000 01760naa a2200181 4500
008 151029b xxu||||| |||| 00| 0 eng d
100 _aPatra, Kartik
245 _aRisk Analysis in a Production Inventory Model with Fuzzy Demand, Variable Production Rate and Production Time Dependent Selling Price
260 _a
_bSpringer
_c
300 _a505-529p.
520 _aIn this paper a production inventory model of a single item with a variable production rate and production time dependent selling price has been introduced. Realistically it is seen that for any business concern, demand is always uncertain. Henceforth, in this model, demand of an item has been assumed to be fuzzy but its membership function is not known in prior. It is also considered that the production rate is a decreasing function of the inverse efficiency of the system. Under these circumstances, a profit function of the model has been formulated. As demand is fuzzy with unknown membership function, hence to get expected maximum profit, the diffusion method including possibility probability distribution has been used and the risk estimation values for failure to attain different profit levels have been evaluated. Finally the proposed model has been demonstrated taking a numerical example and a comparison among different types of demand such as crisp, fuzzy with triangular and trapezoidal membership value and fuzzy with unknown membership value have been shown.
650 _aOperations Research- Risk Analysis
650 _aProduction Inventory Model
650 _aPossibility probability distribution
700 _aMonda, Shyamal Kumar
773 0 _040002
_dOperational Research Society of India
_oS83243
_tOpsearch. 52(3) Jul-Sep 2015
_x0030-3887
942 _2ddc
_c8
999 _c86891
_d86891