Extension of Model Functionalities for Multi-echelon Distribution Systems Through the Introduction of Logical Constraints

Abstract

Multi-echelon distribution systems are quite common in supply-chain and city logistic systems. The paper presents a concept of extending functionality of the multi-distribution models by introduction logical constraints. This is possible by using a hybrid approach to modeling and optimization the multi-echelon problems. In the hybrid approach, two environments of mathematical programming (MP) and constraint logic programming (CLP) were integrated. Logical constraints are associated with the transformation of the problem made by the CLP. The Two-Echelon Capacitated Vehicle Routing Problem (2E-CVRP) has been proposed as an illustrative example. The logical constraints on routes, cities etc. were introduced to the standard 2E-CVRP model. The presented approach will be compared with classical mathematical programming on the same data sets (known benchmarks).