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A note on “Coordinating a supply chain for deteriorating items with a revenue sharing and cooperative investment contract”
Institution:1. Women’s & Children’s Health Research Institute, University of Adelaide, North Adelaide, SA 5006, Australia;2. School of Paediatrics and Child Health, University of Western Australia, Subiaco, WA 6008, Australia;3. School of Population Health, University of Adelaide, Adelaide, SA 5005, Australia;4. Department of Human Nutrition, University of Otago, Dunedin 9054, New Zealand;5. Healthy Mothers, Babies and Children, South Australian Health and Medical Research Institute, Adelaide, SA 5000, Australia;6. School of Paediatrics and Reproductive Health, University of Adelaide, Adelaide, SA 5005, Australia;1. Department of Physics, Technion, Haifa 32000, Israel;2. Grup de Física Estadística, Departament de Física, Universitat Autònoma de Barcelona, Edifici Cc.,\n08193 Cerdanyola (Bellaterra), Spain;1. Departamento de Producción Animal Aves, Facultad de Medicina Veterinaria y Zootecnia, Universidad Nacional Autónoma de México, Ciudad Universitaria, Avenida Universidad 3000, Cd. Mx. C.P. 04510, Mexico;2. Departamento de Patología, Facultad de Medicina Veterinaria y Zootecnia, Universidad Nacional Autónoma de México, Ciudad Universitaria, Avenida Universidad 3000, Cd. Mx. C.P. 04510, Mexico
Abstract:In this short note, we first improve the proof in Zhang et al. 1] to show the strict concavity of the unit time total profit of the whole supply chain with respect to preservation technology investment without approximation. We then generalize the model of Zhang et al. 1] to a broader class of market demand functions. Additionally, theoretical results are provided to illustrate the features of the proposed model.
Keywords:Deteriorating items  Pricing  Preservation technology investment  Revenue sharing  Supply chain coordination
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