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Operations Research




                    Notes          1941 Onward

                                   In 1941, an Operational System Section (ORS) was established in Coastal Command which was
                                   to carry out some of the most well-known OR work in World War II.
                                   The responsibility of Coastal Command was, to a large extent, the flying of long-range sorties
                                   by single aircraft with the objective of sighting and attacking surfaced U-boats. Amongst the
                                   problems that ORS considered were:

                                   1.  Organization of flying maintenance and inspection:  Here the  problem was  that in a
                                       squadron each aircraft, in a cycle of approximately 350 flying hours, required in terms of
                                       routine maintenance 7 minor inspections lasting 2 to 5 days each and a major inspection
                                       lasting 14  days. The question, which  needs to  be answered,  was how can flying and
                                       maintenance be organized to make best use of squadron resources?
                                   2.  Comparison of aircraft type: The problem was one of deciding, for a particular type of
                                       operation, the relative merits of different aircraft in terms of factors such as: miles flown
                                       per  maintenance man per month; lethality of load; length of sortie;  chance of  U-boat
                                       sighting; etc.

                                   3.  Improvement in the probability of attacking and killing a U-boat: In early 1941 the attack
                                       kill probability was 2% to 3%. It is in this area that the greatest contribution was made by
                                       OR in Coastal Command.
                                   Although scientists had been involved in the hardware side of warfare i.e. designing better
                                   planes, bombs, tanks,  etc. scientific analysis of  the operational use of  military resources had
                                   never taken place in a systematic  fashion before the World  War II. Military personnel were
                                   simply not trained to undertake such analysis.

                                   By the end of the war OR was well established in the armed services both in the UK and in the
                                   USA.
                                   Following the end of the war OR took a different course in the UK as opposed to in the USA. In
                                   the UK many of the distinguished OR workers returned to their original peacetime disciplines.
                                   As such OR did not spread particularly well, except for a few isolated industries like iron, steel
                                   and coal. Whereas, in the USA, OR spread to the universities to begin systematic training in OR.



                                     Did u know?     The  importance  of  Operations  Research in  India was  first  felt by  Prof.
                                     Mahalanobis when he used OR techniques in the formulation of the second five year plan for
                                     forecasting the trend in demand and availability of resources. Planning commission made
                                     use of OR techniques for planning the optimum size of the Caravelle fleet of Indian Airlines

                                   1.5 Applications of Operations Research


                                   To give an idea of the application areas in which OR can be applied, given below are abstracts
                                   from papers on OR projects that have been reported in the literatures. All these projects are
                                   drawn from journals published in recent past.
                                   Note that, at this stage of knowledge of OR, you will probably not understand every aspect of
                                   these abstracts but you should have a better understanding of them by the end of the course.

                                      Managing  consumer  credit  delinquency  in  the  US economy:  a  multi-billion  dollar
                                       management science application: GE Capital provides credit card services for a consumer
                                       credit business exceeding $12 billion in total outstanding dollars. Its objective is to optimally
                                       manage delinquency  by  improving  the  allocation  of  limited  collection  resources  to




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