The multi-commodity minimum disconnecting set in a given network is of considerable interest in military operations. The present known methods of finding the multi-commodity minimum disconnecting set consist of implicit enumeration techniques or techniques which involve the solution of several...

We develop a production planning model in the context of a system of assembly lines or production lines. The model is a large-scale linear program and we provide a polynomial column generation technique for its efficient solution. The column generation technique and the approach therein are also...

In a transportation problem, generally, a single criterion of minimizing the total cost is considered. But in certain practical situations two or more objectives are relevant. For example, the objectives may be minimizations of total cost, consumption of certain scarce resources such as energy,...

This paper considers the problem of maximizing the expected value of multicommodity flows in a network in which the arcs experience probabilistic loss rates. Consideration of probabilistic losses are relevant, particularly, in communication and transportation networks. An arc-chain formulation...