A note on multi-item inventory systems with limited capacity |
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| Affiliation: | 1. Medical Biochemistry and Molecular Biology, Saarland University, 66421 Homburg, Germany;2. Department of Molecular Structural Biology, Max Planck Institute of Biochemistry, 82152 Martinsried, Germany;3. Computational Biology, Saarland University, 66041 Saarbrücken, Germany;4. Experimental and Clinical Pharmacology and Toxicology, Saarland University, 66421 Homburg, Germany;1. Antimicrobial Reference and Research Unit, Microbiological Diagnostic Unit–Public Health Laboratory, Department of Microbiology & Immunology, University of Melbourne at the Peter Doherty Institute for Infection & Immunity, 792 Elizabeth Street, Melbourne, VIC 3000, Australia;2. Department of Microbiology & Immunology, University of Melbourne at the Peter Doherty Institute for Infection & Immunity, 792 Elizabeth Street, Melbourne, VIC 3000, Australia;3. Department of Infectious Diseases, Austin Health, 145 Studley Road, Heidelberg, VIC 3000, Australia |
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| Abstract: | Functional relationships between the Lagrange multiplier and system parameters for multi-item inventory systems with one restriction are identified and used to establish tight bounds on the optimal multiplier value. A recursive process which rapidly converges to the optimal multiplier is also discussed. Finally, a comparative analysis of the new bounds in relation to existing bounds is presented. |
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