Abstract

In this paper a fuzzy inventory model for a single deteriorating itemwith two parameter weibulldistribution deterioration rate, ramp type demand and partial backordering at constant rate is developed. In the present market scenario due to inflation an increasing cost ofvarious factors affecting the total worth of inventory cost may increase ordering cycle length. Increase in the cost of components of inventory may not be pre-determined due to uncertainty of the market situation. Therefore, an interval based fuzzy concept has been considered to handle the situation of uncertainty. Orderingcost, holding costs in both ware-houses are assumed to be triangular fuzzy numbers. The objective of this paper is to derive an optimal replenishment policy with defuzzification of fuzzy numbers using signed distance method to minimize the average inventory cost. Further numerical examples are presented to illustrate the model. Initiallya crispmodel has been developed and then corressponding fuzzy model is derived separately and the results of twomodels are compared and analysed.

Author

Babita Tyagi; Ajay Singh Yadav; Sanjai Sharma*; Anupam Swami   ( Pages 1-23 )
Email:nell_1970@rediffmail.com
Affiliation: Deen Dayal Upadhyaya College, (University of Delhi), Delhi, India       DOI: https://doi.org/10.58517/IJICM.2018.7101

Keyword

Triangular fuzzy numbers; Signed distance method; Weibull deterioration distribution;Partial backlogging; ramp type demand; fuzzy holding cost; ordering cost

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Babita Tyagi; Ajay Singh Yadav; Sanjai Sharma; Anupum Swami, An inventory model with partial backordering, weibull distribution deterioration under two level of storage, International Journal of Computer Applications(0975 – 8887) Volume 129 – No.16, November’ 2015, pp.15-22.

Ajay Singh Yadav; Babita Tyagi; Sanjai Sharma; Anupum Swami,  Two warehouse inventory model with ramp type demand and partial backordering for weibull distribution deterioration, International Journal of Computer Applications(0975 – 8887) Volume 140 – No. 4, April’ 2016, pp.15-25.

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Ajay Singh Yadav; Sanjai Sharma; Anupum Swami,A fuzzy based two-warehouse inventory model for non-instantaneous deteriorating itemswith conditionally delay in payment, International Journal of Control Theory and Application (0974-5572), Volume 10 – No-11, 2017, pp 107-123.