## Multiobjective Programming and PlanningThis text takes a broad view of multiobjective programming, emphasizing the methods most useful for continuous problems. It reviews multiobjective programming methods in the context of public decision-making problems, developing each problem within a context that addresses practical aspects of planning issues. Topics include a review of linear programming, the formulation of the general multiobjective programming problem, classification of multiobjective programming methods, techniques for generating noninferior solutions, multiple-decision-making methods, multiobjective analysis of water resource problems, and multiobjective analysis of facility location problems. 1978 edition. |

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### Contents

Preface to the Dover Edition | ix |

Introduction | 1 |

The Multiobjective Planning Problem | 13 |

Review of Linear Programming | 27 |

Formulation of the General Multiobjective Programming Problem | 68 |

Classification of Multiobjective Programming Methods | 85 |

Techniques for Generating Noninferior Solutions | 98 |

Solution Techniques That Incorporate Preferences | 163 |

MultipleDecisionMaker Methods | 213 |

Multiobjective Analysis of Water Resource Problems | 243 |

Multiobjective Analysis of Facility Location Problems | 281 |

Summary and Prospects for Future Development | 315 |

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### Common terms and phrases

addition algorithm allow alternatives analysis application approach approximation assumed basic basis benefits best-compromise solution called capacity Chapter choice column computational considered constraints curve decision makers decision variables decision-making defined direction discussed distance distribution economic efficiency energy environmental equal example extreme points facility feasible region feasible solution fire formulation given gives goal impact important included increase indicates indifference individual inferior interest irrigation lead linear programming major mathematical maximize maximum measured method minimize multiobjective multiobjective programming noninferior set noninferior solutions objective function optimal optimal solution original planning plant player political possible preferences presented problem range region relative represent resource selected simplex simplex method single social solving space step strategy Table techniques theory tradeoff unit utility function variables weights welfare