Mathematics in Computational Science and Engineering. Группа авторов

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Mathematics in Computational Science and Engineering - Группа авторов

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27,600 40,000 67,600 4 162 12.35 24,700 30,000 54,700 5 201 9.95 19,900 44,000 63,900 6 228 8.77 17,542 28,000 45,562 7 260 7.69 15,380 48,000 63,380 8 314 6.37 12,740 25,000 37,740 9 270 7.41 14,820 50,000 64,820 10 317 6.31 12,620 23,000 35,620 11 402 4.98 9,960 52,000 61,960 12 517 3.87 7,740 20,000 27,740 13 895 2.23 4,460 55,000 59,460

      Numerical Examples Parameters: Let assume that D = 2000, T = 2,000, C1 = 260, H =$650, I = 15%. The optimal solution is images images TC = 73,720.

      1.2.3 Inventory Control Commodities in Instantaneous Demand Method Under Development of the Stock

      The numerical created model for resulting documentation and assumptions.

       1.2.3.1 Assumptions

      The accompanying assumptions are considered to build up this model.

       The request cost for the thing is Inventory organized.

       Shortages are allowed.

       Instantaneous request and stable Replenishment.

       Stock decayed during the arranging skyline are repairable.

       Holding cost, Set-up cost, Shortage cost and unit cost stay consistent over the long run.

       The dispersion of an opportunity to fall apart follows a four Parameters.

       Replenishment is quick.

       1.2.3.2 Notations

      This section begins with a listing of the Notations used.

      S = Highest Stock stage.

      f (d) = Probability density characteristic of Demand.

      D = Deterioration.

      Q = Optimum production order amount.

      CS = Shortage price. CH = Holding Price per unit per unit of duration held in Stock. Q* = Back ordering is permitted. I = units per year C = Unit price for producing or purchasing every unit, TEC1 (Q) = Optimum Inventory achieve local minimum. TEC1 (I)= Expected price. TEC (Q*) = Conditional for Ordering.

       1.2.3.3 Model Formulation

      This model is the same as fixed setup cost for buying any units to renew Stock at start of period, say K, is related buy or making things in a given timeframe or cost of assembling. Leave I alone the Inventory stage toward the start of the level infers that a request size (Q-I) thing can be set to pass on the available Inventory up to Q. Hence, the anticipated cost transforms into,

      (1.7)images

      The optimal value of Q says Q* that minimizes TEC1 (Q)) is given by

      (1.8)images

      where

images

      Since K is constant, minimum value of TEC’ (Q) ought to additionally accept via the same condition as given in equation

      (1.9)images

      Since K is constant, minimum value of

      And consequently Q* can even decrease TEC (Q).

      Let us present two new control factors S and s, where S represents the extreme Stock stage and s signifies the reordered stage that is while the Stock

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