# A Comparison Of Routing Sets For Robust Network Design

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### arXiv:1901.03586v1 [math.OC] 11 Jan 2019

A Comparison of Models for Uncertain Network Design Francis Garuba*1, Marc Goerigk2, and Peter Jacko1 1Department of Management Science, Lancaster University, United Kingdom 2Network and Data Science Management, University of Siegen, Germany Abstract To solve a real-world problem, the modeler usually needs to make a trade-off between

### Robust Network Design: Formulations, Valid Inequalities, and

Section 2.2 we introduce three different formulations for robust network design using the Γ-model. Sec-tion 3 is devoted to cut-based valid inequalities to improvethe formulations. In Section 4, we report on the computational comparison of the formulations and an evaluation of the robust network designs. We close with concluding remarks.

### Combined Network Design and Multiperiod Pricing: Modeling

ing network design problem was simplified. We expand on these limitations next. First, in Lanning et al. (2000) the planning model was limited to a five-node ring network over five time periods. The small size of the network and small number of time periods obviated the need for truly effective optimization algorithms.

### A Fast ILP-Based Heuristic for the Robust Design of Body

tic for solving the robust design problem, based on combining deterministic and probabilistic variable ﬁxing strategies guided by peculiar linear relaxations of the robust optimization model. In comparison to [13], our new algorithm does not just ﬁx the variables expressing routing decisions, but also employs an ini-

### The Pennsylvania State University The Graduate School

decentralized routing algorithms to attain energy balance of sensor networks and, consequently, realize sensor networks with maximum lifetime and robustness to network dynamics. This thesis introduces a new network topology, which applies a decentralized decision-making scheme, to design such a routing algorithm. In the topology, each

### CORC Report 2002-08 Combined Network Design and Multi-Period

A third feature not addressed in [24], and implicit in the prior paragraph, concerns routing schemes in the case of a ring networks, routing is trivial. Typically, standard network design models have assumed that any path may be used to route traﬃc (for exceptions, see [9], [10]). In realistic settings, however, one

### Power allocation and routing in multibeam satellites with

extended to treat a joint problem of routing and power allocation in a system with multiple users and satellites and a throughput maximizing algorithm for this joint problem is constructed. Finally, we address the issue of interchannel interference and develop a modified policy when power vectors are constrained to feasible activation sets.

### A comparison of routing sets for robust network design

A comparison of routing sets for robust network design 3 pendency on the routing set and formalize each of the routing frameworks studied herein. Then, we study in Section 3 how good is the cost of the optimal capacity allocation provided by each of the routing sets, and we compare these costs among the di erent routing sets.

### Recoverable Robustness in Rapid Transit Network Design

A robust network design may be too expensive to be operated in a daily basis because if there are no disruptions, a low utilization of the infrastructure may occur. Therefore, a less robust approach is proposed accounting for possible disruptions. We propose a recoverable robust network design as an

### Establishing Efficient All One-to-One Paths by Exploring

Establishing Efficient All One-to-One Paths by Exploring Cyclic Quorum Sets Abstract Cycle-based routing is an efficient routing mechanism widely used to achieve fault-tolerant, reliable, and robust network routing. To meet all-to-all source-destination pairs traffic requirements using cycle-based

### Performance Evaluation and Comparison of AODV and AOMDV

One of the main challenges of MANET is the design of robust routing algorithms that adapt to the frequent and consistent and up-to-date routing information of the network topology of all nodes

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In this paper, we study a distributionally robust mobile facility routing and scheduling (DMFRS) problem. Speci cally, given a set of MFs, we aim to nd: (1) the number of MFs to use within T, (2) a routing plan for the selected MFs, i.e., routes that specify the movement of each MF, (3) a

### A Comparison of OLSR and OSPF-MDR for Large-Scale Airborne

bandwidth e cient and robust to frequent topology changes. To assess the two protocols, we simulate them in networks with up to 400 mobile nodes, under a variety of network densities. We evaluate them on the basis of the amount of routing overhead generated, the rate of successful packet delivery, and the time it takes until all of the routing ta-

