{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,9]],"date-time":"2026-04-09T13:26:20Z","timestamp":1775741180424,"version":"3.50.1"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2026,3,2]],"date-time":"2026-03-02T00:00:00Z","timestamp":1772409600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2026,3,2]],"date-time":"2026-03-02T00:00:00Z","timestamp":1772409600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["72172027"],"award-info":[{"award-number":["72172027"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Ann Oper Res"],"published-print":{"date-parts":[[2026,4]]},"DOI":"10.1007\/s10479-025-06882-4","type":"journal-article","created":{"date-parts":[[2026,3,2]],"date-time":"2026-03-02T15:45:30Z","timestamp":1772466330000},"page":"2563-2592","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Product line design for a capital-constrained supply chain: financing via bank or trade credit"],"prefix":"10.1007","volume":"359","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5693-6404","authenticated-orcid":false,"given":"Xiangyuan","family":"Lu","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7358-6175","authenticated-orcid":false,"given":"Zhiqiao","family":"Wu","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9699-3032","authenticated-orcid":false,"given":"Liwei","family":"Xu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2026,3,2]]},"reference":[{"issue":"5","key":"6882_CR1","doi-asserted-by":"publisher","first-page":"1247","DOI":"10.1287\/opre.1080.0562","volume":"56","author":"G Aydin","year":"2008","unstructured":"Aydin, G., & Porteus, E. L. (2008). Joint inventory and pricing decisions for an assortment. Operations Research, 56(5), 1247\u20131255.","journal-title":"Operations Research"},{"issue":"9","key":"6882_CR2","doi-asserted-by":"publisher","first-page":"1274","DOI":"10.1287\/mnsc.1040.0278","volume":"50","author":"JA Buzacott","year":"2004","unstructured":"Buzacott, J. A., & Zhang, R. Q. (2004). Inventory management with asset-based financing. Management Science, 50(9), 1274\u20131292.","journal-title":"Management Science"},{"issue":"4","key":"6882_CR3","doi-asserted-by":"publisher","first-page":"583","DOI":"10.1111\/poms.12035","volume":"23","author":"G Cai","year":"2014","unstructured":"Cai, G., Chen, X., & Xiao, Z. (2014). The roles of bank and trade credits: Theoretical analysis and empirical evidence. Production and Operations Management, 23(4), 583\u2013598.","journal-title":"Production and Operations Management"},{"issue":"4","key":"6882_CR4","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1080\/07408170590517024","volume":"37","author":"D Chhajed","year":"2005","unstructured":"Chhajed, D., & Kim, K. (2005). Strict-product-ordering approach in the vertical product-line design problem. IISE Transactions, 37(4), 319\u2013331.","journal-title":"IISE Transactions"},{"issue":"5","key":"6882_CR5","doi-asserted-by":"publisher","first-page":"569","DOI":"10.1016\/j.orl.2008.06.004","volume":"36","author":"M Dada","year":"2008","unstructured":"Dada, M., & Hu, Q. (2008). Financing the newsvendor inventory. Operations Research Letters, 36(5), 569\u2013573.","journal-title":"Operations Research Letters"},{"issue":"4","key":"6882_CR6","doi-asserted-by":"publisher","first-page":"742","DOI":"10.1287\/msom.2018.0720","volume":"21","author":"L Dong","year":"2019","unstructured":"Dong, L., Guo, X., & Turcic, D. (2019). Selling a product line through a retailer when demand is stochastic: Analysis of price-only contracts. Manufacturing & Service Operations Management, 21(4), 742\u2013760.","journal-title":"Manufacturing & Service Operations Management"},{"issue":"10","key":"6882_CR7","doi-asserted-by":"publisher","first-page":"1528","DOI":"10.1287\/mnsc.1060.0580","volume":"52","author":"V Gaur","year":"2006","unstructured":"Gaur, V., & Honhon, D. (2006). Assortment planning and inventory decisions under a locational choice model. Management Science, 52(10), 1528\u20131543.","journal-title":"Management Science"},{"issue":"7","key":"6882_CR8","doi-asserted-by":"publisher","first-page":"1017","DOI":"10.1287\/mnsc.44.7.1017","volume":"55","author":"D Gupta","year":"1998","unstructured":"Gupta, D., & Srinivasan, M. M. (1998). Note: How does product proliferation affect responsiveness? Management Science, 55(7), 1017\u20131020.","journal-title":"Management Science"},{"issue":"5","key":"6882_CR9","doi-asserted-by":"publisher","first-page":"1364","DOI":"10.1287\/opre.1090.0805","volume":"58","author":"D Honhon","year":"2010","unstructured":"Honhon, D., Gaur, V., & Seshadri, S. (2010). Assortment planning and inventory decisions under stockout-based substitution. Operations Research, 58(5), 1364\u20131379.","journal-title":"Operations Research"},{"issue":"1","key":"6882_CR10","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1016\/j.omega.2010.02.001","volume":"39","author":"Z Hua","year":"2011","unstructured":"Hua, Z., Zhang, X., & Xu, X. (2011). Product design strategies in a manufacturer\u2013retailer distribution channel. Omega-International Journal of Management Science, 39(1), 23\u201332.","journal-title":"Omega-International Journal of Management Science"},{"issue":"6","key":"6882_CR11","doi-asserted-by":"publisher","first-page":"1090","DOI":"10.1111\/j.1937-5956.2012.01328.x","volume":"21","author":"B Jing","year":"2012","unstructured":"Jing, B., Chen, X., & Cai, G. (2012). Equilibrium financing in a distribution channel with capital constraint. Production and Operations Management, 