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Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from simple personal tasks (e.g. how to turn on an appliance) to complex issues in business and technical fields.
Successive linear programming (SLP) — replace problem by a linear programming problem, solve that, and repeat; Sequential quadratic programming (SQP) — replace problem by a quadratic programming problem, solve that, and repeat; Newton's method in optimization. See also under Newton algorithm in the section Finding roots of nonlinear equations
The TRIZ method 40 principles of invention rendered schematically, stacked vertically in four-column, within single A3 paper sheet. The 40 principles of invention are a suite of ideas that purport to aid in solving hard technical problems. The principles are based on TRIZ, a theory about problem solving.
Many mathematics journals ask authors of research papers and expository articles to list subject codes from the Mathematics Subject Classification in their papers. The subject codes so listed are used by the two major reviewing databases, Mathematical Reviews and Zentralblatt MATH .
The following is a list of notable unsolved problems grouped into broad areas of physics. [1]Some of the major unsolved problems in physics are theoretical, meaning that existing theories seem incapable of explaining a certain observed phenomenon or experimental result.
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
Bulletproof problem solving: the one skill that changes everything. Hoboken, NJ: John Wiley & Sons. ISBN 9781119553021. OCLC 1047803356. Friga, Paul N. (2009). "Develop the issue tree". The McKinsey engagement: a powerful toolkit for more efficient & effective team problem solving. McKinsey trilogy. Vol. 3. New York: McGraw-Hill. pp. 91–96.
In science and engineering, root cause analysis (RCA) is a method of problem solving used for identifying the root causes of faults or problems. [1] It is widely used in IT operations, manufacturing, telecommunications, industrial process control, accident analysis (e.g., in aviation, [2] rail transport, or nuclear plants), medical diagnosis, the healthcare industry (e.g., for epidemiology ...