EURO 2024 Copenhagen
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1251. Integrated Production and Delivery of Rapidly Decaying Products

Invited abstract in session TD-49: Production planning problems, stream Lot Sizing, Lot Scheduling and Production Planning.

Tuesday, 14:30-16:00
Room: M1 (building: 101)

Authors (first author is the speaker)

1. Ron Weitzman
Industrial Engineering & Management, Azrieli Academic College of Engineering
2. Inessa Ainbinder
Industrial Engineering & Management, Azrieli Academic College of Engineering
3. Gavriel David Pinto
Industrial Engineering and Management, Azrieli College of Engineering Jerusalem
4. Daniel Lifshitz
Ben Gurion University of the Negev
5. Gad Rabinowitz
Industrial Engineering & Management, Ben-Gurion University

Abstract

The goal of this research is to develop models for planning and scheduling production systems of rapidly decaying products. The F-18 radiopharmaceutical cyclotron (RC) production and its delivery is a specific and important example of such a system. F-18 isotopes are used for medical diagnosis and treatment. The RC production and delivery process consists of five stages: cyclotron, synthesis, vial filling, delivery to the hospital(s), and injection. The produced isotope decays exponentially throughout all these stages. The demand is ordered daily by each hospital, specifying each treatment’s dose and time of injection. The research focuses on the basic case of a single cyclotron, single material, and single hospital, which represents many existing radiopharmaceutical production and delivery systems. We develop and analyze a relaxed model for this case, together with a solution scheme for a detailed discrete injection plan. The proposed model is a novel relaxed optimization model with a convex cost function and a set of operations management constraints. The solution determines the number and sizes of the daily cyclotron batches to meet the hospitals’ demand while minimizing the costs of production and inventory holding, considering the radioactivity decay. The proposed solution process derives both symmetric solutions (of identical batches) and nonsymmetric solutions. A set of best feasible solutions are presented for the choice of the decision maker.

Keywords

Status: accepted


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