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22    CHAPTER 1 INTRODUCTION


                                     trend projection where we forecast the future trend in some variable; we look at
                                     regression analysis which focuses on trying to quantitatively explain and predict
                                     the movement in a variable; and we introduce a number of qualitative approaches
                                     to forecasting.

                                     Dynamic Programming

                                     In this next online chapter, we look at dynamic programming which is an approach
                                     that allows us to break up a large problem in such a fashion that once all the smaller
                                     problems have been solved, we are left with an optimal solution to the large
                                     problem. As with linear programming, the programming term indicates a logical
                                     series of stages in our solution method.
                                     Markov Process Models

                                     Finally, in this last online chapter we look at Markov process models, which are
                                     useful in studying the evolution of processes of systems over repeated trials. For
                                     example, Markov processes have been used to describe the probability that a
                                     machine, functioning in one period, will break down in another period.





                      Summary

                      l This text focuses on the quantitative techniques and models that are commonly used in management
                         science.
                      l The primary purpose of such techniques and models is providing information that will help people
                         make better decisions than they otherwise could have done.
                      l Management science is used successfully in many business organizations and makes a substantial
                         contribution to improved performance at both the operational and strategic levels.
                      l One of the distinguishing features of management science is its extensive use of models – both
                         qualitative and quantitative – to help decision-making. Knowledge of the quantitative management
                         science models that are available and their appropriate use is critical to a successful management
                         scientist. Equally important is a knowledge of the modelling process and where this fits into the wider
                         methodology adopted by management scientists.
                      l As we progress through the text, we shall be developing your knowledge and understanding of the
                         more common quantitative management science models; we shall help you understand where their
                         use is appropriate through examples, case studies and Management Science in Action examples; we
                         shall develop your skills in modelling and we will help you become a better management scientist!





                      WORKED EXAMPLE


                          t the end of each chapter we shall introduce a  congestion on campus. Some initial survey work
                      A detailed business problem and show how    suggests that during semesters around 5000 cars
                      the problem can be analyzed using MS techniques  per weekday arrive on campus although most do not
                      introduced in that chapter. You should read the  stay all day. Following some initial consultation, one
                      example and then develop your own solution to the  option now under consideration relates to the con-
                      problem before going on to read our suggestions.  struction of an additional short-term car park on
                         In this chapter we introduced the scenario that  some spare land next to the campus. Initial analysis
                      the President of your College had approached you  has concluded that the car park could be con-
                      seeking help with the problem of increased traffic  structed for a one-off cost of E2 million. To pay for


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