An efficient adaptive large neighborhood search ...
The assignment problem, with applications in supply chains, healthcare logistics, and production scheduling, represents a prominent optimization challenge. This paper focuses on addressing the Generalized Quadratic Assignment Problem (GQAP), a well-known NP-hard combinatorial optimization problem. To tackle the GQAP, we propose an OR analytical ...
PDF The Generalized Assignment Problem and Its Generalizations
generalized by Yagiura et al. [15] to make them applicable to wider range of problems. They consider the multi-resource generalized quadratic assignment problem (MR-GQAP), which is a natural generalization of the generalized quadratic assignment problem (GQAP) [1, 5] and MRGAP.
Metaheuristics for the Generalized Quadratic Assignment Problem
The generalized quadratic assignment problem (GQAP) is the task of assigning a set of facilities to a set of locations such that the sum of the assignment and transportation costs is minimized. The facilities may have different space requirements, and the locations may have varying space capacities. ...
PDF THE GENERALIZED QUADRATIC ASSIGNMENT PROBLEM
generalized quadratic assignment problem (GQAP) and show that this relaxation increases the complexity of the problem dramatically. We propose three lineariza- tion approaches and a branch and bound algorithm to optimally solve the GQAP. Computational studies have been conducted to demonstrate the performance of the ...
(PDF) The generalized quadratic assignment problem
We study a generalization of the quadratic assignment problem (QAP) by allow-ing multiple equipments to be assigned at a single location as long as resources at the location permit. This problem ...
The Quadratic Assignment Problem
The Generalized Quadratic Assignment problem (GQAP) was introduced by Lee and Ma . In this formulation the number of facilities is not necessarily equal to the number of sites. Each site has a limited capacity to accommodate facilities. The GQAP reduces to the standard QAP when the number of facilities is equal to the number of sites, and the ...
An efficient adaptive large neighborhood search algorithm based on
The assignment problem, with applications in supply chains, healthcare logistics, and production scheduling, represents a prominent optimization challenge. This paper focuses on addressing the Generalized Quadratic Assignment Problem (GQAP), a well-known NP-hard combinatorial optimization problem. To tackle the GQAP, we propose an OR analytical ...
An efficient adaptive large neighborhood search ...
Section snippets Background. This study proposes a set of Operations Research (OR) analytics for the Generalized Quadratic Assignment Problem (GQAP) which is a well-defined strong NP-hard combinatorial optimization problem (Lee and Ma, 2004). The GQAP addresses the critical task of allocating n equipment units to m production centers or locations, which has direct implications for various real ...
A Tabu Search Matheuristic for the Generalized Quadratic Assignment Problem
The problem of interest is the so-called Generalized Quadratic Assignment Problem (GQAP). The GQAP has been used as a model for several relevant actual applications, including order picking and storage layout in warehouse management, relational database design or scheduling activities in semiconductor wafer processing.
An algorithm for the generalized quadratic assignment problem
This paper reports on a new algorithm for the Generalized Quadratic Assignment problem (GQAP). The GQAP describes a broad class of quadratic integer programming problems, wherein M pair-wise related entities are assigned to N destinations constrained by the destinations' ability to accommodate them. This new algorithm is based on a Reformulation Linearization Technique (RLT) dual ascent ...
A tabu search heuristic for a generalized quadratic assignment problem
The generalized quadratic assignment problem (GQAP) is the task of assigning a set of facilities to a set of locations such that the sum of the assignment and transportation costs is minimized. The facilities may have different space requirements, and the locations may have varying space capacities. Also, multiple facilities may be assigned to each location such that space capacity is not ...
A Tabu Search Heuristic for a Generalized Quadratic Assignment Problem
The generalized quadratic assignment problem (GQAP) is the task of assigning a set of facilities to a set of locations such that the sum of the assignment and transportation costs is minimized. The facilities may have diferent space requirements, and the locations may have varying space capacities.
Algorithm selection on generalized quadratic assignment problem
Artur Alves Pessoa, Peter M. Hahn, Monique Guignard, and Yi-Rong Zhu. 2010. Algorithms for the generalized quadratic assignment problem combining Lagrangean decomposition and the Reformulation-Linearization Technique. European Journal of Operational Research 206, 1 (2010), 54--63. Google Scholar Cross Ref; Erik Pitzer and Michael Affenzeller. 2012.
