A new basis for an international poverty measurement is proposed based on linear programming for specifying the least cost diet and explicit budgeting for non-food spending. This approach is superior to the World Bank’s '$-a-day' line because it is (1) clearly related to survival and well...

We consider nonlinear stochastic optimization problems with probabilistic constraints. The concept of a p-efficient point of a probability distribution is used to derive equivalent problem formulations, and necessary and sufficient optimality conditions. We analyze the dual functional and its...

The Equalization method for the Stochastic Generalized Transportation Problem is presented. The algorithm allows to find the optimal solution to the problem of minimizing the expected total cost in the Generalized Transportation Problem with random demand. It is shown that the method is...

The Equalization method for the Stochastic Generalized Transportation Problem is presented. The algorithm allows to find the optimal solution to the problem of minimizing the expected total cost in the Generalized Transportation Problem with random demand. It is shown that the method is...

The Equalization method for the Stochastic Generalized Transportation Problem is presented. The algorithm allows to find the optimal solution to the problem of minimizing the expected total cost in the Generalized Transportation Problem with random demand. It is shown that the method is...

The Equalization method for the Stochastic Generalized Transportation Problem is presented. The algorithm allows to find the optimal solution to the problem of minimizing the expected total cost in the Generalized Transportation Problem with random demand. It is shown that the method is...

We consider nonlinear stochastic optimization problems with probabilistic constraints. The concept of a p-efficient point of a probability distribution is used to derive equivalent problem formulations, and necessary and sufficient optimality conditions. We analyze the dual functional and its...