generally, an engineering design problem has multiple objective functions. some of these problems can be formulated as multiobjective geometric programming models. on the other hand,often in the real world, coefficients of the objective functions are not known precisely. coefficients may be interpreted as fuzzy numbers, which lead to a multiobjective geometric programming with fuzzy parameters....

stochastic approach to vehicle routing problem: development and theories abstract in this article, a chance constrained (ccp) formulation of the vehicle routing problem (vrp) is proposed. the reality is that once we convert some special form of probabilistic constraint into their equivalent deterministic form then a nonlinear constraint generates. knowing that reliable computer software for lar...

in this paper, we consider rna structures with arc-length 4 . first, we represent thesestructures as matrix models and zero-one linearprogramming problems. then, we obtain anoptimal solution for this problemusing an implicit enumeration method. the optimal solutioncorresponds toan rna structure with the maximum number of hydrogen bonds.