Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
A lagrangean heuristic for the two-stage modular capacitated facility location problem
Download
index.pdf
Date
2008
Author
Sevinç, Selim
Metadata
Show full item record
Item Usage Stats
270
views
104
downloads
Cite This
In this study, a Lagrangean heuristic based on Lagrangean relaxation and subgradient optimization is proposed for the two-stage modular capacitated facility location problem. The objective is to minimize the cost of locating and operating plants and warehouses, plus the cost of transporting goods at both echelons to satisfy the demand of customers. The difference of our study from the two-stage capacitated facility location problem is the existence of multiple capacity levels as a candidate for each plant in the problem. Each capacity level has a minimum production capacity which has to be satisfied to open the relevant capacity level. Obviously, a single capacity level can be selected for an opened facility location. In the second echelon, the warehouses are capacitated and have unique fixed and variable costs for opening and operating. Multiple sourcing is allowed in both transportation echelons. Firstly, we develop a mixed integer linear programming model for the two-stage modular capacitated facility location problem. Then we develop a Lagrangean heuristic to solve the problem efficiently. Our Lagrangean heuristic consists of three main components: Lagrangean relaxation, subgradient optimization and a primal heuristic. Lagrangean relaxation is employed for obtaining the lower bound, subgradient optimization is used for updating the Lagrange multipliers at each iteration, and finally a three-stage primal heuristic is created for generating the upper bound solutions. At the first stage of the upper bound heuristic, global feasibility of the plants and warehouses is inspected and a greedy heuristic is executed, if there is a global infeasibility. At the next stage, an allocation heuristic is used to assign customers to warehouses and warehouses to plants sequentially. At the final stage of the upper bound heuristic, local feasibilities of the plants are investigated and infeasible capacity levels are adjusted if necessary. In order to show the efficiency of the developed heuristic, we have tested our heuristic on 280 problem instances generated randomly but systematically. The results of the experiments show that the developed heuristic is efficient and effective in terms of solution quality and computational effort especially for large instances.
Subject Keywords
Industrial engineering.
URI
http://etd.lib.metu.edu.tr/upload/3/12609534/index.pdf
https://hdl.handle.net/11511/18123
Collections
Graduate School of Natural and Applied Sciences, Thesis
Suggestions
OpenMETU
Core
A variable neighborhood search procedure for the combined location with partial coverage and selective traveling salesman problem
Rahim, Fatih; Sepil, Canan; Department of Industrial Engineering (2010)
In this study, a metaheuristic procedure, particularly a variable neighborhood search procedure, is proposed to solve the combined location and selective traveling salesman problem in glass recycling. The collection of used glass is done by a collecting vehicle that visits a number of predefined collection centers, like restaurants and hospitals that are going to be referred to as compulsory points. Meanwhile, it is desired to locate a predetermined number of bottle banks to residential areas. The aim is to...
Multiobjective hub location problem
Barutçuoğlu, Aras; Köksalan, Murat; Department of Industrial Engineering (2009)
In this study, we propose a two-phase solution approach for approximating the efficient frontier of a bicriteria hub location problem. We develop an evolutionary algorithm to locate the hubs on the network as the first phase. In the second phase, we develop a bounding procedure based on dominance relations and using the determined bounds, we solve the allocation subproblem for each located hub set. The two-phase approach is tested on the Australian Post data set and it is observed that our approach approxim...
Controlling high quality manufacturing processes: a robustness study of the lower-sided tbe ewma procedure
Pehlivan, Canan; Köksal, Gülser; Department of Industrial Engineering (2008)
In quality control applications, Time-Between-Events (TBE) type observations may be monitored by using Exponentially Weighted Moving Average (EWMA) control charts. A widely accepted model for the TBE processes is the exponential distribution, and hence TBE EWMA charts are designed under this assumption. Nevertheless, practical applications do not always conform to the theory and it is common that the observations do not fit the exponential model. Therefore, control charts that are robust to departures from ...
A closed-form approach for identification of dynamical contact parameters in spindle-holder-tool assemblies
Özşahin, Orkun; Özgüven, Hasan Nevzat (Elsevier BV, 2009-01-01)
Accurate identification of contact dynamics is very crucial in predicting the dynamic behavior and chatter stability of spindle-tool assemblies in machining centers. it is well known that the stability lobe diagrams used for predicting regenerative chatter vibrations can be obtained from the tool point frequency response function (FRF) of the system. As previously shown by the authors, contact dynamics at the spindle-holder and holder-tool interfaces as well as the dynamics of bearings affect the tool point...
The general lot sizing and scheduling problem with sequence dependent changeovers
Koçlar, Ayşe; Süral, Haldun; Department of Industrial Engineering (2005)
In this study, we consider the General Lot Sizing and Scheduling Problem in single level capacitated environments with sequence dependent item changeovers. Process industries may be regarded as suitable application areas of the problem. The focus on capacity utilization and intensively time consuming changeovers necessitate the integration of lot sizing and sequencing decisions in the production plan. We present a mathematical model which captures the essence of cases in the most generic and realistic setti...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
S. Sevinç, “A lagrangean heuristic for the two-stage modular capacitated facility location problem,” M.S. - Master of Science, Middle East Technical University, 2008.