Water is a basic part of our daily lives, as such effective water supply paramount importance. Thus, result the rise in population size and shortage there need for proper, suitable optimal utilization resources to efficiently be distributed among populace. The proper allocation distribution field network planning modelled through mathematical parameters objective system. This approach requires ...

The mean-variance (MV) portfolio is typically formulated as a quadratic programming (QP) problem that linearly combines the conflicting objectives of minimizing risk and maximizing expected return through aversion profile parameter. In this formulation, two are expressed in different units, an issue could definitely hamper obtaining more competitive set weights. For example, modification scale ...

Developing a minimum backbone grid in the power system planning is beneficial to improve system’s resilience. To obtain grid, mixed integer linear programming (MILP) model with network connectivity constraints for proposed. In model, some are presented consider practical application requirements. Especially, avoid islands set of based on single-commodity flow formulations proposed ensure grid. ...

In this paper we define timed regular expressions to describe the timed behaviour of parallel real-time systems and consider the problem of checking algorithmically the set of timed behaviours defined by timed regular expressions for a real-time requirement specified by a linear duration invariant. In general, the problem can be solved by using the mixed integer linear programming techniques. W...