Acta academica karviniensia 2018, 18(3):41-49 | DOI: 10.25142/aak.2018.019

MODIFIED STEINER-WEBER PROBLEM WITH ADDITIONAL RESTRICTIVE CONDITIONS

Josef Košťálek¹, Pavla Koťátková Stránská²

¹ CTU in Prague, Faculty of Mechanical Engineering, Karlovo náměstí 13, 121 35 Prague 2

² CTU in Prague, The Masaryk Institute of Advanced Studies, Kolejní 2637/2a, 160 00 Prague 6

Smartcities are, among other things, well-known for solving optimization problems. One of the problems could be an optimal location of a central warehouse, which supplies branches. The branches are not the same; they naturally have a different location and a volume of traffic. The central warehouse must be situated in the area within the optimal distance that allows for minimal transportation costs. It can happen that the optimal solution to the abovementioned problem lies in a prohibited area such as forests, military areas. This paper deals with the problem of an optimal location of the central warehouse that must not lie in the prohibited area. The aim of the article is to present a mathematical model based on nonlinear principle, which can offer a solution to the mentioned problem. The main principle in modelling is to create a user-friendly and affordable model and to find an optimal solution to a particular situation. Such a model must take into consideration the dynamic development of logistics, construction of distribution warehouses and the chain stores nearby. The model gives results for the first phase of the planning optimal positioning. The mathematical solution must be implemented into a realistic situation. The actual location of the central warehouse must be adapted to, for example the reach of the highway.

Keywords: central point, localization, mathematical model, minimization transportation costs, optimal solution, restrictive conditions, warehouse

JEL classification: C44, C61, O18, R59

Received: June 7, 2018; Revised: June 30, 2018; Accepted: September 19, 2018; Published: September 30, 2018  Show citation