Programming

The field of goal programming is continuing to develop at a rapid pace. New variants of the goal programming model are being introduced into the literature and existing variants combined together to form a more comprehensive and flexible modelling structure. Goal programming is also being applied to wide a range of modern applications and is increasingly being used in combination with other techniques from operations research and artificial intelligence to enhance its modelling flexibility. This paper presents a review of the field of goal programming focussing on recent developments. The current range of goal programming variants is described. The range of techniques that goal programming has been combined or integrated with is discussed. A range of modern applications of goal programming are given and conclusions are drawn.

[1]  Parag C. Pendharkar,et al.  DEA based dimensionality reduction for classification problems satisfying strict non-satiety assumption , 2011, Eur. J. Oper. Res..

[2]  Jay B. Ghosh,et al.  Market- and Merit-Based Adjustment of faculty Salaries , 2007, Asia Pac. J. Oper. Res..

[3]  John T. Coshall,et al.  A management orientated approach to combination forecasting of tourism demand , 2011 .

[4]  N. S. Arunraj,et al.  Risk-based maintenance policy selection using AHP and goal programming. , 2010 .

[5]  José Luis García-Lapresta,et al.  Performance appraisal based on distance function methods , 2010, Eur. J. Oper. Res..

[6]  William W. Cooper,et al.  Origins, uses of, and relations between goal programming and data envelopment analysis , 2005 .

[7]  Marc J. Schniederjans,et al.  Goal Programming: Methodology and Applications , 2010 .

[8]  Jean Pierre Brans,et al.  A PREFERENCE RANKING ORGANIZATION METHOD , 1985 .

[9]  P. Vincke,et al.  Note-A Preference Ranking Organisation Method: The PROMETHEE Method for Multiple Criteria Decision-Making , 1985 .

[10]  Blanca Pérez-Gladish,et al.  Fuzzy Extended Lexicographic Goal Programming , 2004 .

[11]  Theodor J. Stewart,et al.  Goal directed benchmarking for organizational efficiency , 2010 .

[12]  Noel Bryson,et al.  A Goal Programming Method for Generating Priority Vectors , 1995 .

[13]  Lixing Yang,et al.  A bicriteria solid transportation problem with fixed charge under stochastic environment , 2007 .

[14]  Ron Janssen,et al.  Multiobjective Decision Support for Land-Use Planning , 2008 .

[15]  William W. Cooper,et al.  A goal interval programming model for resource allocation in a marine environmental protection program , 1976 .

[16]  R. S. Laundy,et al.  Multiple Criteria Optimisation: Theory, Computation and Application , 1989 .

[17]  Lorraine R. Gardiner,et al.  Unified interactive multiple objective programming , 1994 .

[18]  Habib Chabchoub,et al.  Goal Programming Model for Fire and Emergency Service Facilities Site Selection , 2010, INFOR Inf. Syst. Oper. Res..

[19]  Abraham Charnes,et al.  Optimal economic stabilization policy: Linear goal-interval programming models , 1972 .

[20]  Rafael Caballero,et al.  Meta-goal programming , 2002, Eur. J. Oper. Res..

[21]  Mikael Rönnqvist,et al.  Cost‐effective age structure and geographical distribution of boreal forest reserves , 2010, The Journal of applied ecology.

[22]  Yeliz Ekinci.  Demand assignment: a DEA and goal programming approach , 2007 .

[23]  Theodor J. Stewart,et al.  A genetic algorithm approach to multiobjective land use planning , 2004, Comput. Oper. Res..

[24]  Amelia Bilbao-Terol,et al.  Selecting Portfolios Given Multiple Eurostoxx-Based Uncertainty Scenarios: A Stochastic Goal Programming Approach from Fuzzy Betas , 2009, INFOR Inf. Syst. Oper. Res..

[25]  Bimal Nepal,et al.  An integrated fuzzy-goal-programming-based framework for selecting suppliers in strategic alliance formation , 2008 .

[26]  Kim Fung Lam,et al.  Minimizing deviations of input and output weights from their means in data envelopment analysis , 2011, Comput. Ind. Eng..

