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20    CHAPTER 1 INTRODUCTION


                                     usefulness of the model. This is another reason why the client/decision-maker should
                                     also be involved in the modelling process – they may know better than the manage-
                                     ment scientist which assumptions are realistic and which less so. Model testing or
                                     model validation is typically the next stage. This is where we use the model and the
                                     data to analyze/solve the problem and try to assess whether the model is a reason-
                                     able one for the problem situation. In part this is about assessing whether the output
                                     we get from the model appears sensible given the problem context. Finally, if we are
                                     satisfied the model has been validated then we can proceed to model use – starting
                                     to use the model to assist the decision-maker. Again, it is worth emphasizing that in
                                     practice the modelling process – like the rest of the management science method-
                                     ology – is messy, iterative, time-consuming and typically frustrating with a lot of trial-
                                     and-error often taking place before a satisfactory outcome has been realized.


                               1.8    Management Science Models and Techniques


                                     In this section we give a brief overview of the MS techniques and models covered in this
                                     text and on the complementary online platform. Don’t be put off by the fact that some
                                     may seem very technical. We’ll see later how these techniques work and how they can
                                     be used effectively in decision-making.

                                     Linear Programming
                                     We start the text by looking in detail at one of the classic MS techniques – that of
                                     linear programming (LP). LP is a problem-solving approach developed for situations
                                     where we require to determine an optimum solution and where we face certain
                                     limitations or constraints on what we are able to do. We may seek to maximize profit,
                                     minimize costs, minimize travel time, maximize sales but subject to various constraints
                                     imposed on the problem. The term programming refers not to the need for computer
                                     programming but to the fact that technique comprises a set of logical steps to
                                     determine the optimal solution to an LP problem. The term linear indicates that the
                                     problem can be set out using linear (straight-line) relationships between the variables.

                                     Transportation and Assignment
                                     We next look at a specialized group of techniques that are applied to transportation
                                     and assignment problems. These are common application areas where items have to
                                     be transported between locations or where resources have to be assigned to partic-
                                     ular tasks. Because of their relatively specialized focus, a number of solution techni-
                                     ques have been developed for these types of problem.

                                     Network Models
                                     Specialized solution procedures exist for problems involving some sort of network
                                     (such as roads or routes) enabling us to quickly and effectively solve problems in
                                     such areas as transportation system design, information system design and project
                                     scheduling.
                                     Project Management

                                     In many situations, managers are responsible for planning, scheduling and control-
                                     ling projects that consist of numerous separate jobs or tasks performed by a variety
                                     of departments, individuals and so forth. The PERT (Programme Evaluation and
                                     Review Technique) and CPM (Critical Path Method) techniques help managers
                                     carry out their project scheduling responsibilities.




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