Programming

Advances in Multiple Objective and Goal Programming: by Rafael Caballero, Francisco Ruiz, Ralph E. Steuer (auth.),

By Rafael Caballero, Francisco Ruiz, Ralph E. Steuer (auth.), Prof. Rafael Caballero, Prof. Francisco Ruiz, Prof. Ralph Steuer (eds.)

In the box of a number of standards choice making, this quantity covers the newest advances in a number of goal and target programming as provided on the 2d foreign convention on Multi-Objective Programming and target Programming, Torremolinos, Spain, could sixteen - 18, 1996. The e-book is an undispensable resource of the newest examine effects, awarded through the prime specialists of the sector.

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Additional info for Advances in Multiple Objective and Goal Programming: Proceedings of the Second International Conference on Multi-Objective Programming and Goal Programming, Torremolinos, Spain, May 16–18, 1996

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3 Goals and their priorities.. The objectives to be considered by the GP model in order to design the optimum performance of the hospital service were arrived at through discussions with hospital decision makers. These are: • • • • Keeping staffing requirements and spatial availability. Minimizing operating costs. Decreasing waiting lists. Providing quality service. Priority One - Assure the necessary personnel to give satisfactory services to the patient: The prior objective is to ensure the personnel needed to offered the patient a satisfactory service; the decision centre estimates that the actual staff will be enough to keep the demand in.

Let Ak = {x E 43 XI g(u*) > (/3* + ,B)j2}. The set Ak denotes a subregion of the category A in X which is decided at this stage. Rewrite X\Ak by X and A \Ak by A. If nA < nB, then we take a separating hyperplane as g(u*) = (Q* + ci)j2 where Q* is the solution to (III') and ci=Max{xTu*1 x E Bk}. Let jjk = {x E XI g(u*) < (Q*+ci)j2}. The set jjk denotes a subregion of the category B in X which is decided at this stage. Rewrite X\jjk by X and B\Bk by B. Setting k = k+ 1, solve the problem (II') and (III') until we have A \Ak = 0 and B\jjk = 0.

In this paper, several trials in order to overcome this difficulty of the multi-surface method will be suggested: One of them is the utilization of the goal programming in which the auxiliary linear programming problem is formulated as a goal programming in order to get as simple discrimination curve as possible. Another one is to apply the fuzzy programming by which we can get fuzzy discrimination curves with gray zones. In addition, using the suggested methods, the additional learning can be easily made.

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