Introduction of Or

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    CHARACTERISTICS CONSTITUING THE NATURE OF OR

    Interdisciplinary team approach

    Operation research is done by a team of scientists

    drawn from various discipline such as mathematics,

    statistics, economics, engineering, physics etc. Each

    member of the OR team is benefited from the

    viewpoint of other and collaborative study gives a

    solution with great chance of acceptance by

    management.

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    System Approach OR emphasizes on the overall approach to the system.

    This characteristics of OR is often referred to as

    system orientation. The orientation is based on the

    observation that in the organized systems thebehavior of any part ultimately has some effect on

    every other part. In OR., an attempt is made to take

    account of all the significant effects and to evaluate

    them as a whole. OR thus considers the total systemfor getting the optimum decisions

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    Helpful in improving the quality of solution Operation research cannot give perfect answers or

    solutions to the problem. OR simply helps in improving

    the quality of the solution but does not result in

    perfect solution.

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    Scientific method: Operation research involves scientific and systematic

    approach of complex problems to arrive at the

    optimum solution. It uses techniques of scientific

    research.

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    Goal oriented optimum solution Operation research tries to optimize a well defined

    function subject to given constraints and as such is

    concerned with the optimization theory.

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    Use of models: Operation research uses models built by quantitative

    measurement of the variables concerning a given

    problem and also derives a solution from the model

    using one or more of the diversified solutiontechniques. A solution may be extracted from a model

    either by conducting experiments on it or by

    mathematical analysis.

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    Requires willing executives: OR does require the willingness on the part of the

    executive for experimentation to evaluate the costs

    and the consequences of the alternative solutions of

    the problem. It enables the decision maker to beobjective in choosing an alternative from among many

    possible alternatives.

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    Reduce complexity: OR tries to reduce the complexity of business

    operations and does help the executive in correcting a

    troublesome function and to consider innovations

    which are too costly and complicated to experimentwith the actual practice. In view of this above, OR

    must be viewed both as a science and as an art.

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    MODELS AND MODELING IN OPERATION

    RESEARCHES

    A model in OR is a simplified representation of anoperation or is a process in which only the basic

    aspects or the most important features of a typical

    problem under investigation are considered. The

    objective of a model is to identify significant factorsand interrelationships.

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    A good model possess the following characteristics: It should be capable of taking into account, new

    formulation without having any changes in its frame.

    Assumption made in the model should be as small as

    possible.

    Variable used in the model must be less in number

    ensuring that it is simple and coherent.

    It should not take much time in its construction for anyproblem.

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    ADVANTAGES OF A MODEL

    Problems under consideration become controllable. It provides a logical and systematic approach to the

    problem

    It provides the limitations and scope of an activity.

    It helps in finding useful tools that eliminate

    duplication of methods applied to solve problems.

    It helps in finding solution for research and

    improvements in a system.

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    CLASSIFICATION OF MODELS

    The classification of models is done on the followingbasis:

    Models by function

    Models by structure

    Models by nature of an environment

    Models by extent of generality

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    MODELS BY FUNCTION

    These models consist of Descriptive models

    Predictive models and

    Normative models

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    Descriptive models: They describe facts and relationships among the

    various activities of problem. These models do not

    have an objective function as part of the model to

    evaluate decision alternatives. In these models, it ispossible to get information as to how one or more

    factors change as a result of changes in other factors.

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    Predictive models: These are used predictive analytics to create

    statistical model of future behavior.

    A predictive model is made up of a number of

    predictors, which are variable factors that are likely to

    influence future behavior or results. In marketing, for

    example, a customer's gender, age, and purchase

    history might predict the likelihood of a future sale.

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    Normative models: Prescriptive model which evaluates alternative

    solutions to answer the question, "What is going

    on?" and suggests what ought to be done or how

    things should work according to an assumption or

    standard. In comparison, a descriptive model

    merely describes the solutions without evaluating

    them.U

    sed mainly as a standard for measuringchange or performance.

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    MODELS BY STRUCTURE

    Iconic or physical models: They are pictorial representations af real systems and

    have the appearance of the real thing. Eg: city maps,

    blue prints, globe etc. These models are easy to

    observe and describe, but are difficult to manipulateand are not very useful for the purpose of prediction.

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    Analog Models: The model in which one set of properties is used to

    represent another set of properties are called analog

    models. After the problem is solved, the solution is

    reinterpreted in terms of the original system. Thesemodels are less specific, less concrete, but easier to

    manipulate than ionic models.

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    Mathematical or symbolic models: They are most abstract in nature. They employ a set of

    mathematical symbols to represent the components

    of real system. These variables are related together by

    means of mathematical equations to describe thebehavior of system.

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    MODELS BY NATURE OF AN

    ENVIRONMENT

    Deterministic models: They are those in which all parameters and functional

    relationships are assumed to be known with the

    certainty when the decision is to be made. Linear

    programming and break-even models are the exampleof deterministic models.

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    Probabilistic or stochastic models: These models are those in which atleast one

    parameter or decision variable is random variable.

    These models reflect to some extent the complexity of

    the real world and the uncertainty surrounding it.

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    MODELS BY THE EXTENT OF GENERALITY

    Specific models: When a model presents a system at some specific

    time, it is known as specific model, if the time factor is

    not considered, they are termed as static models..

    General models:

    Simulation and Heuristic models fall under the

    category of general models. These models are used to

    explore alternative strategies.