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Unit 1: Introduction to Operations Research




               maximize net  collections over  multiple billing  periods. GE developed a  probabilistic  Notes
               account flow model and statistically designed programmes to provide accurate data on
               collection resource performance. A linear programming formulation produces optimal
               resource allocations that have been implemented across the business.
              Control of the water distribution system under Irrigation scheme in Malaysia: A linear
               programming optimizations model was developed  and  adapted  for  daily  operating
               decisions that would provide for a proper control of the water distribution system in real-
               time for a Irrigation scheme in Malaysia. Water orders are used as input in the optimizations
               model and the water ordering programme employs a simplified routing method to obtain
               a solution to the unsteady state condition. The routed flow is then optimized by minimizing
               the deviation between gate releases and water order demands of the users using the linear
               programming technique. Physical limitations of the system and water volume balance
               are used as constraints.

               The results showed that the model is capable of providing the desired operating plan with
               a more stable flows and manageable releases. By following the models predictions, all the
               gate demands are met while stable flows in canal reaches are maintained and canal water
               depths are kept within the desired target levels.

              Formulating insurance polices by Life Insurance Company in India: LIC uses OR to decide
               on  the premium rate  for it’s various policies and also how  best  the  profits could  be
               distributed in the case of profit policies.

              Application of OR for optimum utilization of urban facilities: Increasingly, citizens are
               demanding more urban services, by type, quantity, and quality. The resulting pressure,
               between the demands for more and better services, on the one hand, and decreased revenue,
               on the other, has created a strong need for improved management decision making in
               urban services.
               Thus, OR is widely used for effective and efficient allocation or deployment of the resources
               of urban service systems, including personnel, equipment, and various service-improving
               technologies.
          An important consequence of the application of OR to a wide variety of problems is that a small
          set of problem types has been  identified which accounts for most problems. Because of  the
          frequent recurrence of these problems, prototype techniques have been developed for modeling
          them and for deriving solutions from these models. Prototype applications include:
          Forecasting: Using time series analysis to answer typical questions such as, how big will demand
          for products be? What are the sales patterns? How will this affect profits?

          Finance & Investment: How much capital do we need? Where can we get this? How much will
          it cost?
          Manpower Planning & Assignment: How many employees do we need? What skills should they
          have? How long will they stay with us?
          Sequencing & Scheduling: What job is most important? In what order should we do jobs?
          Location, Allocation, Distribution & Transportation: Where is the best location for operation?
          How big should facilities be? What resources are needed? Are there shortages? How can we set
          priorities?

          Reliability & Replacement Policy: How well is equipment working? How reliable is it? When
          should we replace it?
          Inventory Control and Stock out: How much stock should we hold? When do we order more?
          How much should we order?



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