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We conclude this section by examining the solution to the model constructed earlier for our hypothetical production prob


We conclude this section by examining the solution to the model constructed earlier for our hypothetical production prob
We conclude this section by examining the solution to the model constructed earlier for our hypothetical production problem.
Using linear programming to solve this model yields the optimal solution of G 540 and W 252, i.
, the production plan that maximizes profits for the given data calls for the production of 540 gizmos and 252 widgets.
The reader may easily verify that this results in a profit of 7668 and fully uses up all of the first two resources while leaving 18 units of the last resource unused.
Note that this solution is certainly not obvious by just looking at the mathematical model - in fact, if one were greedy and tried to make as many gizmos as possible since they yield higher profits per unit than the widgets , this would yield G 708 and W 0 at which point all of the second resource is used up .
However, the resulting profit of 7080 is about 8 less than the one obtained via the optimal plan.Fassilia
United States. Alabama



day: 19.09.2018
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We conclude this section by examining the solution to the model constructed earlier for our hypothetical production prob

Some examples of popular O.
Some examples of popular O.
software systems include CPLEX, LINDO, OSL, MPL, SAS, and SIMAN, to name just a few.
While it would clearly be impossible to describe herein the features of all available software, magazine such as OR MS Today and IE Solutions regularly publish separate surveys of various categories of software systems and packages.
These publications also provide pointers to different types of software available; as an example, the December 1997 issue of OR MS Today pages 61-75 provides a complete resource directory for software and consultants.
Updates to such directories are provided periodically.
The main point here is that the ability to solve complex models problems is far less of an issue today than it was a decade or two ago, and there are plenty of readily available resources to address this issue.Fassilia
United States. Alabama



day: 19.09.2018
views - 190


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We conclude this section by examining the solution to the model constructed earlier for our hypothetical production prob

Although there are still large scale problems whose solution requires the use of mainframe computers or powerful worksta
Although there are still large scale problems whose solution requires the use of mainframe computers or powerful workstations, many big problems today are capable of being solved on desktop microcomputer systems.
There are many computer packages and their number is growing by the day that have become popular because of their ease of use and that are typically available in various versions or sizes and interface seamlessly with other software systems; depending on their specific needs end-users can select an appropriate configuration.
Many of the software vendors also offer training and consulting services to help users with getting the most out of the systems.
Some specific techniques for which commercial software implementations are available today include optimization mathematical programming including linear, nonlinear, integer, dynamic and goal programming , network flows, simulation, statistical analysis, queuing, forecasting, neural networks, decision analysis, and PERT CPM.
Also available today are commercial software systems that incorporate various O.
techniques to address specific application areas including transportation and logistics, production planning, inventory control, scheduling, location analysis, forecasting, and supply chain management.Fassilia
United States. Alabama



day: 19.09.2018
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In this context, it is often more important to quickly obtain a solution that is satisfactory as opposed to expending a
In this context, it is often more important to quickly obtain a solution that is satisfactory as opposed to expending a lot of effort to determine the optimum one, especially when the marginal gain from doing so is small.
The economist Herbert Simon uses the term satisficing to describe this concept - one searches for the optimum but stops along the way when an acceptably good solution has been found.
At this point, some words about computational aspects are in order.
When applied to a nontrivial, real-world problem almost all of the techniques discussed in this section require the use of a computer.
Indeed, the single biggest impetus for the increased use of O.
methods has been the rapid increase in computational power.Fassilia
United States. Alabama



day: 19.09.2018
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Although heuristics could be simple, common-sense, rule-of-thumb type techniques, they are typically methods that exploi
Although heuristics could be simple, common-sense, rule-of-thumb type techniques, they are typically methods that exploit specific problem features to obtain good results.
A relatively recent development in this area are so-called meta-heuristics such as genetic algorithms, tabu search, evolutionary programming and simulated annealing which are general purpose methods that can be applied to a number of different problems.
These methods in particular are increasing in popularity because of their relative simplicity and the fact that increases in computing power have greatly increased their effectiveness.
In applying a specific technique something that is important to keep in mind from a practitioner s perspective is that it is often sufficient to obtain a good solution even if it is not guaranteed to be the best solution.
If neither resource-availability nor time were an issue, one would of course look for the optimum solution.
However, this is rarely the case in practice, and timeliness is of the essence in many instances.Fassilia
United States. Alabama



day: 19.09.2018
views - 181


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