21(6), 1090\u20131101.","journal-title":"Production and Operations Management"},{"issue":"3","key":"6882_CR12","doi-asserted-by":"publisher","first-page":"566","DOI":"10.1287\/opre.1120.1040","volume":"60","author":"P Kouvelis","year":"2012","unstructured":"Kouvelis, P., & Zhao, W. (2012). Financing the newsvendor: Supplier vs. bank, and the structure of optimal trade credit contracts. Operations Research, 60(3), 566\u2013580.","journal-title":"Operations Research"},{"issue":"1","key":"6882_CR13","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1287\/msom.2017.0669","volume":"20","author":"P Kouvelis","year":"2018","unstructured":"Kouvelis, P., & Zhao, W. (2018). Who should finance the supply chain? Impact of credit ratings on supply chain decisions. Manufacturing & Service Operations Management, 20(1), 19\u201335.","journal-title":"Manufacturing & Service Operations Management"},{"issue":"8","key":"6882_CR14","doi-asserted-by":"publisher","first-page":"768","DOI":"10.1080\/24725854.2017.1303764","volume":"49","author":"X Liu","year":"2017","unstructured":"Liu, X., Du, G., Jiao, R. J., et al. (2017). Product line design considering competition by bilevel optimization of a Stackelberg-Nash game. IISE Transactions, 49(8), 768\u2013780.","journal-title":"IISE Transactions"},{"issue":"3","key":"6882_CR15","doi-asserted-by":"publisher","first-page":"474","DOI":"10.1287\/mksc.1090.0533","volume":"29","author":"Y Liu","year":"2010","unstructured":"Liu, Y., & Cui, T. H. (2010). The length of product line in distribution channels. Marketing Science, 29(3), 474\u2013482.","journal-title":"Marketing Science"},{"issue":"1","key":"6882_CR16","doi-asserted-by":"publisher","first-page":"218","DOI":"10.1016\/j.ejor.2020.03.013","volume":"286","author":"X Lu","year":"2020","unstructured":"Lu, X., & Wu, Z. (2020). How taxes impact bank and trade financing for multinational firms. European Journal of Operational Research, 286(1), 218\u2013232.","journal-title":"European Journal of Operational Research"},{"issue":"2","key":"6882_CR17","doi-asserted-by":"publisher","first-page":"310","DOI":"10.1016\/0022-0531(78)90085-6","volume":"18","author":"M Mussa","year":"1978","unstructured":"Mussa, M., & Rosen, S. (1978). Monopoly and product quality. Journal of Economic Theory, 18(2), 310\u2013317.","journal-title":"Journal of Economic Theory"},{"issue":"1","key":"6882_CR18","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1287\/mksc.1060.0216","volume":"26","author":"S Netessine","year":"2007","unstructured":"Netessine, S., & Taylor, T. A. (2007). Product line design and production technology. Marketing Science, 26(1), 101\u2013117.","journal-title":"Marketing Science"},{"issue":"3","key":"6882_CR19","doi-asserted-by":"publisher","first-page":"661","DOI":"10.1093\/rfs\/10.3.661","volume":"10","author":"MA Petersen","year":"1997","unstructured":"Petersen, M. A., & Rajan, R. G. (1997). Trade credit: Theories and evidence. The Review of Financial Studies, 10(3), 661\u2013691.","journal-title":"The Review of Financial Studies"},{"issue":"1","key":"6882_CR20","doi-asserted-by":"publisher","first-page":"22","DOI":"10.1287\/mnsc.47.1.22.10667","volume":"47","author":"K Ramdas","year":"2001","unstructured":"Ramdas, K., & Sawhney, M. S. (2001). A cross-functional approach to evaluating multiple line extensions for assembled products. Management Science, 47(1), 22\u201336.","journal-title":"Management Science"},{"issue":"4","key":"6882_CR21","doi-asserted-by":"publisher","first-page":"546","DOI":"10.2307\/2555525","volume":"15","author":"N Singh","year":"1984","unstructured":"Singh, N., & Vives, X. (1984). Price and quantity competition in a differentiated duopoly. The RAND Journal of Economics, 15(4), 546\u2013554.","journal-title":"The RAND Journal of Economics"},{"issue":"2","key":"6882_CR22","doi-asserted-by":"publisher","first-page":"156","DOI":"10.1287\/mksc.17.2.156","volume":"17","author":"JM Villas-Boas","year":"1998","unstructured":"Villas-Boas, J. M. (1998). Product line design for a distribution channel. Marketing Science, 17(2), 156\u2013169.","journal-title":"Marketing Science"},{"issue":"1","key":"6882_CR23","doi-asserted-by":"publisher","first-page":"206","DOI":"10.1111\/poms.12882","volume":"28","author":"D Wu","year":"2018","unstructured":"Wu, D., Zhang, B., & Baron, O. (2018). A trade credit model with asymmetric competing retailers. Production and Operations Management, 28(1), 206\u2013231.","journal-title":"Production and Operations Management"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-025-06882-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10479-025-06882-4","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-025-06882-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,9]],"date-time":"2026-04-09T12:20:26Z","timestamp":1775737226000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10479-025-06882-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,3,2]]},"references-count":23,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2026,4]]}},"alternative-id":["6882"],"URL":"https:\/\/doi.org\/10.1007\/s10479-025-06882-4","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"value":"0254-5330","type":"print"},{"value":"1572-9338","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,3,2]]},"assertion":[{"value":"11 October 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 September 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 March 2026","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}