A Two-Echelon Inventory Model for Ameliorating/Deteriorating Items with Single Vendor and Multi-buyers
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RESEARCH ARTICLE
A Two-Echelon Inventory Model for Ameliorating/Deteriorating Items with Single Vendor and Multi-buyers Vandana1,2 • Shib Sankar Sana3,4
Received: 14 November 2016 / Revised: 29 October 2018 / Accepted: 28 November 2018 Ó The National Academy of Sciences, India 2019
Abstract This research work introduces an inventory model for ameliorating items as livestock (say fishes, chickens, ducklings), where the demand rate and deterioration rate are assumed as constant. Delivery times for buyers are introduced in the proposed model. The accumulated inventory contains amelioration rate of livestock with deterioration rate due to death of ameliorating items. The proposed model reduces the integrated total cost of inventory. In addition, the demand and deterioration rates are constant, and the amelioration rate is assumed to adhere to the Weibull distribution. The inventory model is discussed for single manufacturer, who produces the ameliorating items and sells the finished goods to the multiple buyers. The connections between framework parameters and solution procedure illustrate the optimal solutions. Numerical examples are provided to illustrate the theoretical results. Finally, the sensitivity analysis of the framework parameters is discussed.
& Shib Sankar Sana [email protected] Vandana [email protected] 1
School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur, C.G. 492010, India
2
Present Address: Department of Management Studies, Indian Institute of Technology, Chennai, Tamil Nadu 600036, India
3
Department of Mathematics, Bhangar Mahavidyalaya, South 24 Parganas, India
4
Present Address: Kishore Bharati Bhagini Nivedita College, Ramkrishna Palli, Behala, Kolkata 700060, India
Keywords Integrated inventory model Multiple delivery times Ameliorating/deteriorating items Weibull distribution Single vendor Multi-buyers Mathematics Subject Classification 90B05
1 Introduction The main role of any supply chain [1] is to fulfill client needs and, all the while, create benefit for itself. In the conventional inventory network, the authors accepted that the one and only one player is included at each stage, yet, in reality, a manufacturer may get material from lots of vendors and afterward supply to lots of merchants or sellers. Many research articles are available by providing the corresponding inventory system as supply chain independently and thus deriving an inventory policy beneficial either to the vendor or to the buyer; for details refer [2–9] and references therein. Very often, the views of different players of inventory policy differ with each other. However, there are certain researchers who developed an integrated policy, resulting in a decision suited to all the players. In the competitive market, everyone needs benefits. In a supply chain management, the merchant and the purchaser ought to cooperate in a helpful way toward amplifying their common advantages. Integrated inventory management has recently gotten a lot of consideration. The first model fo
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