[27]  Jay M. Rosenberger,et al.  A hybrid approach of goal programming for weapon systems selection , 2010, Comput. Ind. Eng..

[28]  Tunjo Perić,et al.  Optimization of livestock feed blend by use of goal programming , 2011 .

[29]  H. Simon,et al.  Models of Man. , 1957 .

[30]  Xi-Zhao Wang,et al.  An Overview of Pattern Classification Methodologies , 2006, 2006 International Conference on Machine Learning and Cybernetics.

[31]  Hichem Kamoun,et al.  Multiobjective study to implement outpatient appointment system at Hedi Chaker Hospital , 2011, Simul. Model. Pract. Theory.

[32]  Hokey Min,et al.  On the Origin and Persistence of Misconceptions in Goal Programming , 1991 .

[33]  Chwen-Tzeng Su,et al.  Activity assigning of fourth party logistics by particle swarm optimization-based preemptive fuzzy integer goal programming , 2010, Expert Syst. Appl..

[34]  Ching-Ter Chang,et al.  Multi-choice goal programming , 2007 .

[35]  Mehrdad Tamiz,et al.  Goal Programming in the Period 1990–2000 , 2003 .

[36]  R. Dua,et al.  Multi-criteria optimization for obtaining efficiently blended transformer oils , 2008, IEEE Transactions on Dielectrics and Electrical Insulation.

[37]  James P. Ignizio,et al.  Pattern classification via linear programming , 1993 .

[38]  Ying-Ming Wang,et al.  A goal programming method for obtaining interval weights from an interval comparison matrix , 2007, Eur. J. Oper. Res..

[39]  Kalyanmoy Deb,et al.  Multi-objective optimization using evolutionary algorithms , 2001, Wiley-Interscience series in systems and optimization.

[40]  Chen-Shu Wang,et al.  Integrated Genetic Algorithm and Goal Programming for Network Topology Design Problem With Multiple Objectives and Multiple Criteria , 2008, IEEE/ACM Transactions on Networking.

[41]  A. Charnes,et al.  A goal programming/constrained regression review of the Bell system breakup , 1988 .

[42]  Włodzimierz Ogryczak,et al.  On goal programming formulations of the reference point method , 2001, J. Oper. Res. Soc..

[43]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[44]  Waiel F. Abd El-Wahed,et al.  Interactive fuzzy goal programming for multi-objective transportation problems ☆ , 2006 .

[45]  Stephen C. H. Leung,et al.  A non-linear goal programming model and solution method for the multi-objective trip distribution problem in transportation engineering , 2007 .

[46]  Mehrdad Tamiz,et al.  Goal programming, compromise programming and reference point method formulations: linkages and utility interpretations , 1998, J. Oper. Res. Soc..

[47]  Carlos Romero,et al.  A general structure of achievement function for a goal programming model , 2004, Eur. J. Oper. Res..

[48]  Dušan Teodorović,et al.  Performance evaluation of bus routes: A provider and passenger perspective , 2007 .

[49]  Mehrdad Tamiz,et al.  Goal programming and Pareto efficiency , 1996 .

[50]  Turan Paksoy,et al.  Revised multi-choice goal programming for multi-period, multi-stage inventory controlled supply chain model with popup stores in Guerrilla marketing , 2010 .

[51]  Abraham Charnes,et al.  Programming with linear fractional functionals , 1962 .

[52]  M. Tiwari,et al.  A fuzzy goal-programming model of machine-tool selection and operation allocation problem in FMS: a quick converging simulated annealing-based approach , 2006 .

[53]  Saul I. Gass.  The setting of weights in linear goal-programming problems , 1987, Comput. Oper. Res..

[54]  Irem Ozkarahan,et al.  A supply chain distribution network design model: An interactive fuzzy goal programming-based solution approach , 2008 .

[55]  Abraham Charnes,et al.  Measuring the efficiency of decision making units , 1978 .

[56]  Rb Flavell,et al.  A new goal programming formulation , 1976 .

