Transportation model is actually a model of the transportation that is designed after we solve the linear programming problems. Thus by this, we can actually cut if various extra costs, might make way for the new route or even lower the cost of the material handling and other costs too. For getting further details, you can check out manuals as transportation model homework answers.
Targets of this model:
The main target of this model is to analyze different methods and understand each and every element of transportation. For example, goods are mainly transported from a dispatching station to a number of receiving stations. Now when this shipment is being transported, we use linear programming techniques to analyze the whole route and cost of transportation and try to calculate any other way of how we can make this transportation more economical.
There will be number of solutions for a particular transportation model to make it more economical, and the user can choose on one of them depending upon the feasible region that he thinks will suit him the best.
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Assumptions of this model:
There are various assumptions taken for solving this transportation models:
- Quantity availability â€“
We need to analyze the total quantity and need to understand whether the quantity that is available for distribution at different stations and posts is equal to that of the total required amount for various consumptions at different centers.
Thus: available quantity equals to that of the required quantity.
- Different items for transportation â€“
We need to study he different items and raw materials that are transported from different houses of production to each and every center of consumption. And after studying this, we need to analyze the convenient ways of transportation of these materials.
- Cost of Independent transportation â€“
Study the cost that is required for the transportation model from one house of production to the consumption center. Thus actually we are analyzing he transportation cost of per unit items.
- Independent Cost â€“
The cost that is for per unit of transportation is actually independent to that of the quantity that is being transported.
Objectives of Transportation Models:
The main objective of this model as previously said is to reduce the cost of transportation as much as possible. Thus for an organization, we are actually trying to minimize the cost of the transportation sector.
- Feasible Solution – It defines a set of non negative allocation of individual elements thus finally resulting in removing the deficiencyÂ termed as the feasible solution
- Basic Feasible Solution -Â When an Â A – origin, and B â€“ destination type of problem is called a basic, to a feasible solution, then the resulting number of the allocations (positive) will be A + B, thus it will be less than the total of the columns and the rows.
Optimal Solution â€“
A feasible solution is said to be optimal whenever it reduces the total cost of production. The optimal solution will always not be the basic solution. This is done by working on again and again on the initial basic feasible solution and working on different improvements and successfully doing them. Thus one after the other successive positive add-ons are done and making it an optimal solution.
- Approximation method of Vogelâ€“
As name suggests, this was termed and developed by W.R. Vogel and suggest good approximation to the answers. Helps to provide us with different optimal solutions in various simple problems.
In situations of complex models also, we tend to use Vogelâ€™s approximation method and find an optimal solution, and then we work on it again making different edits and then again with further successive add-ons and deducting few things, the final solution is obtained.
- North West Corner Method â€“
The name is coined after it is derived from the fact that the main allocation if the resources have actually started from the North West part of the total matrix. Without considering a few things including the cost and just having capacity of the factory and the requirement of the dealer to be the main points of priority, we use this method.
Points to note while solving:
There are many points that we need to consider while solving for transportation model homework answers:
- The shipping cost of one unit between destination and the origin point
- The point of origin and also the capacity or supply per period at each
- The demand per period and the points f the destination at each
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