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Manufacturing firm produces simultaneously both perfect and imperfect items which are separated by screening process. Then the perfect items are transferred to the retailers\u2019 showroom\/warehouse located in different places and a part of imperfect items are repaired by rework process. Retailers receive the products from the manufacturer with paying partial pre-payment to ensure the replenishment of order. On the other hand, the manufacturer provides partial free transportation facility to the retailers due to pre-payment. The corresponding problem has been formulated mathematically as a profit maximization problem and then solved it analytically. As an illustration of this supply chain model, three numerical examples have been considered and solved. Finally, post optimality analyses have been carried out to investigate the effects of changes of different parameters on the optimal policy.<\/jats:p>","DOI":"10.1051\/ro\/2021053","type":"journal-article","created":{"date-parts":[[2021,4,7]],"date-time":"2021-04-07T07:55:29Z","timestamp":1617782129000},"page":"1063-1076","source":"Crossref","is-referenced-by-count":12,"title":["Single-manufacturer and multi-retailer supply chain model with pre-payment based partial free transportation"],"prefix":"10.1051","volume":"55","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0747-5995","authenticated-orcid":false,"given":"Amalesh Kumar","family":"Manna","sequence":"first","affiliation":[]},{"given":"Rajan","family":"Mondal","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6479-7002","authenticated-orcid":false,"given":"Ali","family":"Akbar Shaikh","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1790-5450","authenticated-orcid":false,"given":"Irfan","family":"Ali","sequence":"additional","affiliation":[]},{"given":"Asoke Kumar","family":"Bhunia","sequence":"additional","affiliation":[]}],"member":"250","published-online":{"date-parts":[[2021,5,6]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"1737","DOI":"10.1007\/s13369-018-3593-4","volume":"44","author":"Alfares","year":"2019","journal-title":"Arab. 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