[57]  Mehrdad Tamiz,et al.  A review of Goal Programming and its applications , 1995, Ann. Oper. Res..

[58]  S. F. P. Saramago,et al.  Multiobjective optimization techniques applied to engineering problems , 2010 .

[59]  F. Glover,et al.  Simple but powerful goal programming models for discriminant problems , 1981 .

[60]  Francisco Manzano-Agugliaro,et al.  Economics and environmental analysis of Mediterranean greenhouse crops , 2010 .

[61]  Timothy R. Anderson,et al.  Exploring the impact of technology development and adoption for sustainable hydroelectric power and , 2010 .

[62]  Sang M. Lee,et al.  Goal programming for decision analysis , 1972 .

[63]  Ching-Ter Chang.  Revised multi-choice goal programming , 2008 .

[64]  Burcu Yilmaz,et al.  A combined approach for equipment selection: F-PROMETHEE method and zero-one goal programming , 2011, Expert Syst. Appl..

[65]  Mehrdad Tamiz,et al.  Interactive Frameworks for Investigation of Goal Programming Models: Theory and Practice , 1997 .

[66]  Mehrdad Tamiz,et al.  Goal programming for decision making: An overview of the current state-of-the-art , 1998, Eur. J. Oper. Res..

[67]  Rafael Caballero,et al.  Interactive meta-goal programming , 2006, Eur. J. Oper. Res..

[68]  Abraham Charnes,et al.  Management Models and Industrial Applications of Linear Programming , 1961 .

[69]  R. Narasimhan.  GOAL PROGRAMMING IN A FUZZY ENVIRONMENT , 1980 .

[70]  Ching-Ter Chang,et al.  Mixed binary interval goal programming , 2006, J. Oper. Res. Soc..

[71]  Amy H. I. Lee,et al.  An evaluation framework for product planning using FANP, QFD and multi-choice goal programming , 2010 .

[72]  Keivan Ghoseiri,et al.  Multi-objective vehicle routing problem with time windows using goal programming and genetic algorithm , 2010, Appl. Soft Comput..

[73]  Xavier Gandibleux,et al.  Multiobjective Combinatorial Optimization — Theory, Methodology, and Applications , 2003 .

[74]  Hirotaka Nakayama,et al.  Pattern Classification by Linear Goal Programming and its Extensions , 1998, J. Glob. Optim..

[75]  Belaïd Aouni,et al.  A new approach for generating efficient solutions within the goal programming model , 2011, J. Oper. Res. Soc..

[76]  Ivo J. B. F. Adan,et al.  Improving operational effectiveness of tactical master plans for emergency and elective patients under stochastic demand and capacitated resources , 2011, Eur. J. Oper. Res..

[77]  Felix T.S. Chan,et al.  Ant colony optimization approach to a fuzzy goal programming model for a machine tool selection and operation allocation problem in an FMS , 2006 .

[78]  Bimal Nepal,et al.  A methodology for integrating design for quality in modular product design , 2006 .

[79]  A. Bhattacharya.  A goal programming approach for developing pre-harvest forecasts of crop yield , 2006, J. Oper. Res. Soc..

[80]  E. Hannan.  ON FUZZY GOAL PROGRAMMING , 1981 .

[81]  Hirotaka Nakayama,et al.  MOP/GP models for machine learning , 2005, Eur. J. Oper. Res..

[82]  Dylan F. Jones,et al.  A distance-metric methodology for the derivation of weights from a pairwise comparison matrix , 2004, J. Oper. Res. Soc..

[83]  Mehrdad Tamiz,et al.  Extensions of Pareto efficiency analysis to integer goal programming , 1999 .

[84]  Jean-Marc Martel,et al.  Incorporating the Decision-maker's Preferences in the Goal-programming Model , 1990 .

[85]  Hsing-Pei Kao,et al.  An integrated fuzzy TOPSIS and MCGP approach to supplier selection in supply chain management , 2011, Expert Syst. Appl..

[86]  Fouad Ben Abdelaziz,et al.  A Discrete Stochastic Goal Program for Portfolio Selection: The Case of United Arab Emirates Equity Market , 2009, INFOR Inf. Syst. Oper. Res..

