We propose a new class of knapsack problems by assiuning that the sizes of the items to be put into a knapsack are known to be elements 0f a given subset S of the positive integers Z'^. The set S is treated as a parameter. We show that the family of knapsack problems obtained by varying the...

We study several important aspects of using environmental taxes or pollution fines to motivate the choice of innovative and “green” emissions-reducing technologies. In our model, the environmental regulator (Stackelberg leader) sets the tax level, and in response to it a profit-maximizing...

A cooperative covering location problem anywhere on the networks is analysed. Each facility emits a signal that decays by the distance along the arcs of the network and each node observes the total signal emitted by all facilities. A node is covered if its cumulative signal exceeds a given...

A family of discrete cooperative covering problems is analysed in this paper. Each facility emits a signal that decays by the distance and each demand point observes the total signal emitted by all facilities. A demand point is covered if its cumulative signal exceeds a given threshold. We wish...

Business schools look for the ways to teach MBA graduates effective group work skills, generally through group-based assignments and projects. However, if not monitored carefully, group work can undermine the learning process; group composition is important. Rotman School has developed a...

We consider a set of objects possessing multiple attributes that must be partitioned into a certain number of groups so that the groups are as balanced as possible with respect to the number of objects possessing each attribute. This problem arises in a variety of applications, ranging from...