Title: EOQ model with backorders under linear combination of possibility and necessity measure

Authors: Hardik N. Soni; Manisha Joshi

Addresses: Chimanbhai Patel Post Graduate Institute of Computer Applications, Ahmedabad – 15, India ' S.K Patel Institute of Management and Computer Studies, Gandhinagar-382023, Gujarat, India

Abstract: This paper considers an EOQ model with backorders and imprecise holding cost, ordering cost and shortage cost under linear combination of possibility measure and necessity measure. The objective function of this model is to minimise fuzzy total annual cost, which includes fuzzy annual holding cost, fuzzy annual ordering cost and fuzzy annual shortage penalty cost. Making use of mλ-measure, a linear combination of possibility measure and necessity measure, two fuzzy chance-constrained programming models are constructed to determine optimistic and pessimistic values of the objective function. An objective function is optimised with some predefined degree of mλ-measure and accordingly the problem is transferred to an equivalent crisp problem. An analytical approach is developed to resolve the reduced models. To analyse the characteristics of the proposed model and to find the optimal decision under different situations, numerical illustrations are presented along with a sensitivity analysis.

Keywords: economic order quantity; EOQ; backorders; possibility measures; necessity measures; m-lambda measures; imprecise costs; holding cost; ordering cost; shortage cost; chance-constrained programming; fuzzy logic; fuzzy modelling.

DOI: 10.1504/IJMOR.2015.068292

International Journal of Mathematics in Operational Research, 2015 Vol.7 No.2, pp.194 - 214

Received: 09 Apr 2013
Accepted: 16 Sep 2013

Published online: 22 Apr 2015 *

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