Multi-level bottleneck assignment problems: Complexity and sparsity
This problem is known as the multi-level bottleneck assignment problem (MBAP). The MBAP with m = 2 is a special case of the classical bottleneck assignment problem and belongs to a class of high dimensional (axial) generalization of the well-known assignment problem, see Burkard et al. (2009). Therefore, MBAP is a hypergraph version of ...
The Multi-level Bottleneck Assignment Problem: Complexity and Solution
We study the multi-level bottleneck assignment problem (MBA), which has important applications in scheduling and quantitative finance. Given a weight matrix, the task is to rearrange entries in each column such that the maximum sum of values in each row is as small as possible. We analyze the complexity of this problem in a generalized setting ...
PDF The Multi-level Bottleneck Assignment Problem: Complexity and Solution
This problem is known as the multi-level bottleneck assignment problem (MBA). It is often seen through the lens of column permutation in a matrix (under constraints), such that the maximum row sum is minimized. For the sake of clarity, since we discuss col-umn generation based algorithms in Section 3, we stick to the convention of sets and
Multi-level bottleneck assignment problems: : Complexity and sparsity
We study the multi-level bottleneck assignment problem: given a weight matrix, the task is to rearrange entries in each column such that the maximum sum of values in each row is as small as possible. We analyze the complexity of this problem in a generalized setting, where a graph models restrictions how values in columns can be permuted. ...
[PDF] The Multi-level Bottleneck Assignment Problem: Complexity and
It is shown that it is possible to outperform the standard greedy approach by around 10% on random instances, and a lower bound on its approximability is presented by giving a non-trivial gap reduction from three-dimensional matching to MBA. We study the multi-level bottleneck assignment problem (MBA), which has important applications in scheduling and quantitative finance.
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We study the multi-level bottleneck assignment problem (MBA), which has important applications in scheduling and quantitative finance. Given a weight matrix, the task is to rearrange entries in each column such that the maximum sum of values in each row is as small as possible. We analyze the complexity of this problem in a generalized setting ...
Approximating the multi-level bottleneck assignment problem
We consider the multi-level bottleneck assignment problem (MBA). This problem is described in the recent book "Assignment Problems" by Burkard et al. (2009) on pages 188-189, where its complexity status is called open. We view the problem as a special case of a bottleneck m -dimensional multi-index assignment problem and settle its ...
PDF On the Approximability of Multi-level Bottleneck Assignment Problem
above is known as the multi-level bottleneck assignment problem (MBA-m). Literature review and motivation The multi-level bottleneck assignment problem (MBA) was rst introduced and studied by Carraresi and Gallo [2], motivated by an application in bus driver scheduling. Special cases of the problem have been studied even before [2]. A
Approximating the multi-level bottleneck assignment problem
This problem is known as the multi-level bottleneck assignment problem (MBA); obviously, for m = 2 a (special case of the) bottleneck assignment problem arises. It was introduced by Carraresi and Gallo [5], motivated by an application in bus driver scheduling. In the context of this application, a set V i corresponds to the shifts that need to ...
The Multi-level Bottleneck Assignment Problem ...
This problem is formulated as a Multi-level Bottleneck Assignment Problem (MBA). The MBA problem is studied: it is shown that it is NP-complete and an asymptotically optimal algorithm is presented.
Multi-level bottleneck assignment problems: Complexity and sparsity
DOI: 10.1016/j.cor.2023.106213 Corpus ID: 257456735; Multi-level bottleneck assignment problems: Complexity and sparsity-exploiting formulations @article{Dokka2023MultilevelBA, title={Multi-level bottleneck assignment problems: Complexity and sparsity-exploiting formulations}, author={Trivikram Dokka and Marc Goerigk}, journal={Comput.
Multi-level bottleneck assignment problems: Complexity and sparsity
This problem is formulated as a Multi-level Bottleneck Assignment Problem (MBA). The MBA problem is studied: it is shown that it is NP-complete and an asymptotically optimal algorithm is presented.
The Multi-level Bottleneck Assignment Problem: Complexity and ...
We study the multi-level bottleneck assignment problem (MBA), which has important applications in scheduling and quantitative finance. Given a weight matrix, the task is to rearrange entries in each column such that the maximum sum of values in each row is as small as possible. We analyze the complexity of this problem in a generalized setting ...
Approximating the Multi-level Bottleneck Assignment Problem
We consider the multi-level bottleneck assignment problem (MBA). This problem is described in the recent book "Assignment Problems" by Burkard et al. (2009) on pages 188 - 189. One of the applications described there concerns bus driver scheduling. We view the problem as a special case of a bottleneck m -dimensional multi-index assignment ...
Approximating the Multi-Level Bottleneck Assignment Problem
We consider the multi-level bottleneck assignment problem (MBA). This problem is described in the recent book/Assignment 'Problems' by Burkard et al. (2009) on pages 188-189. One of the applications described there concerns bus driver scheduling.We view the problem as a special case of a bottleneck m-dimensional multi-index assignment problem.
