Periodic review fuzzy inventory model with variable lead time and fuzzy demand

Biswajit Sarkar, Amalendu Singha Mahapatra

Research output: Contribution to journalArticlepeer-review

82 Citations (Scopus)


This paper investigates a periodic review fuzzy inventory model with lead time, reorder point, and cycle length as decision variables. The main goal of this study is to minimize the expected total annual cost by simultaneously optimizing cycle length, reorder point, and lead time for the whole system based on fuzzy demand. Two models are considered in this paper: one with normal demand distribution and another with a distribution-free approach. The model assumes a logarithmic investment function for lost-sale rate reduction. Furthermore, two separate efficient computational algorithms are explained to obtain the optimal solution. Some numerical examples are given to illustrate the model.

Original languageEnglish
Pages (from-to)1197-1227
Number of pages31
JournalInternational Transactions in Operational Research
Issue number5
Publication statusPublished - 2017 Sept

Bibliographical note

Publisher Copyright:
© 2015 The Authors. International Transactions in Operational Research © 2015 International Federation of Operational Research Societies Published by John Wiley & Sons Ltd, 9600 Garsington Road, Oxford OX4 2DQ, UK and 350 Main St, Malden, MA02148, USA.

All Science Journal Classification (ASJC) codes

  • Business and International Management
  • Computer Science Applications
  • Strategy and Management
  • Management Science and Operations Research
  • Management of Technology and Innovation


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