Guides in the application of linearprogramming to firm decisionmaking, with the goal of giving decision-makers a better understanding of methods at their disposal Useful as a main resource or as a supplement in an e...
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ISBN:
(数字)9781119509455
ISBN:
(纸本)9781119509448
Guides in the application of linearprogramming to firm decisionmaking, with the goal of giving decision-makers a better understanding of methods at their disposal Useful as a main resource or as a supplement in an economics or management science course, this comprehensive book addresses the deficiencies of other texts when it comes to covering linearprogramming theory--especially where data envelopment analysis (DEA) is concerned--and provides the foundation for the development of DEA. linearprogramming and Resource Allocation Modeling begins by introducing primal and dual problems via an optimum product mix problem, and reviews the rudiments of vector and matrix operations. It then goes on to cover: the canonical and standard forms of a linearprogramming problem; the computational aspects of linearprogramming; variations of the standard simplex theme; duality theory; single- and multiple- process production functions; sensitivity analysis of the optimal solution; structural changes; and parametric programming. The primal and dual problems are then reformulated and re-examined in the context of Lagrangian saddle points, and a host of duality and complementary slackness theorems are offered. The book also covers primal and dual quadratic programs, the complementary pivot method, primal and dual linear fractional functional programs, and (matrix) game theory solutions via linearprogramming, and data envelopment analysis (DEA). This book: Appeals to those wishing to solve linear optimization problems in areas such as economics, business administration and management, agriculture and energy, strategic planning, public decisionmaking, and health care Fills the need for a linearprogramming applications component in a management science or economics course Provides a complete treatment of linearprogramming as applied to activity selection and usage Contains many detailed example problems as well as textual and graphical explanations linearprogramming and Resourc
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