In <span>optimization, scheduling problems is concerning allocations of some resources which are usually limited. These done in order to fulfil criterion by performing tasks or jobs optimize one more objective functions. Simultaneous multi-criteria problem known as np-hard optimization problem. Here, we consider three criteria for a number on single machine. The minimize the sum total com...

The Efficient Coding Hypothesis, suggests that sensory relays recode sensory messages, so that their redundancy is reduced, but little information is lost. Coding to reduce redundancy eliminates wasteful neural activity, and also organizes sensory information such than an internal model of the environment causing the past sensory inputs to built up, while the current sensory situation is repres...

We consider combinatorial optimization problems with random jointly normal costs. Target-probability efficient solutions are those that grant a given target at a certain probability and no other solution can grant the same target at a higher probability. Since the costs belong to a location-scale family the efficient solutions have a simple geometric characterization in terms of mean and varian...