Approximating the multi-level bottleneck assignment problem
This problem is known as the multi-level bottleneck assignment problem (MBA); obviously, for m = 2 a (special case of the) bottleneck assignment problem arises. It was introduced by Carraresi and Gallo [6], motivated by an application in bus driver scheduling.
Approximating the Multi-level Bottleneck Assignment Problem
Approximating the Multi-level Bottleneck Assignment Problem Trivikram Dokka1 Anastasia Kouvela2 1 2 Frits Spieksma 1 ORSTAT, KULeuven Operational Research Group, London School of Economics February 27, 2012 Trivikram Dokka, Anastasia Kouvela, Frits Spieksma (ORSTAT, Approximating KULeuven, the Multi-level Operational Bottleneck Research ...
Approximating the Multi-level Bottleneck Assignment Problem
This problem is formulated as a Multi-level Bottleneck Assignment Problem (MBA). The MBA problem is studied: it is shown that it is NP-complete and an asymptotically optimal algorithm is presented.
Approximating the multi-level bottleneck assignment problem
title = "Approximating the multi-level bottleneck assignment problem", abstract = "We consider the multi-level bottleneck assignment problem (MBA). This problem is described in the recent book "Assignment Problems" by Burkard et al. (2009) on pages 188-189, where its complexity status is called open. We view the problem as a special case ...
Approximating the multi-level bottleneck assignment problem
We consider the multi-level bottleneck assignment problem (MBA). This problem is described in the recent book "Assignment Problems" by Burkard et al. (2009) on pages 188 - 189. One of the applications described there concerns bus driver scheduling. We view the problem as a special case of a bottleneck m-dimensional multi-index assignment problem.
Approximating the multi-level bottleneck assignment problem
We consider the multi-level bottleneck assignment problem (MBA). This problem is described in the recent book "Assignment Problems" by Burkard et al. (2009) on pages 188-189, where its complexity status is called open. We view the problem as a special case of a bottleneck m-dimensional multi-index assignment problem and settle its complexity status.
A multi-level bottleneck assignment approach to the bus drivers
This work views the multi-level bottleneck assignment problem (MBA) as a special case of a bottleneck m-dimensional multi-index assignment problem, and gives approximation algorithms and inapproximability results, depending upon the completeness of the underlying graph. Expand. 20.
A multi-level bottleneck assignment approach to the bus drivers
This problem is formulated as a Multi-level Bottleneck Assignment Problem (MBA). The MBA problem is studied: it is shown that it is NP-complete and an asymptotically optimal algorithm is presented. Some computational results are illustrated which prove the efficiency of the algorithm. 163 A multi-level bottleneck assignment approach to the bus ...
A Comprehensive Review of Theories, Methods, and Techniques for ...
For the identification of single and multiple bottleneck problems, the bottleneck identification is transformed into a state feedback control problem based on a control theory approach. ... Pegels and Watrous defined a unit that fails to achieve the expected output level as a bottleneck and studied the performance of systems by analyzing ...
The Memory Wall: Past, Present, and Future of DRAM
DRAM can make up half the cost of a non-AI server system. Yet for the past 10 years it has been the slowest to scale of all major logic and memory. 16Gb DRAM chips were first made available in high volume 8 years ago but are still the most common today; when introduced they cost around $3 per gigabyte and peaked at nearly $5 before falling back to the $3 range in the past 12 months.
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This problem is known as the multi-level bottleneck assignment problem (MBAP). The MBAP with m = 2 is a special case of the classical bottleneck assignment problem and belongs to a class of high dimensional (axial) generalization of the well-known assignment problem, see Burkard et al. (2009). Therefore, MBAP is a hypergraph version of ...
We study the multi-level bottleneck assignment problem (MBA), which has important applications in scheduling and quantitative finance. Given a weight matrix, the task is to rearrange entries in each column such that the maximum sum of values in each row is as small as possible. We analyze the complexity of this problem in a generalized setting ...
This problem is known as the multi-level bottleneck assignment problem (MBA). It is often seen through the lens of column permutation in a matrix (under constraints), such that the maximum row sum is minimized. For the sake of clarity, since we discuss col-umn generation based algorithms in Section 3, we stick to the convention of sets and
We study the multi-level bottleneck assignment problem: given a weight matrix, the task is to rearrange entries in each column such that the maximum sum of values in each row is as small as possible. We analyze the complexity of this problem in a generalized setting, where a graph models restrictions how values in columns can be permuted. ...
It is shown that it is possible to outperform the standard greedy approach by around 10% on random instances, and a lower bound on its approximability is presented by giving a non-trivial gap reduction from three-dimensional matching to MBA. We study the multi-level bottleneck assignment problem (MBA), which has important applications in scheduling and quantitative finance.
We study the multi-level bottleneck assignment problem (MBA), which has important applications in scheduling and quantitative finance. Given a weight matrix, the task is to rearrange entries in each column such that the maximum sum of values in each row is as small as possible. We analyze the complexity of this problem in a generalized setting ...
