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Operations Research




                    Notes          Self Assessment

                                   Fill in the blanks:
                                   9.  Degeneracy involves ………………steps.
                                   10.  To resolve degeneracy at the initial solution, allocate a small positive quantity e to one or
                                       more unoccupied cell that have ………………..transportation costs.
                                   11.  …………………..may occur either at the initial stage or at subsequent iterations.

                                       


                                     Case Study  South India Soaps Ltd.

                                     The South India Soaps Ltd. (SISOL) operated 3 factories from which it shipped soaps to
                                     regional warehouses. In 2007, the demand  for soaps was 24,000 tonnes distributed as
                                     follows:

                                                       Region          Demand in 000’ tones
                                                    Cochin                     5
                                                    Nellore                    4
                                                    Salem                      4
                                                    Madurai                    11
                                                                               24

                                     One-shift production capacity in each of the 3 factories was as follows:

                                                       Region          Demand in 000’ tones
                                                    Chennai                    12
                                                    Coimbatore                 7
                                                    Bangalore                  7
                                                                               26

                                     Estimated transport costs (in hundred rupees per 000’ tones) are given below:
                                                Factory                Regional warehouses
                                                            Cochin    Nellore    Salem     Madurai
                                             Chennai           95        105        80         15
                                             Coimbatore        115       180        40         30
                                             Bangalore         155       180        95         70

                                     SISOL followed  a policy  of  decentralization  under which  each  of  the  four  regional
                                     warehouses was under  the direct supervision of a regional sales manager and he  was
                                     responsible for the profitability of operation under his control.
                                     Over a period of time, this procedure lead to increasing friction in the organization. There
                                     were questions whether this procedure achieved the objectives of minimizing transport
                                     costs; also there was no coordination. For instance in 2005, the sales manager of Madurai
                                     & Nellore placed their orders with the Chennai factory which did not have the capacity to
                                     meet all demands. This led to inefficient and duplicate orders, friction etc. The final pattern
                                     that emerged in 2005 was as follows:



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