[87]  Manoj Kumar Tiwari,et al.  B2B multi-attribute e-procurement: an artificial immune system based goal programming approach , 2011 .

[88]  Rafael Caballero,et al.  Sawing planning using a multicriteria approach , 2009 .

[89]  Simone Bauch,et al.  Fitting a taper function to minimize the sum of absolute deviations , 2006 .

[90]  Ismael Moya,et al.  A goal programming approach to estimating performance weights for ranking firms , 2010, Comput. Oper. Res..

[91]  Apu Kumar Saha,et al.  Multi Criteria Decision Making , 2016 .

[92]  S. R. Arora,et al.  Interactive fuzzy goal programming approach for bilevel programming problem , 2009, Eur. J. Oper. Res..

[93]  J. P. Ignizio,et al.  Optimal maintenance headcount allocation: an application of Chebyshev Goal Programming , 2004 .

[94]  Wann-Ming Wey,et al.  Using ANP priorities with goal programming in resource allocation in transportation , 2007, Math. Comput. Model..

[95]  Mehrdad Tamiz,et al.  An interactive three-stage model for mutual funds portfolio selection ☆ , 2007 .

[96]  Anthony C. Atkinson,et al.  Multiresponse optimization with consideration of probabilistic covariates , 2011, Qual. Reliab. Eng. Int..

[97]  Yue Zhao,et al.  The optimal priority models of the intuitionistic fuzzy preference relation and their application in selecting industries with higher meteorological sensitivity , 2011, Expert Syst. Appl..

[98]  Edward L. Hannan,et al.  Nondominance In Goal Programming , 1980 .

[99]  Abraham Charnes,et al.  Optimal Estimation of Executive Compensation by Linear Programming , 1955 .

[100]  Mehrdad Tamiz,et al.  An integrated queuing and multi-objective bed allocation model with application to a hospital in China , 2009, J. Oper. Res. Soc..

[101]  Luuk Fleskens,et al.  Conserving natural resources in olive orchards on sloping land: Alternative goal programming approaches towards effective design of cross-compliance and agri-environmental measures , 2010 .

[102]  Hao Wen Lin,et al.  An interactive meta-goal programming-based decision analysis methodology to support collaborative manufacturing , 2009 .

[103]  Dylan Jones,et al.  A practical weight sensitivity algorithm for goal and multiple objective programming , 2011, Eur. J. Oper. Res..

[104]  Hadi Gökçen,et al.  Balancing parallel assembly lines with precise and fuzzy goals , 2010 .

[105]  Maghsoud Amiri,et al.  A METHODOLOGY FOR OPTIMIZING STATISTICAL MULTI-RESPONSE PROBLEMS USING FUZZY GOAL PROGRAMMING , 2008 .

[106]  Adil Baykasoğlu,et al.  Preemptive goal programming using simulated annealing , 2005 .

[107]  J. Dyer.  Interactive Goal Programming , 1972 .

[108]  F. Glover,et al.  Notes and Communications RESOLVING CERTAIN DIFFICULTIES AND IMPROVING THE CLASSIFICATION POWER OF LP DISCRIMINANT ANALYSIS FORMULATIONS , 1986 .

[109]  Antonio Sedeño-Noda,et al.  Preemptive benchmarking problem: An approach for official statistics in small areas , 2009, Eur. J. Oper. Res..

[110]  Samir Ben Ahmed,et al.  A multiobjective-optimization approach for a piloted quality-management system: A comparison of two approaches for a case study , 2011, Comput. Ind..

[111]  Tien-Fu Liang,et al.  Applying fuzzy goal programming to production/transportation planning decisions in a supply chain , 2007, Int. J. Syst. Sci..

[112]  Mehrdad Tamiz,et al.  Weighted Additive Models for Solving Fuzzy Goal Programming Problems , 2008, Asia Pac. J. Oper. Res..

[113]  Mehrdad Tamiz,et al.  Combining simulation and goal programming for healthcare planning in a medical assessment unit , 2009, Eur. J. Oper. Res..

