The (minimizing) achievement function of the traditional goalprogramming (GP) model has five basic forms: ni,pi,(ni+pi),(n-pi),and (pi-ni),where ni and pi are nonnegative under and over achievement variables in t...
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(纸本)9781424436712
The (minimizing) achievement function of the traditional goalprogramming (GP) model has five basic forms: ni,pi,(ni+pi),(n-pi),and (pi-ni),where ni and pi are nonnegative under and over achievement variables in the ith goal-constraint. Zhang and Shang (2001) proposed the theory of goal Programs with -ni,-pi and -(ni+pi) goals, which has many interesting and practical applications. This paper extends the theory further into the nonlinear situation and proposes a new algorithm for solving the ensuing nonconvex nonlinear program. Results obtained in this paper shows that the basic conclusions for the linear GP model still hold for the nonlinear case.
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