We consider the multi-level bottleneck assignment problem (MBA). This problem is described in the recent book "Assignment Problems" by Burkard et al. (2009) on pages 188-189, where its complexity status is called open. We view the problem as a special case of a bottleneck m -dimensional multi-index assignment problem and settle its ...
above is known as the multi-level bottleneck assignment problem (MBA-m). Literature review and motivation The multi-level bottleneck assignment problem (MBA) was rst introduced and studied by Carraresi and Gallo [2], motivated by an application in bus driver scheduling. Special cases of the problem have been studied even before [2]. A
This problem is known as the multi-level bottleneck assignment problem (MBA); obviously, for m = 2 a (special case of the) bottleneck assignment problem arises. It was introduced by Carraresi and Gallo [5], motivated by an application in bus driver scheduling. In the context of this application, a set V i corresponds to the shifts that need to ...
This problem is formulated as a Multi-level Bottleneck Assignment Problem (MBA). The MBA problem is studied: it is shown that it is NP-complete and an asymptotically optimal algorithm is presented.
DOI: 10.1016/j.cor.2023.106213 Corpus ID: 257456735; Multi-level bottleneck assignment problems: Complexity and sparsity-exploiting formulations @article{Dokka2023MultilevelBA, title={Multi-level bottleneck assignment problems: Complexity and sparsity-exploiting formulations}, author={Trivikram Dokka and Marc Goerigk}, journal={Comput.
This problem is formulated as a Multi-level Bottleneck Assignment Problem (MBA). The MBA problem is studied: it is shown that it is NP-complete and an asymptotically optimal algorithm is presented.
We study the multi-level bottleneck assignment problem (MBA), which has important applications in scheduling and quantitative finance. Given a weight matrix, the task is to rearrange entries in each column such that the maximum sum of values in each row is as small as possible. We analyze the complexity of this problem in a generalized setting ...
We consider the multi-level bottleneck assignment problem (MBA). This problem is described in the recent book "Assignment Problems" by Burkard et al. (2009) on pages 188 - 189. One of the applications described there concerns bus driver scheduling. We view the problem as a special case of a bottleneck m -dimensional multi-index assignment ...
We consider the multi-level bottleneck assignment problem (MBA). This problem is described in the recent book/Assignment 'Problems' by Burkard et al. (2009) on pages 188-189. One of the applications described there concerns bus driver scheduling.We view the problem as a special case of a bottleneck m-dimensional multi-index assignment problem.
This problem is known as the multi-level bottleneck assignment problem (MBA); obviously, for m = 2 a (special case of the) bottleneck assignment problem arises. It was introduced by Carraresi and Gallo [6], motivated by an application in bus driver scheduling.
Approximating the Multi-level Bottleneck Assignment Problem Trivikram Dokka1 Anastasia Kouvela2 1 2 Frits Spieksma 1 ORSTAT, KULeuven Operational Research Group, London School of Economics February 27, 2012 Trivikram Dokka, Anastasia Kouvela, Frits Spieksma (ORSTAT, Approximating KULeuven, the Multi-level Operational Bottleneck Research ...
This problem is formulated as a Multi-level Bottleneck Assignment Problem (MBA). The MBA problem is studied: it is shown that it is NP-complete and an asymptotically optimal algorithm is presented.
title = "Approximating the multi-level bottleneck assignment problem", abstract = "We consider the multi-level bottleneck assignment problem (MBA). This problem is described in the recent book "Assignment Problems" by Burkard et al. (2009) on pages 188-189, where its complexity status is called open. We view the problem as a special case ...
We consider the multi-level bottleneck assignment problem (MBA). This problem is described in the recent book "Assignment Problems" by Burkard et al. (2009) on pages 188 - 189. One of the applications described there concerns bus driver scheduling. We view the problem as a special case of a bottleneck m-dimensional multi-index assignment problem.
We consider the multi-level bottleneck assignment problem (MBA). This problem is described in the recent book "Assignment Problems" by Burkard et al. (2009) on pages 188-189, where its complexity status is called open. We view the problem as a special case of a bottleneck m-dimensional multi-index assignment problem and settle its complexity status.
This work views the multi-level bottleneck assignment problem (MBA) as a special case of a bottleneck m-dimensional multi-index assignment problem, and gives approximation algorithms and inapproximability results, depending upon the completeness of the underlying graph. Expand. 20.
This problem is formulated as a Multi-level Bottleneck Assignment Problem (MBA). The MBA problem is studied: it is shown that it is NP-complete and an asymptotically optimal algorithm is presented. Some computational results are illustrated which prove the efficiency of the algorithm. 163 A multi-level bottleneck assignment approach to the bus ...
For the identification of single and multiple bottleneck problems, the bottleneck identification is transformed into a state feedback control problem based on a control theory approach. ... Pegels and Watrous defined a unit that fails to achieve the expected output level as a bottleneck and studied the performance of systems by analyzing ...
DRAM can make up half the cost of a non-AI server system. Yet for the past 10 years it has been the slowest to scale of all major logic and memory. 16Gb DRAM chips were first made available in high volume 8 years ago but are still the most common today; when introduced they cost around $3 per gigabyte and peaked at nearly $5 before falling back to the $3 range in the past 12 months.