Radiotherapy Treatment Design Using Mathematical Programming Models

Article Abstract:

Radiotherapy is a major treatment tool in cancer. Current radiotherapy techniques use a two-dimensional approach that involves considerable trial and error. The present paper presents a treatment design approach that relies on mathematical optimization to reduce the trial and error involved and ultimately facilitates a three-dimensional treatment design. Models are presented that illustrate the application of mathematical programming to radiology treatment design. The new and standard approaches are compared in a lung cancer case study. Graphs and diagrams illustrate the technique.

Medicine, Cancer, Design, Optimization theory, Radiology, Comparison, Decision Making

---

Mathematical Pitfalls in the One Machine Multiproduct Economic Lot Scheduling Problem

Article Abstract:

A group of products sharing the same piece of production equipment is considered. It is shown that two mathematical problem formulations in the literature are ill-posed. In both cases, the infimum of the cost function occurs at a boundary point that is not feasible.

Manufacturing, Production control, Cost, Production, Mathematics of Computing, Scheduling Applications

---

The Solution of the Chemical Equilibrium Programming Problem with Generalized Benders Decomposition

Article Abstract:

An algorithm for solving the chemical equilibrium problem is derived. It parallels Geoffrion's development of the Generalized Benders Decomposition Algorithm. Computational results are discussed.

Chemistry, Modeling, Data modeling software, Mathematical programming, Theory, Approximation, Equilibrium

Similar abstracts:

• Abstracts: Race against time. Contesting the Euro vision. The Big Apple turns rotten
• Abstracts: Risk relay. Doing the right thing
• Abstracts: Monotone Optimal Issuing Policies in a Deterministic Inventory Model. Cost Formulas For Continuous Review Inventory Models with Fixed Delivery Lags
• Abstracts: Integer Prim-Read Solutions to a Class of Target Defense Problems. The Process of Search Planning: Current Approaches and Continuing Problems
• Abstracts: A Class of Linear Programs Convertible to Network Problems. Proper Efficiency and the Linear Fractional Vector Maximum Problem

This website is not affiliated with document authors or copyright owners. This page is provided for informational purposes only. Unintentional errors are possible.