A Memetic Heuristic for the Generalized Quadratic Assignment Problem
In the generalized quadratic assignment problem (GQAP) we are given n weighted facilities, m capacitated sites, a traffic intensity matrix between facilities, a distance matrix between sites, unit traffic costs, and assignment costs of facilities to sites. The aim is to determine an assignment of facilities to sites so that the sum of assignment and traffic costs is minimized and the total ...
An algorithm for the generalized quadratic assignment problem
Experimental results show that the runtime of this algorithm is as good or better than other known exact solution methods for problems as large as M=20 and N=15. Abstract This paper reports on a new algorithm for the Generalized Quadratic Assignment problem (GQAP). The GQAP describes a broad class of quadratic integer programming problems, wherein M pair-wise related entities are assigned to N ...
Quadratic assignment problem
The Quadratic Assignment Problem (QAP), discovered by Koopmans and Beckmann in 1957, is a mathematical optimization module created to describe the location of invisible economic activities. An NP-Complete problem, this model can be applied to many other optimization problems outside of the field of economics. It has been used to optimize ...
The Generalized Quadratic Assignment Problem
The Generalized Quadratic Assignment Problem. This work proposes three linearization approaches and a branch and bound algorithm to optimally solve the generalized quadratic assignment problem (GQAP), which arises in many real world applications such as facility location problem and logistics network design. Expand.
PDF A Tabu Search Matheuristic for the Generalized Quadratic Assignment Problem
1 Introduction. The problem of interest is the so-called Generalized Quadratic Assignment Prob-lem (GQAP). The GQAP has been used as a model for several relevant actual applications, including order picking and storage layout in warehouse man-agement, relational database design or scheduling activities in semiconductor wafer processing.
PDF The Generalized Quadratic Assignment Problem
The Generalized Quadratic Assignment Problem Chi-Guhn Lee∗ , Zhong Ma Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, Ontario, M5S 3G8, Canada
[PDF] Generalized Assignment Problem
1999. TLDR. A heuristic algorithm based on VDS is proposed for the generalized assignment problem, which is one of the representative combinatorial optimization problems known to be NP-hard and includes an adaptive use of two different neighborhoods, shift and swap, within the sequence of neighborhood moves in VDS. Expand.
Algorithms for the generalized quadratic assignment problem combining
The generalized quadratic assignment problem (GQAP) studies a class of problems that optimally assign M facilities to N locations subject to the resource limitation at each location. These problems arise naturally in the yard management of container transshipment terminals (Cordeau et al., 2007), where each shipping company is to be assigned a ...
COMMENTS
The assignment problem, with applications in supply chains, healthcare logistics, and production scheduling, represents a prominent optimization challenge. This paper focuses on addressing the Generalized Quadratic Assignment Problem (GQAP), a well-known NP-hard combinatorial optimization problem. To tackle the GQAP, we propose an OR analytical ...
generalized by Yagiura et al. [15] to make them applicable to wider range of problems. They consider the multi-resource generalized quadratic assignment problem (MR-GQAP), which is a natural generalization of the generalized quadratic assignment problem (GQAP) [1, 5] and MRGAP.
The generalized quadratic assignment problem (GQAP) is the task of assigning a set of facilities to a set of locations such that the sum of the assignment and transportation costs is minimized. The facilities may have different space requirements, and the locations may have varying space capacities. ...
generalized quadratic assignment problem (GQAP) and show that this relaxation increases the complexity of the problem dramatically. We propose three lineariza- tion approaches and a branch and bound algorithm to optimally solve the GQAP. Computational studies have been conducted to demonstrate the performance of the ...
We study a generalization of the quadratic assignment problem (QAP) by allow-ing multiple equipments to be assigned at a single location as long as resources at the location permit. This problem ...
The Generalized Quadratic Assignment problem (GQAP) was introduced by Lee and Ma . In this formulation the number of facilities is not necessarily equal to the number of sites. Each site has a limited capacity to accommodate facilities. The GQAP reduces to the standard QAP when the number of facilities is equal to the number of sites, and the ...
