Zero

Zero-One (0-1) Integer Model

Summary

Zero-one (0-1) integer linear programming represents a mathematical method that uses a set of binary answers (yeas and no) to solve with two mutually exclusive options (Anderson et al., 2016). The method has a wide application in different areas of life, ranging from the world of finance to everyday problems that people face regularly. In zero-integer problems, every variable is represented solely by either 0 or 1 and is concerned with either selecting or rejecting a specific option that would result in an greatest conclusion.

The research article simply by Gholamnejad (2008) ought to be mentioned because it is worried with the use of the particular zero-one integer development in actual life, inside the context associated with pit mining sequences. Even though the particular article is very out dated, it is helpful to further one’s knowledge of how integer development can be utilized. The objectives associated with using the setting, according to the particular researcher, were worried with the appropriate usage of equipment in mining facilities making sure the efficiency associated with ore production, achieving minimum degrees associated with deviation from each long- and medium-term plans, and also making sure that maximal versatility of systems has been achieved.

When developing a design to utilize during hole mining, the specialist suggested using a number of factors. For example, it is required to take into account the particular characteristics of waste materials and ore hindrances that are uncovered to mining, the particular capacities of kit that will is used within mining, long-term plus medium-term plans associated with production, as nicely as the general state of techniques in general. When applying the particular zero-one integer issue, the scholar arrived at several conclusions.

First, it will be essential to note that the model provided more complexities for the processes at short-term mines. Despite this issue, such a kind of modeling ensures that each block in the block modeling has a “free face for loading and transportation equipment” (Gholamnejad, 2008, p. 762). Moreover, the model ensures that each period of handling resources has predetermined standards of quality when preparing for further stages of processing.

Reaction

In the article, the author does not discuss how one can apply the simple zero-one integer model in situations that do not involve mining. Therefore, it is imperative to develop a model by oneself to understand its application in real life. For instance, when deciding whether or not to take an umbrella one day, a series of yes or no questions should be answered to come to one of two mutually exclusive options.

The questions to answer with yes/no options should include: was it raining yesterday? Is there are a forecast suggesting rain in your area? Is the umbrella convenient to take? Do you mind getting wet if you leave the umbrella at home? The scheme below represents the decision-making process within the model and will lead to deciding whether or not an umbrella should be taken. Overall, the article by Gholamnejad (2008) is limited by focusing only on the mining industry, failing to provide examples for the real-life use of the model. In this reaction, it was attempted to offer a simple breakdown of how the model can be used for real-life situations, without complicating things. It is also important to note that more studies should be conducted explaining the use of the model.

References

Anderson, D. R., Sweeney, D. J., Williams, T. A., Camm, J. D., Cochran, J. L., Fry, M. J., & Ohlmann, J. W. (2016). Quantitative methods for business with CengageNOW (13th ed. ). Boston, MA: Cengage Learning.

Gholamnejad, J. (2008). A zero-one integer programming model for open pit mining sequences. The Journal of The Southern African Institute of Mining and Metallurgy, 108, 759-762.

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