A Preprocessing Procedure for Fixing the Binary variables in the Capacitated Facility Location Problem through Pairing and Surrogate Constraint Analysis
نویسندگان
چکیده
The Osorio and Glover (2003) use of dual surrogate analysis is exploited to fix variables in capacitated facility location problems (CFLP). The surrogate constraint is obtained by weighting the original problem constraints by their associated dual values in the LP relaxation. A known solution is used to convert the objective function in a constraint that forces the solution to be less or equal to it. The surrogate constraint is paired with the objective function to obtain a combined constraint where negative variables are replaced by complemented variables and the resulting constraint used to fix binary variables in the model.
منابع مشابه
A Simulated Annealing Algorithm within the Variable Neighbourhood Search Framework to Solve the Capacitated Facility Location-Allocation Problem
In this study, we discuss the capacitated facility location-allocation problem with uncertain parameters in which the uncertainty is characterized by given finite numbers of scenarios. In this model, the objective function minimizes the total expected costs of transportation and opening facilities subject to the robustness constraint. To tackle the problem efficiently and effectively, an effici...
متن کاملHeuristic Methods Based on MINLP Formulation for Reliable Capacitated Facility Location Problems
This paper addresses a reliable facility location problem with considering facility capacity constraints. In reliable facility location problem some facilities may become unavailable from time to time. If a facility fails, its clients should refer to other facilities by paying the cost of retransfer to these facilities. Hence, the fail of facilities leads to disruptions in facility location dec...
متن کاملSolving a bi-objective mathematical model for location-routing problem with time windows in multi-echelon reverse logistics using metaheuristic procedure
During the last decade, the stringent pressures from environmental and social requirements have spurred an interest in designing a reverse logistics (RL) network. The success of a logistics system may depend on the decisions of the facilities locations and vehicle routings. The location-routing problem (LRP) simultaneously locates the facilities and designs the travel routes for vehicles among ...
متن کاملA Nonlinear Model for a Capacitated Location-allocation Problem with Bernoulli Demand using Sub-sources
This study presents a capacitated multi-facility location-allocation problem with stochastic demands based on a well-known distribution function. In this discrete environment, besides the capacitated facilities, we can employee the capacitated sub-source of each facility for satisfying demands of customers. The objective function is to find the optimal locations of facilities among a finite num...
متن کاملUsing Greedy Clustering Method to Solve Capacitated Location-Routing Problem with Fuzzy Demands
Using Greedy Clustering Method to Solve Capacitated Location-Routing Problem with Fuzzy Demands Abstract In this paper, the capacitated location routing problem with fuzzy demands (CLRP_FD) is considered. In CLRP_FD, facility location problem (FLP) and vehicle routing problem (VRP) are observed simultaneously. Indeed the vehicles and the depots have a predefined capacity to serve the customerst...
متن کامل