Multi item inventory model include lead time with demand dependent production cost and set-up-cost in fuzzy environment
Publish place: Journal of Fuzzy Extension & Applications، Vol: 1، Issue: 3
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JFEA-1-3_006
تاریخ نمایه سازی: 15 فروردین 1400
Abstract:
In this paper, we have developed the multi-item inventory model in the fuzzy environment. Here we considered the demand rate is constant and production cost is dependent on the demand rate. Set-up- cost is dependent on average inventory level as well as demand. Lead time crashing cost is considered the continuous function of leading time. Limitation is considered on storage of space. Due to uncertainty all cost parameters of the proposed model are taken as generalized trapezoidal fuzzy numbers. Therefore this model is very real. The formulated multi objective inventory problem has been solved by various techniques like as Geometric Programming (GP) approach, Fuzzy Programming Technique with Hyperbolic Membership Function (FPTHMF), Fuzzy Nonlinear Programming (FNLP) technique and Fuzzy Additive Goal Programming (FAGP) technique. An example is given to illustrate the model. Sensitivity analysis and graphical representation have been shown to test the parameters of the model.
Keywords:
Inventory , Multi-item , Leading Time , Generalized trapezoidal fuzzy number , fuzzy techniques , GP Technique
Authors
Satya Das
Department of Mathematics, General Degree College at Gopiballavpur-II, Jhargram, West Bengal, India.
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