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The main purpose of a problem statement is to identify and explain the problem. [3] [4] Another function of the problem statement is as a communication device. [3] Before the project begins, stakeholders verify the problem and goals are accurately described in the problem statement. Once approved, the project reviews it.
The answer to a research question will help address a research problem or question. [5] Specifying a research question, "the central issue to be resolved by a formal dissertation, thesis, or research project," [6] is typically one of the first steps an investigator takes when undertaking research.
Exploratory research is "the preliminary research to clarify the exact nature of the problem to be solved." It is used to ensure additional research is taken into consideration during an experiment as well as determining research priorities, collecting data and honing in on certain subjects which may be difficult to take note of without exploratory research.
A research statement is a summary of research achievements and a proposal for upcoming research. It often includes both current aims and findings, and future goals. Research statements are usually requested as part of a relevant job application process, and often assist in the identification of appropriate applicants.
The assignment problem is a fundamental combinatorial optimization problem. In its most general form, the problem is as follows: The problem instance has a number of agents and a number of tasks. Any agent can be assigned to perform any task, incurring some cost that may vary depending on the agent-task assignment.
Research design refers to the overall strategy utilized to answer research questions. A research design typically outlines the theories and models underlying a project; the research question(s) of a project; a strategy for gathering data and information; and a strategy for producing answers from the data. [ 1 ]
The associated decision problem is: for each N, to decide whether the graph has any tour with weight less than N. By repeatedly answering the decision problem, it is possible to find the minimal weight of a tour. Because the theory of decision problems is very well developed, research in complexity theory has typically focused on decision problems.
The term "problem structuring methods" as a label for these techniques began to be used in the 1980s in the field of operations research, [8] especially after the publication of the book Rational Analysis for a Problematic World: Problem Structuring Methods for Complexity, Uncertainty and Conflict. [9]