Positive Mathematical Programming for Farm Planning: Review

Positive Mathematical Programming

Mathematical Programming Models and Formulations for Deterministic Production Planning Problems

We study in this lecture the literature on mixed integer programming models and formulations for a specific problem class, namely deterministic production planning problems. The objective is to present the classical optimization approaches used, and the known models, for dealing with such management problems. We describe first production planning models in the general context of manufacturing p...

Planning and Scheduling for Petroleum Refineries Using Mathematical Programming

The objective of this paper is the development and solution of nonlinear and mixed-integer (MIP) optimization models for real-world planning and scheduling problems in petroleum refineries. Firstly, we present a nonlinear planning model that represents a general refinery topology and allows implementation of nonlinear process models as well as blending relations. The optimization model is able ...

Mathematical Programming Models for Solving Two Conference Planning Problems

Planning academic conferences is often a difficult, tedious and time-consuming task. This is because there are many possible designs that can be considered and created. Additionally many of the associated tasks are currently performed manually in an inefficient manner when they could easily be automated. The planning process is particularly important because high quality sessions can lose thei...

Commentary on: A Mathematical Programming Algorithm for Planning and Scheduling

This paper describes a method for scheduling observations by earth-observing satellites. The underlying problem is translated into a directed acyclic graph for each satellite. Each arc in the graph has a profit related to the value associated with an image. Each arc of the graph also represents the constraints of the problem, including memory, time and orbits. The scheduling problem is solved b...