In this thesis, we consider a multi-mode project scheduling problem with a single nonrenewable resource. We assume that the resource is released in pre-specified times at pre-specified quantities and the resource is c...
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In this thesis, we consider a multi-mode project scheduling problem with a single nonrenewable resource. We assume that the resource is released in pre-specified times at pre-specified quantities and the resource is consumed at activity completions. The activities can be processed at different modes where a mode is defined by a processing time and a resource requirement amount. Our problem is to select the modes and timings of the activities so as to minimize the project completion time. We develop a mixed integer linear model and present a branch and bound algorithm. The results of our experiments have revealed that the mathematical model can handle only small-sized problem instances with up to 20 tasks and branch and bound algorithm can solve problem instances with up to 100 tasks for some resource release profiles.
In operation research, the Multiple Knapsack Problem (MKP) is classified as a combinatorial optimization problem. It is a particular case of the Generalized Assignment Problem. The MKP has been applied to many applica...
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In operation research, the Multiple Knapsack Problem (MKP) is classified as a combinatorial optimization problem. It is a particular case of the Generalized Assignment Problem. The MKP has been applied to many applications in naval as well as financial management. There are several methods to solve the Knapsack Problem (KP) and Multiple Knapsack Problem (MKP); in particular the bound and boundalgorithm (B&B). The bound and bound method is a modification of the branch and bound algorithm which is defined as a particular tree-search technique for the integer linear programming. It has been used to obtain an optimal solution. In this research, we provide a new approach called the Adapted Transportation algorithm (ATA) to solve the KP and MKP. The solution results of these methods are presented in this thesis. The Adapted Transportation algorithm is applied to solve the Multiple Knapsack Problem where the unit profit of the items is dependent on the knapsack. In addition, we will show the link between the Multiple Knapsack Problem (MKP) and the multiple Assignment Problem (MAP). These results open a new field of research in order to solve KP and MKP by using the algorithms developed in transportation.
This research focuses on finding the best transfer schemes in metro networks. Using sample-based time-invariant link travel times to capture the uncertainty of a realistic network, a two-stage stochastic integer progr...
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This research focuses on finding the best transfer schemes in metro networks. Using sample-based time-invariant link travel times to capture the uncertainty of a realistic network, a two-stage stochastic integer programming model with the minimized expected travel time and penalty value incurred by transfer activities is formulated. The first stage aims to find a sequence of potential transfer nodes (stations) that can compose a feasible path from origins to destinations in the transfer activity network, and the second stage provides the least time paths passing by the generated transfer stations in the first stage for evaluating the given transfer schemes and then outputs the best routing information. To solve our proposed model, an efficient hybrid algorithm, in which the label correcting algorithm is embedded into a branch and bound searching framework, is presented to find the optimal solutions of the considered problem. Finally, the numerical experiments are implemented in different scales of metro networks. The computational results demonstrate the effectiveness and performance of the proposed approaches even for the large-scale Beijing metro network. (C) 2015 Elsevier Ltd. All rights reserved.
The objective of this research is to propose new routing algorithms for the Storage and Retrieval Mechanism (SRM) in the Cylindrical Automated Storage and Retrieval System (C-AS/RS) and contribute to the system concep...
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The objective of this research is to propose new routing algorithms for the Storage and Retrieval Mechanism (SRM) in the Cylindrical Automated Storage and Retrieval System (C-AS/RS) and contribute to the system conceptualization by investigating the maximum achievable retrieval request rates for different routing algorithms and system parameters. For this purpose, flexible and detailed simulation model was developed and investigated for 2 SRM types, 3 routing algorithms and a feasible set of system movement and load transfer time parameters. Based on the simulation output, the regression models for different SRM types and routing algorithms were developed for predicting the maximum retrieval request rate. The differences of the average maximum retrieval request rate were evaluated for various system configurations and routing algorithms. The alternative to optimal routing algorithm was proposed, reducing the system performance only by 1.4?÷?2.4% on average, but requiring significantly less calculations when planning the SRM tour. In addition, the system analysis indicated that SRM vertical velocity and load transfer time have the highest impact on the system performance and for different SRM types the average maximum retrieval request rates differ by 22.2?÷?31.8%.
The present work is proposed to establish a comparative study between the exact method, namely, the algorithmbranch and bound, in respect of the artificial intelligence approaches (the genetic algorithms as well as t...
