## 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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algorithm alternative optima application approach approximation basic feasible solution basis best-compromise solution capacity cardinal utility Chapter computational considered constrained problem constraint method coverage decision makers decision space decision variables defined discussed economic efficiency benefits energy environmental quality facility location feasible region formulation goal programming impact important indifference curve individual inferior irrigation iterative line segment linear programming mathematical programming maximize maximum minimize multiobjective analysis multiobjective problem multiobjective programming multiple-decision-maker NISE method noninferior extreme points noninferior set noninferior solutions nonnegative objective function objective space optimal solution Pareto optimal payoff player preferences presented public decision-making reduced costs RELM reservoir sample problem Section shown in Fig simplex method simplex tableau single-objective slack variables social welfare function solving step strategy surrogate worth Table techniques theory tion tradeoff utility function value judgments vector water resource weighted problem weighting method welfare economics welfare economists Zeleny zero Zt(x

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