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An economic model is design to determine the optimal lot-size, production rate and lead time while minimizing system total cost. A minimax approach is applied to tackle the model and designed an iterative algorithm to obtain the optimal strategy. Numerical example and sensitivity analyses are given to demonstrate the performance of the proposed methodology and to highlight the differences between crisp and the fuzzy cases. This paper provides optimal decision support tools for managers in the form of mathematical model that improve operational, tactical, and strategic decision making in the fuzzy system. This paper aims to raise the awareness of managers with regard to realistic inventory problems.<\/jats:p>","DOI":"10.1051\/ro\/2017062","type":"journal-article","created":{"date-parts":[[2017,9,11]],"date-time":"2017-09-11T06:40:35Z","timestamp":1505112035000},"page":"517-538","source":"Crossref","is-referenced-by-count":1,"title":["An optimal inventory model with interaction of lot size, production rate and lead-time in a fuzzy back-order system"],"prefix":"10.1051","volume":"53","author":[{"given":"S.","family":"Priyan","sequence":"first","affiliation":[]},{"given":"P.","family":"Mala","sequence":"additional","affiliation":[]},{"given":"S.","family":"Tiwari","sequence":"additional","affiliation":[]}],"member":"250","published-online":{"date-parts":[[2019,5,22]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/j.jmsy.2017.02.010","volume":"43","author":"Ali","year":"2017","journal-title":"J. Manuf. 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