Transportation problem is a particular class of linear programming, which is associated with day-to-day activities in our real life and mainly deals with logistics. It helps in solving problems on distribution and transportation of resources from one place to another. The goods are transported from a set of sources (e.g., factory) to a set of destinations (e.g., warehouse) to meet the specific requirements. In other words, transportation problems deal with the transportation of a single product manufactured at different plants (supply origins) to a number of different warehouses (demand destinations). The objective is to satisfy the demand at destinations from the supply constraints at the minimum transportation cost possible. To achieve this objective, we must know the quantity of available supplies and the quantities demanded. In addition, we must also know the location, to find the cost of transporting one unit of commodity from the place of origin to the Continue reading
Management Science
Transportation and Assignment Models in Operations Research
Transportation and assignment models are special purpose algorithms of the linear programming. The simplex method of Linear Programming Problems(LPP) proves to be inefficient is certain situations like determining optimum assignment of jobs to persons, supply of materials from several supply points to several destinations and the like. More effective solution models have been evolved and these are called assignment and transportation models. The transportation model is concerned with selecting the routes between supply and demand points in order to minimize costs of transportation subject to constraints of supply at any supply point and demand at any demand point. Assume a company has 4 manufacturing plants with different capacity levels, and 5 regional distribution centres. 4 x 5 = 20 routes are possible. Given the transportation costs per load of each of 20 routes between the manufacturing (supply) plants and the regional distribution (demand) centres, Continue reading
Introduction to Decision Models
A decision model is an idealized representation of the problem. Decision model refers to structured presentation of the problem, solution there to and stimulation of working of the solution. The model’s purpose is to enable the decision analyst to forecast the effect of factors crucial to the solution of the problem. Types of Models There are different types of models. Ionic and Symbolic models are the prime two types. Ionic Models are concretized. It is a physical representation of any real life object on a different scale. Think of a prototype of a plane/car/machine/globe/idol and so on. Symbolic models re abstract models. A cost curve, a supply curve, marginal revenue curve, a production possibility curve, etc., is a symbolic model. A forecast profit and lost account is also a symbolic model. The statement symbolizes summary of financial effects of commercial activities planned over the next Continue reading