UDC 658.012.011.56.621 © Nikolai Kazakov LOGISTIC DESIGN OF PRODUCTION LINES AT MULTIDIMENTIONAL ARCHITECTURE OF LOGISTICAL AND TECHNOLOGICAL MACHINES A logistics design of production lines is proposed, taking into account multidimensional architecture of logistical and technological machines. <...> An optimization model is implemented using the coefficient of volumetric efficiency and is solved using the software package "Matlab". <...> INTRODUCTION It is known [1] that parts move one at a time or in a batch and that one technological chain may have the same or different number of technological machines for each operation. <...> A number of studies [2, 8, 9, 10] consider the design of technological chains. <...> Fine [15] in 1998 established an architecture of the three areas: product, process and supply and coined the term "three-dimensional concurrent engineering". <...> The work [14] should be noted, which considers the effect of the characteristics of the product within the three-dimensional simultaneous design. <...> The aim of this work is to perform a logistical design of production lines, taking into account multidimensional architecture of logistical and technological machines and getting minimum overall expenses. <...> This work is considered a technological chain with the same number of tech machines (one) of each operation and the different number of logistical machines with circular and linear organization. <...> THE FORM OF THE OBJECTIVE FUNCTION The following data is given: chines), i =1, 2, …, m; m 2, located in the same production unit (section, department, etc.), which forms the m number of parallel lines or circles (contours); there is a single machine deployed at the beginning of each line (contour); these objects are pre-defined technological machines that are available depending on the specific production requirements; – plant-size (section-size), in which the problem is – Pi (ai , bi ) – existing objects (technological masolved; – p – new objects (technological machines); – Qij parallel lines or contours i =1, 2, …, m; m 2; n of those have transport and technological inter-connection and form a single line (p = mn-m); –the m-number of these lines are situated in parallel depending on the type of process chain, it is the relative cost of part transportation between j-1 and j th machine for MHM with (xij, yij ), j = 2, 3, …, n; n > 2, are <...>