We present a stochastic model for capacity-expansion planning of electricity distribution networks subject to uncertain demand (CEP). We formulate CEP as a multistage stochastic mixed-integer program with a scenario-tree representation of uncertainty. At each node of the scenario-tree, the model determines capacity-expansions, operating con guration, and power ows. A “super-arc” representation ...

Multicommodity distribution problem is one of the most interesting and useful models in mathematical programming due to its major role in distribution networks. The purpose of this paper is to describe and solve a special class of multicommodity distribution problems in which shipment of a commodity from a plant to a customer would go through different distribution centers. The problem is t...

This paper investigates the problem of just-in-time permutation flow shop scheduling with limited buffers and linear job deterioration in an uncertain environment. The fuzzy set theory is applied to describe this situation. A novel mixed-integer nonlinear program is presented to minimize the weighted sum of fuzzy earliness and tardiness penalties. Due to the computational complexities, the prop...

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 ...

We present a Mixed Integer Linear Programming (MILP) approach in order to model the non-linear problem of minimizing tire noise function. In recent work, we proposed an exact solution for Tire Noise Optimization Problem, dealing with APproximation (TNOP-AP). Here study original modeling EXact- or real-noise (TNOP-EX) and propose new scheme obtain TNOP-EX. Relying on TNOP-AP, use Branch&Cut ...

In many transportation systems, a mismatch between the associated design and planning decisions demand is typically encountered. A tailored system not only appealing to operators, which could have better knowledge of their operational costs, but also users, since they would benefit from an increase in level service satisfaction. Hence, it important explicitly allow for interactions two model go...