Extended Linear Programming in Models of Location of Concrete Mix Production Plants

The paper discusses the location problem of production plants exemplified by concrete mix production plants (Ist model), taking into consideration the demand variability in time (IInd model), and the analytical method of the localization of industrial plant with a considerable amount of transportation costs of concrete mix and concrete aggregate (IIIrd model). Changes in demand for concrete mix in time t lead to changes in plants’ location. Assuming that there exist concrete mix production plants, one should make a simulation of demand for concrete mix which occurs at the time t The presented models are the essential generalisation of the problem discussed in the earlier papers. The matrix of construction costs must be always defined as a four‐dimensions vector (the set of four values): the production plant construction cost, the cost of plant's modernisation (which is the result of changing demand for concrete mix), the cost of liquidation (dismantling) of a production plant or the cost of moving of an existing production plant. Three new generalised notions concerning the classical linear programming (mixed programming, mixed programming with time and two‐optimised conjugate linear system) have been introduced. The algorithms describing the above‐mentioned models of location changes were suggested, and programmes solving the location problems were prepared in PASCAL.