Title: An inventory model for deteriorating items with ramp type demand under fuzzy environment

Authors: Chandra K. Jaggi; Sarla Pareek; Satish K. Goel; Nidhi

Addresses: Department of Operational Research, Faculty of Mathematical Sciences, University of Delhi, Delhi 110007, India ' Centre for Mathematical Sciences, Banasthali University, Banasthali – 304022, Rajasthan, India ' Department of Operational Research, Faculty of Mathematical Sciences, University of Delhi, Delhi 110007, India ' Centre for Mathematical Sciences, Banasthali University, Banasthali – 304022, Rajasthan, India

Abstract: This paper develops a fuzzy inventory model for deteriorating items with ramp type demand function which determines the optimal replenishment policies by minimising the total cost of the inventory system. Shortages are allowed and are partially backlogged. Fuzziness is introduced in the traditional cost components to a certain extent using the triangular fuzzy numbers and the signed distance method is used to defuzzify the total cost function. This paper, first, develops the crisp model by considering the two possible scenarios arise due to ramp type demand function, and then their corresponding fuzzy models are developed. To test the validity of the model, numerical study is also conducted followed by the sensitivity analysis on the key parameters.

Keywords: inventory modelling; deteriorating items; ramp type demand; item deterioration; shortages; triangular fuzzy numbers; signed distance method; fuzzy modelling; inventory management.

DOI: 10.1504/IJLSM.2015.072748

International Journal of Logistics Systems and Management, 2015 Vol.22 No.4, pp.436 - 463

Received: 07 Jun 2014
Accepted: 01 Sep 2014
Published online: 28 Oct 2015 *

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