Consider the following (standard) linear programming problem: maximise a real-valued linear function CT x defined for optimisation variables x in Rn that have to satisfy the constraints Ax ≤ B, x ≥ 0, where the matrices A, B, and C are independent random variables that take values a, b, and c in Rm×n, Rm and Rn, respectively. Using an approach we developed in previous work [3], the problem is f...

We extend Dubois and Prade's possibilistic decision theory to multi-stage decision making. EEects of actions are described by possibility distributions; objectives are speciied either by a partition of the nal states between goal and non-goal states, or more generally by a qualitative utility function. Optimal policies are computed by an algorithm in the style of dynamic programming.

Semantics has become a key topic of research in Genetic Programming (GP). refers to the outputs (behaviour) GP individual when this is run on dataset. The majority works that focus semantic diversity single-objective indicates it highly beneficial evolutionary search. Surprisingly, there minuscule conducted semantics Multi-objective (MOGP). In work we make leap beyond our understanding MOGP and...

International laws and increasing consumer awareness have led to drastic changes in traditional supply chain network designs. Moreover, because of environmental social requirements, networks changed sustainable networks. On the other hand, reverse logistics can be effective terms economic aspects, so design as a closed loop is necessary. In addition, customers demand for different products with...

Increasing energy demand and the detrimental environmental impacts of fossil fuels have led to development renewable sources. Rapid growth for wood pellets over last decade has established as a potential source in globally competitive market. Integrated decision making including all stakeholders pellet supply chain (WPSC) is essential smooth transition commercially viable production. In this as...

We consider an open shop scheduling problem. At first, a bi-objective possibilistic mixed-integer programming formulation is developed. The inherent uncertainty in processing times and due dates as fuzzy parameters, machine-dependent setup times and removal times are the special features of this model. The considered bi-objectives are to minimize the weighted mean tardiness and weighted mean co...