By Ali Emrouznejad
''Using a variety of operational study (OR) optimization examples, utilized Operational examine with SAS demonstrates how the OR techniques in SAS paintings. The ebook is among the first to commonly disguise the applying of SAS systems to OR difficulties, equivalent to unmarried criterion optimization, venture administration judgements, revealed circuit board meeting, and a number of standards choice making. The textual content starts off with the algorithms and strategies for linear programming, integer linear programming, and target programming versions. It then describes the foundations of numerous OR methods in SAS. next chapters clarify the way to use those methods to resolve a number of forms of OR difficulties. every one of those chapters describes the idea that of an OR challenge, offers an instance of the matter, and discusses the explicit strategy and its macros for the optimum resolution of the matter. The macros comprise facts dealing with, version construction, and file writing. whereas basically designed for SAS clients in OR and advertising and marketing analytics, the ebook is additionally utilized by readers drawn to mathematical modeling ideas. by way of formulating the OR difficulties as mathematical types, the authors express how SAS can resolve a number of optimization problems''-- Read more...
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The main procedure used for such a transportation problem is PROC OPTMODEL. 2 illustrates the data flow in the ORTRANS. It shows: • The cost matrix that is required for ORTRANS, in which the capacity of any supplier (si) and the customer requirement (dj) are specified • The macros (%data, %model, and %report) • The result data sets that are available for print or can be used for further analysis In the rest of this section, the procedure for solving a transportation problem (ORTRANS) in SAS, together with an example, is explained.
00 . 00 . . 1 Concept of Assignment Problem The assignment problem is a special class of LP problem. It deals with the situations in which resources are assigned to tasks or other work requirements. Typical examples include assignment of workers to tasks and assignment of machines to jobs. The objective is to yield an optimal matching of resources and tasks. Commonly used criteria are costs, profits, and time. The assignment problem can be described as follows. A company has a group of workers (i = 1, 2, …, n) and a set of tasks (j = 1, 2, …, n) to complete.
00 . 1 Concept of Transshipment Problem The transshipment problem is an extension of the transportation problem. For the transportation problem, it is assumed that a commodity can only be shipped from an origin to a destination. In many real-life situations, it is also possible to distribute the commodity through the points of origins or through the points of destinations. Sometimes it might be advantageous to distribute a commodity from an origin to an intermediate, or transshipment, point before shipping it to a destination.