The assignment problem, with applications in supply chains, healthcare logistics, and production scheduling, represents a prominent optimization challenge. This paper focuses on addressing the Generalized Quadratic Assignment Problem (GQAP), a well-known NP-hard combinatorial optimization problem. To tackle the GQAP, we propose an OR analytical ...
Section snippets Background. This study proposes a set of Operations Research (OR) analytics for the Generalized Quadratic Assignment Problem (GQAP) which is a well-defined strong NP-hard combinatorial optimization problem (Lee and Ma, 2004). The GQAP addresses the critical task of allocating n equipment units to m production centers or locations, which has direct implications for various real ...
The problem of interest is the so-called Generalized Quadratic Assignment Problem (GQAP). The GQAP has been used as a model for several relevant actual applications, including order picking and storage layout in warehouse management, relational database design or scheduling activities in semiconductor wafer processing.
This paper reports on a new algorithm for the Generalized Quadratic Assignment problem (GQAP). The GQAP describes a broad class of quadratic integer programming problems, wherein M pair-wise related entities are assigned to N destinations constrained by the destinations' ability to accommodate them. This new algorithm is based on a Reformulation Linearization Technique (RLT) dual ascent ...
The generalized quadratic assignment problem (GQAP) is the task of assigning a set of facilities to a set of locations such that the sum of the assignment and transportation costs is minimized. The facilities may have different space requirements, and the locations may have varying space capacities. Also, multiple facilities may be assigned to each location such that space capacity is not ...
The generalized quadratic assignment problem (GQAP) is the task of assigning a set of facilities to a set of locations such that the sum of the assignment and transportation costs is minimized. The facilities may have diferent space requirements, and the locations may have varying space capacities.
Artur Alves Pessoa, Peter M. Hahn, Monique Guignard, and Yi-Rong Zhu. 2010. Algorithms for the generalized quadratic assignment problem combining Lagrangean decomposition and the Reformulation-Linearization Technique. European Journal of Operational Research 206, 1 (2010), 54--63. Google Scholar Cross Ref; Erik Pitzer and Michael Affenzeller. 2012.
In the generalized quadratic assignment problem (GQAP) we are given n weighted facilities, m capacitated sites, a traffic intensity matrix between facilities, a distance matrix between sites, unit traffic costs, and assignment costs of facilities to sites. The aim is to determine an assignment of facilities to sites so that the sum of assignment and traffic costs is minimized and the total ...
Experimental results show that the runtime of this algorithm is as good or better than other known exact solution methods for problems as large as M=20 and N=15. Abstract This paper reports on a new algorithm for the Generalized Quadratic Assignment problem (GQAP). The GQAP describes a broad class of quadratic integer programming problems, wherein M pair-wise related entities are assigned to N ...
The Quadratic Assignment Problem (QAP), discovered by Koopmans and Beckmann in 1957, is a mathematical optimization module created to describe the location of invisible economic activities. An NP-Complete problem, this model can be applied to many other optimization problems outside of the field of economics. It has been used to optimize ...
The Generalized Quadratic Assignment Problem. This work proposes three linearization approaches and a branch and bound algorithm to optimally solve the generalized quadratic assignment problem (GQAP), which arises in many real world applications such as facility location problem and logistics network design. Expand.
1 Introduction. The problem of interest is the so-called Generalized Quadratic Assignment Prob-lem (GQAP). The GQAP has been used as a model for several relevant actual applications, including order picking and storage layout in warehouse man-agement, relational database design or scheduling activities in semiconductor wafer processing.
The Generalized Quadratic Assignment Problem Chi-Guhn Lee∗ , Zhong Ma Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, Ontario, M5S 3G8, Canada
1999. TLDR. A heuristic algorithm based on VDS is proposed for the generalized assignment problem, which is one of the representative combinatorial optimization problems known to be NP-hard and includes an adaptive use of two different neighborhoods, shift and swap, within the sequence of neighborhood moves in VDS. Expand.
The generalized quadratic assignment problem (GQAP) studies a class of problems that optimally assign M facilities to N locations subject to the resource limitation at each location. These problems arise naturally in the yard management of container transshipment terminals (Cordeau et al., 2007), where each shipping company is to be assigned a ...