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However, integrating these choices in a competitive environment has received scant attention for deteriorating inventory systems from academics despite being crucial to practitioners. From this perspective, our research focuses on designing a supply chain model with inventory coordination to reflect time systems with improved accuracy and optimal control systems. In this research, we develop a two-layer supply chain model consisting of one manufacturer and one retailer incorporating the inventory classification of the retailer. Price-sensitive market demand and two-parameter time-varying Weibull distribution deterioration have been assumed to develop the mathematical model. First, a collective decision on price and inventory control of a deteriorating product has been evaluated in a duopoly environment. Secondly, to explore the decentralized scenario, we have proposed the NSGA-II algorithm to solve the bi-objective programming problem of the two-layer supply chain. The paper aims to explore product collaborative pricing policies and the inventory decision of the deteriorating item in two-layer supply chain coordination. Finally, numerical research is conducted to execute the centralized supply chain and NSGA-II application in a decentralized supply chain. The research findings can provide valuable insights for members of the two-layer supply chain to make optimal product pricing and inventory scheduling decisions.<\/jats:p>","DOI":"10.1051\/ro\/2023105","type":"journal-article","created":{"date-parts":[[2023,7,18]],"date-time":"2023-07-18T19:02:22Z","timestamp":1689706942000},"page":"2279-2300","source":"Crossref","is-referenced-by-count":21,"title":["Pricing and inventory decision in a two-layer supply chain under the Weibull distribution product deterioration: an application of NSGA-II"],"prefix":"10.1051","volume":"57","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6481-4789","authenticated-orcid":false,"given":"Abhijit","family":"Barman","sequence":"first","affiliation":[]},{"given":"Ashis","family":"Kumar Chakraborty","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4420-0077","authenticated-orcid":false,"given":"Adrijit","family":"Goswami","sequence":"additional","affiliation":[]},{"given":"Parthasarathi","family":"Banerjee","sequence":"additional","affiliation":[]},{"given":"Pijus Kanti","family":"De","sequence":"additional","affiliation":[]}],"member":"250","published-online":{"date-parts":[[2023,9,18]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1007\/s40092-017-0217-7","volume":"14","author":"Babaveisi","year":"2018","journal-title":"J. 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