Fuzzy inventory model with allowable shortages and backorder

S. Jerline Zita

doi:10.26637/MJM0804/0017

Abstract

In this paper, we are going to exhibit an inventory model in which shortages are permitted and that can be completely replaced. The model is derived to compute the economic order quantity and to minimize the total cost. To get the optimal solution closer to the reality, the fuzzy techniques are applied. We use the octagonal fuzzy numbers to fuzzify the inventory quantities like ordering cost, holding cost and backorder cost. The ranking function of octagonal fuzzy numbers is used here for defuzzification. The optimal solutions are verified with the help of numerical illustrations.

Keywords:

Allowable Shortages, Backorders, Ranking Function, Octagonal Fuzzy Number

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

S. Jerline Zita Department of Mathematics, Holy Cross College (Autonomous), Affiliated to Bharathidasan University, Trichy-620002, Tamil Nadu, India.

Pages: 1439-1442
Date Published: 01-10-2020
Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

S. K. Goyal, L. E. Cardenas-Barron, Note on: Economic production quantity model for items with imperfect quality- a practical approach, International Journal of Production Economics, 77(2002), 85-87.

J. T. Hsu, L. F. Hsu, A note on: Optimal inventory model for items with imperfect quality and shortage backordering, International Journal of Industrial Engineering Computations 3(5), (2012), 939-948.

J. Jagadeeswari, P. K. Chenniappan, An order level inventory model for deteriorating items with time-quadratic demand and partial backlogging, Journal of Business and Management Sciences, 2(3), (2014), 79-82.

A. Khana, P. Gautam, C. K. Jaggi, Inventory Modelling for deteriorating imperfect quality items with selling price dependent demand and shortage backordering under credit financing, International Journal of Mathematical, Engineering and Management Sciences 2(2), (2017), 110124.

$[5]$ R. S. Kumar, A. Goswami, Fuzzy stochastic EOQ inventory model for items with imperfect quality and shortages are backlogged, AMO - Advanced Modeling and Optimization, 15(2), (2013), 261-279.

G. Menaka, Ranking of Octagonal Intuitionistic Fuzzy Numbers, IOSR Journal of Mathematics, 13(3), (2017), 63-71.

R. Patro, M. Acharya, M. M. Nayak, S. Patnaik, A fuzzy inventory model with time dependent Weibull deterioration, quadratic demand and partial backlogging, International Journal Management and Decision Making, 16(3), (2017), 243-279.

J. Rezaei, Economic order quantity model with backorder for imperfect quality items, Proceeding of IEEE International Engineering Management Conference, (2005), $466-470$

R. Saranya, R. Varadarajan, A fuzzy inventory model with acceptable shortage using graded mean integration value method, Journal of Physics, 1000(2018), 012009.

M. K. Salameh, M. Y. Jaber, Economic production quantity model for items with imperfect quality, International Journal of Production Economics, 64(2000), 59-64.

J. Sujatha, P. Parvathi, Fuzzy EOQ model for deteriorating items with weibull demand and partial backlogging under trade credit, International Journal of Informative and Futuristic Research, 3(2)(2015), 526-537.

M. I. M. Wahab, M. Y. Jaber, Economic order quantity model for items with imperfect quality, different holding costs, and learning effects: A note, Computers and Industrial Engineering, 58(1)(2010), 186-190.