Design of optimal quantity discounts for multi-period bilevel production planning under uncertain demands

Production Planning under Uncertain Demands and Yields

The periodic demands of a single product are forecasted and given by a distribution function for each period. The product can be manufactured in n plants with heterogeneous characters. Each plant has its specific stochastic production capability. The expected capability and the standard deviation of each plant can be increased by allocation of additional budgets. The problem is to determine the...

Multi-period Mixed Production Planning with uncertain demands: Fuzzy and interval fuzzy sets approach

This paper shows a general model of a Mixed Production Planning problem with fuzzy demands. The main focus is the development of a model for Production Planning using fuzzy sets in order to use classical mathematical programming techniques to reach an optimal solution over a multiple criteria context. The classical Fuzzy Linear Programming model namely the Soft Constraints Model is used to invo...

Optimal Crashing of Multi Period-Multi Product Production Planning Problems

To save overhead and penalty costs, in many cases of Multi-Period Multi-Product (MPMP) planning systems, reducing the completion time is highly desirable. Therefore, in this paper we study this problem. We propose an approach in which a MPMP problem is converted into a project management network. Then, considering network concepts and properties, a multi stage novel mathematical model is propos...

Robust Optimization of Multi-Period Production Planning Under Demand Uncertainty

Optimal design of cross docking supply chain networks with time-varying uncertain demands

This paper proposes an integrated network design model for a post-distribution cross-docking strategy, comprising multi product production facilities with shared production resources, capacitated cross docks with setup cost and customer zones with time windows constraints. The model is dynamic in terms of time-varying uncertain demands, whereas uncertainty is expressed with scenario approach an...