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ISBN:
(纸本)9780986041983
The present work is proposed to establish a comparative study between the exact method, namely, the algorithmbranch and bound, in respect of the artificial intelligence approaches (the genetic algorithms as well as the neural ones). The purpose is to highlight the artificial intelligence noticeable performance in solving the multi- product and multi- period model through the above-mentioned method, with the aim of providing a solution for the reverse logistics' site-localization problem regarding end-of-life products. For the sake of reaching, a solution within a reasonable tune, however, the genetic algorithm and neural network have displayed a remarkable ability to effectively solve the problem, as considered in relation to the assessment and sorting or separation procedure (branch and bound algorithm), constructed within a CPLEX shopping solver. In addition, a comparative study between the three methods is going to be established.
Demand response is seeing increased popularity worldwide and industrial loads are actively taking part in this trend. As a host of energy-intensive industrial processes, steel plants have both the motivation and poten...
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ISBN:
(纸本)9788894105124
Demand response is seeing increased popularity worldwide and industrial loads are actively taking part in this trend. As a host of energy-intensive industrial processes, steel plants have both the motivation and potential to provide demand response. However, the scheduling of steel plants is very complex and the involved computations are intense. In this paper, we focus on these difficulties and propose methods such as adding cuts and implementing an application-specific branch and bound algorithm to make the computations more tractable.
In current LTE deployments, the unsupervised and unilateral installation of home or localized base stations, so called eNodeBs, may easily lead to excessive energy consumption and over-provisioning of network infrastr...
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ISBN:
(纸本)9781509025589
In current LTE deployments, the unsupervised and unilateral installation of home or localized base stations, so called eNodeBs, may easily lead to excessive energy consumption and over-provisioning of network infrastructure. In this paper, we propose an energy efficient framework, which dynamically adjusts the power requirements of the system and performs Resource Block (RBs) allocation based on needs. It specifically optimizes power consumption of LTE networks consisting of under-utilized eNodeBs. The Energy Efficiency (EE) issue is formulated as an optimization problem, which trades off EE for SE without adversely impacting the downlink throughput. In order to solve this problem, we develop a heuristic approach called as Two Phase Enhanced branch and bound algorithm (TPEBB) [1]. End-to-end latency, modeled by Markov queues, is used as the main metric for QoS in this study [2]. Finally, we compare the proposed framework with various competing methods to show almost 70% improvement in EE and end-to-end latency.
Circulating tumor cells (CTCs) is an informative biomarker which assists pathologists in early diagnosis and evaluating therapeutic effects of patients with malignant tumors. The blood from a cancer patient is analyze...
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ISBN:
(纸本)9788993215120
Circulating tumor cells (CTCs) is an informative biomarker which assists pathologists in early diagnosis and evaluating therapeutic effects of patients with malignant tumors. The blood from a cancer patient is analyzed by a microscope and a large number of pictures including many cells are generated for each case. Thus, analyzing them is timeconsuming work for pathologists, and misdiagnosis may happen since the diagnosis of CTCs tends to depend on the individual skill of pathologist. In this paper, we propose a method which detects cell candidate regions in microscopy images automatically to make quantitative analysis possible by computer. Our proposed method consists of three steps. In the first step, we extract initial cell candidate regions in microscopy images based on the saliency map. In the second step, we choose nonsingle cell regions from the initial candidates based on the SVM algorithm. In the third step, we separate connected regions into single cell regions based on the branch and bound algorithm. We demonstrated the effectiveness of our proposed method using 540 microscopy images and we achieved a true positive rate of 99.04[%] and a false positive rate of 3.95[%].
A branch and bound algorithm is described for optimal cyclic scheduling in a robotic cell with processing time windows. The objective is to minimise the cycle time by determining the exact processing time on each mach...
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A branch and bound algorithm is described for optimal cyclic scheduling in a robotic cell with processing time windows. The objective is to minimise the cycle time by determining the exact processing time on each machine which is limited within a time window. The problem is formulated as a set of prohibited intervals of the cycle time, which is usually applied in the robotic cyclic scheduling problem with fixed processing times. Since both bounds of these prohibited intervals are linear expressions of the processing times, we divide these prohibited intervals into a series of the subsets and transform the problem into enumerating the non-prohibited intervals of cycle time in each subset. This enumeration procedure is completed by an efficient branch and bound algorithm, which could find an optimal solution by enumerating partial non-prohibited intervals. Computational results on the benchmark instances and randomly generated test instances indicate that the algorithm is effective.
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