By Ali Emrouznejad
''Using a variety of operational study (OR) optimization examples, utilized Operational examine with SAS demonstrates how the OR methods in SAS paintings. The booklet is likely one of the first to commonly conceal the appliance of SAS tactics to OR difficulties, similar to unmarried criterion optimization, undertaking administration judgements, revealed circuit board meeting, and a number of standards determination making. The textual content starts with the algorithms and techniques for linear programming, integer linear programming, and aim programming versions. It then describes the foundations of numerous OR techniques in SAS. next chapters clarify easy methods to use those techniques to resolve quite a few forms of OR difficulties. every one of those chapters describes the concept that of an OR challenge, provides an instance of the matter, and discusses the categorical approach and its macros for the optimum answer of the matter. The macros comprise facts dealing with, version construction, and document writing. whereas essentially designed for SAS clients in OR and advertising analytics, the publication is usually utilized by readers attracted to mathematical modeling suggestions. by way of formulating the OR difficulties as mathematical versions, the authors exhibit how SAS can remedy numerous optimization problems''-- Read more...
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Additional info for Applied operational research with SAS
The upper-right corner of each cell in the tableau represents the cost, cij. 2. 6 An assignment network. 9 ensure that each task is to be performed by exactly one worker. 14 ensure that each worker is to be assigned to exactly one task. 2 is an LP model, the optimal solution must be integral because the assignment model holds the integrality property. sas”). 7 illustrates the data flow in the ORASSIGN. It shows: • The cost matrix that is required for ORASSIGN—in this case, the cost associated with worker i performing task j • The macros (%data, %model, and %report) • The macro variables needed to be set before running the code • The results datasets that are available for print or can be used for further analysis In the rest of this section, the procedure for implementing ORASSIGN, together with an example, is explained.
1 is referred to as the transportation model. 1 minimizes the total transportation cost. Unit transportation costs cij for shipping 1 unit of commodity from supplier i to customer j are known. These costs are often dependent on the travel distances between supplier i to customer j. It is assumed that the cost on a particular route of the transportation network is directly proportional to the number of commodities shipped on that route. If supplier i cannot supply customer j, the unit transportation cost cij is considered infinite (∞).
6 ORASSIgN: Report-Writing Macro (%report) The ORASSIGN results include a table of workers and tasks and a total cost (or profit). This information is saved in an SAS DATA file and in print format. The SAS procedure for report-writing is as follows. 7 ORASSIgN: Macro (%orassign) To make the system as user friendly as possible, the %orassign macro combines the data-handling, model-building, and report-writing codes. * The orassign macro for assignment problem; %macro orassign; %data; %model; %report; %mend orassign; In this code, the %orassign macro is used to manage all the codes explained earlier, including data-handling, model-building, and report-writing.
Applied operational research with SAS by Ali Emrouznejad