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Operations Research




                    Notes             Rank    Simple %    Cummulative   Consumption  Cumulative  Cumulative  Category
                                                                          value     c.v. %
                                       1–5   5/20×100 = 25%    25        1,83,900   1,83,900   88.77%   A
                                      6–11   6/20×100 = 30%    55        20,500    2,04,400   98.67%    B
                                      12–20   9/20×100 = 45%   100        2,772    2,07,172   100%      C

                                   Graphical representation:

                                                  Y
                                                100

                                          Cumulative Consumption  Value %  75  B    C





                                                50



                                                25


                                                 0        A   25          50       75     100       X
                                                               Cumulative Rate of Consumption %






                                      Task  The following information is known about a group of materials to be classified in
                                     ABC categories:

                                        Model No.          Annual consumption in units       Cost per unit (`)
                                          501                   30,000                           0.10
                                          502                  2,80,000                          0.15
                                          503                    3,000                           0.10
                                          504                  1,10,000                          0.05
                                          505                    4,000                           0.10
                                          506                  2,20,000                          0.05
                                          507                   15,000                           0.05
                                          508                   80,000                           0.15
                                          509                   60,000                           0.10
                                          510                    8,000                           0.10

                                   13.3.2 VED Analysis (Vital. Essential and Desirable Items Analysis)

                                   This analysis is basically used to control spare parts keeping in view criticality of the items
                                   needed in production, the spare parts are classified in to three categories as Vital Essential and
                                   Desirable. Such spare parts, if they are not available on time to carry on production activities
                                   and virtually the activities may come to a standstill. These items are categorized as ‘vital spares’.
                                   The spares, non-availability of which cannot be tolerated for more than a few hours or a day and
                                   the cost of lost production is high and at the same time ‘which’ are essential for the production
                                   to continue are known as ‘essential spares’. The spares which are needed but their absence for a




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