Mathematical modelling Essay Example | Topics and Well Written Essays - 750 words

Mathematical modelling - Essay Example In mathematics, modelling offers a means of solving real world problems using mathematics (Berry & Houston, 1995). This is done using the representation of the association between at least two variables that are significant to a given problem. Consequently, mathematical modelling enables people to create or visualize patterns or representations of something to be constructed. This process involves formulating models using real world data obtained from observation, investigation, and evaluation. Mathematical models are then analysed to establish mathematical conclusions that are interpreted to predict or explain the real world data. The predictions are then tested to establish their applicability, validity, use, and limitations. Mathematical models are used to identify what is real world and conceptual world (Berry & Houston, 1995). In the real world, phenomena and behaviours of natural or artificial systems are observed and using the conceptual world, efforts are made to understand the real world through formulation of a mathematical model, solving resulting equations, and interpreting the results. With the resulting mathematical models, humans can then offer students the knowledge and skills of creating models and determining the extent to which they imitate the real world. In this report, mathematical models have been used to determine the maximum and minimum heights of two roller coasters. Height is a crucial attribute in the design of actual roller coasters and when determined, it is then related to roller coaster site and the conditions needed to have smooth rides. In this report, the application of mathematical models has involved listing all known variables as a way of identifying the unknown. This is followed by defining assumptions, and applying the physical principle to be applied to the model. Since to find the maximum height and minimum height the first derivative is zero,

Describe rehearsal, exercise and maintenance of business continuity Essay

Describe rehearsal, exercise and maintenance of business continuity - Essay Example In the rehearsal or exercise, there are important ingredients that need to be incorporated, according to the proposed exercise checklist, to wit: (1) clarity of objective and format of the plan; (2) budgets and approvals that were obtained; (3) facilities that are specifically identified to be needed; (4) design of alternative scenarios for the exercise process; (5) proper documentation before and after the scheduled exercise; (6) actual exercise activity; (7) learning outcomes; (8) advisory to stakeholders; and (8) revisions of portions where risks have been identified (Credibility, Rehearsals, Exercising, Audits of Plans and Risk Decision-Making, 2014). Maintenance is another relevant component in terms of keeping the plan updated, in the light of new developments, resources, or participants who need to be apprised and oriented. As emphasized, â€Å"organizations, its people, and environments are continually changing† (Credibility, Rehearsals, Exercising, Audits of Plans and Risk Decision-Making, 2014, p. 12). The review process, per se, was recognized as part of the maintenance component. Benchmarking is defined as â€Å"a measurement of the quality of an organizations policies, products, programs, strategies, etc., and their comparison with standard measurements, or similar measurements of its peers. The objectives of benchmarking are (1) to determine what and where improvements are called for, (2) to analyze how other organizations achieve their high performance levels, and (3)to use this information to improve performance† (Benchmarking, 2014). Applying this measurement tool in business continuity plans, benchmarking reviews the plan’s components, structures, objectives, and processes in the light of similarities or disparities with other plans and to incorporate any component that is deemed pertinent for the current organization’s