This paper presents an experimental investigation of the Sounds of Silence (SoS) harmony search metaheuristic for the multi-mode resource-constrained project scheduling problem (MRCPSP) using a pre-optimized starting repertoire. The presented algorithm is based on the time oriented version of the SoS harmony search metaheuristic developed by Csébfalvi et al. [1] for the single-mode resource-con...

in this paper, a new method is proposed to find the fuzzy optimal solution of fully fuzzy linear bilevel programming (fflblp) problems by representing all the parameters as triangular fuzzy numbers. in the proposed method, the given fflblp problem is decomposed into three crisp linear programming (clp) problems with bounded variables constraints, the three clp problems are solved separately and...

We consider convex programming problems in a canonical homogeneous format, a very general form of Karmarkar’s canonical linear programming problem. More specifically, by homogeneous programming we shall refer to the problem of testing if a homogeneous convex function has a nontrivial zero over a subspace and its intersection with a pointed convex cone. To this canonical problem, endowed with a ...

The zero duality gap that underpins the duality theory is one of the central ingredients in optimisation. In convex programming, it means that the optimal values of a given convex program and its associated dual program are equal. It allows, in particular, the development of efficient numerical schemes. However, the zero duality gap property does not always hold even for finite dimensional prob...

strategic selection problem is a multi-criteria problem which includes conflicting tangible and intangible criteria. in order to select the most appropriate strategic alternative it is necessary to make tradeoffs between these criteria as well as taking into account the resource limitations which may exist. available methods neglect the distance concept which exists between the alternatives wei...

As we are faced with more uncertainty problems in the real world, it is necessary to ‎provide ‎models that can provide appropriate solutions for dealing these issues. In this ‎study, ‎ proposed a new approach solving linear programming problem fuzzy ‎environment ‎based on ‎a related multi-objective model. This kind of be ‎reduced ‎fuzzy semi-infinite problem. way, present ‎mixed ‎Multi-Objectiv...

sical test reliability coefficient. In this paper the same problem is formulated as a zero-one programming problem, the advantage being that it can be solved by computer algorithms that already exist. It is shown how the procedure can be generalized to split tests of any length. The paper concludes with an empirical example comparing Gulliksen’s original hand-method with the zero-one programmin...