[114]  Mariano Luque,et al.  MOPEN: A computational package for Linear Multiobjective and Goal Programming problems , 2005, Decis. Support Syst..

[115]  H. Pastijn.  Handbook of critical issues in goal programming: Carlos Romero Pergamon Press, Oxford, 1990, xi + 124 pages, £25.00, ISBN 008 0406610 , 1992 .

[116]  Rafael Caballero,et al.  Restoration of efficiency in a goal programming problem with linear fractional criteria , 2006, Eur. J. Oper. Res..

[117]  Mehrdad Tamiz,et al.  Expanding the flexibility of goal programming via preference modelling techniques , 1995 .

[118]  Seyed Farid Ghaderi,et al.  A weighted goal programming approach for replenishment planning and space allocation in a supermarket , 2011, J. Oper. Res. Soc..

[119]  George Mavrotas,et al.  Multi-objective combinatorial optimization for selecting best available techniques (BAT) in the industrial sector: the COMBAT tool , 2009, J. Oper. Res. Soc..

[120]  Roger M. Y. Ho,et al.  Goal programming and extensions , 1976 .

[121]  Mark H. Houck,et al.  Real‐Time Reservoir Operations by Goal Programming , 1984 .

[122]  Wen-Hsien Tsai,et al.  An integrated approach for selecting corporate social responsibility programs and costs evaluation in the international tourist hotel , 2010 .

[123]  Mehrdad Tamiz,et al.  Practical Goal Programming , 2010 .

[124]  Dylan F. Jones,et al.  A classification model based on goal programming with non-standard preference functions with application to the prediction of cinema-going behaviour , 2007, Eur. J. Oper. Res..

[125]  A. Wierzbicki.  A Mathematical Basis for Satisficing Decision Making , 1982 .

[126]  Fred W. Glover,et al.  Contributions of Professor William W. Cooper in Operations Research and Management Science , 2009, Eur. J. Oper. Res..

[127]  Jacinto González-Pachón,et al.  The design of socially optimal decisions in a consensus scenario , 2011 .

[128]  R. Tiwari,et al.  Fuzzy goal programming- an additive model , 1987 .

[129]  Remica Aggarwal,et al.  Optimal media planning for multi-products in segmented market , 2011, Appl. Math. Comput..

[130]  Kamran Shahanaghi,et al.  Integrating fuzzy TOPSIS and multi-period goal programming for purchasing multiple products from multiple suppliers , 2011 .

[131]  C. Romero.  Extended lexicographic goal programming: a unifying approach , 2001 .

[132]  He-Yau Kang,et al.  Fuzzy multiple goal programming applied to TFT-LCD supplier selection by downstream manufacturers , 2009, Expert Syst. Appl..

[133]  Yu-Chun Chang,et al.  A Multi-Objective Goal Programming Airport Selection Model for Low-Cost Carriers' Networks , 2010 .

[134]  H. Paul Williams,et al.  Logic and Integer Programming , 2009, Logic and Integer Programming.

[135]  Manouchehr Amini,et al.  Water Resources Sustainability and Optimal Cropping Pattern in Farming Systems; A Multi-Objective Fractional Goal Programming Approach , 2010 .

[136]  T. Saaty,et al.  Ranking by Eigenvector Versus Other Methods in the Analytic Hierarchy Process , 1998 .

[137]  Dimitris K. Despotis,et al.  Fractional Minmax Goal Programming: A Unified Approach to Priority Estimation and Preference Analysis in MCDM , 1996 .

[138]  Mohamad Y. Jaber,et al.  A Goal Programming Approach For A Multi Period Task Assignment Problem , 2004 .

[139]  Gülçin Büyüközkan,et al.  A Combined Fuzzy AHP and Fuzzy Goal Programming Approach for Effective Six-Sigma Project Selection , 2008, J. Multiple Valued Log. Soft Comput..

[140]  Toshiyuki Sueyoshi,et al.  LEAST ABSOLUTE VALUE ESTIMATION , 1997 .