### ABSTRACT SATELLITE NETWORK DESIGN, OPTIMIZATION AND

the network planners to consider management problems over multiple time periods and introduces novel challenges that have not been considered previously in the literature. Speciﬂcally, we introduce a multiperiod tra c routing problem and a multi-period network design problem that incorporate rerouting penalties. For both of

### Oracle Logistics Network Modeling Cloud Data Sheet

design and operate efficient and agile logistics networks. Whether you are attempting to determine the impact of routing options, quantifying potential savings by adjusting shipping and receiving hours at the warehouse, or analyzing the impact of rate increases on your budget, Oracle Logistics Network Modeling Cloud provides an

### NETWORK DESIGN UNDER DEMAND UNCERTAINTY

NETWORK DESIGN UNDER DEMAND UNCERTAINTY Koonlachat Meesublak, PhD University of Pittsburgh, 2007 A methodology for network design under demand uncertainty is proposed in this dissertation. The uncertainty is caused by the dynamic nature of the IP-based tra c which is expected to be transported directly over the optical layer in the future.

### A comparison of routing sets for robust network design

A comparison of routing sets for robust network design Michael Poss Abstract Designing a network able to route a set of non-simultaneous demand vectors is an important problem arising in telecommunications. The problem can be seen a two-stage robust program where the recourse function consists in choosing the routing for each demand vector

### Robust Solutions for the DWDM Routing and Provisioning

a robust design for this problem, the primary objective is to minimize a regret function that models the total amount of over and/or under provisioning in the network resulting from uncer-tainty in a demand forecast. Point-to-point demands are given by a set of scenarios each with a known probability, and regret is modeled as a quadratic function.

### Specalog for 8750 Dragline AEHQ6889-02

It consists of a number of conigurable capability sets Fleet, Terrain, Detect, Health, and Command that allow you to scale the system to your mine site needs. Cat MineStar System helps you manage everything from material tracking to sophisticated real-time leet management, machine health systems, autonomous equipment, and more.

### Designing robust rapid transit networks with alternative routes

The aim of this paper is to propose a model for the design of a robust rapid transit network. In this paper, a network is said to be robust when the effect of disruption on total trip coverage is minimized. The proposed model is constrained by three different kinds of flow conditions. These constraints will yield a network that

### Robust Network Capacity Expansion with Non-linear Costs

30 Keywords and phrases Robust Optimization, Mobile Network, Network Capacity Design & Expan-31 sion, Non-linear Cost, Trafﬁc and Transport Routing 32 Digital Object Identiﬁer 10.4230/OASIcs.ATMOS.2019. 33 1Introduction 34 Network design and capacity planning has always been of strategic importance in most 35 organization. This implies that

### Robust Queueing Applied to Closed Queueing Networks

Queueing Network Characterization in RQ RQNA Consider a network of single-class, single-server FIFO queues, with arrival and service processes characterized above, and a routing matrix P. Then, the behavior of the network is equivalent to a collection of independent queues, where the arrival process at each node j belongs to the uncertainty set

### Single-Commodity Robust Network Design with Finite and Hose

Both types originally appeared in non-robust network design, see [32] for the orig-inal application of these inequalities and [9, 15, 14] for examples of advanced cut-set based branch-and-cut algorithms. Additionally, Atamtürk [6] and Raack, Koster and Wessäly [41] give extensive surveys of the use of these inequalities in network design.

### Afﬁne recourse for the robust network design problem: between

We apply them to robust network design with poly-hedral demand uncertainty, introducing the a ne routing principle. We compare the a ne routing to the well-studied static and dynamic routing schemes for robust network design. All three schemes are embedded into the general framework of two-stage network design with recourse.

### IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS, VOL

routing, robust network, routing algorithm, scalability. 1INTRODUCTION D ESIGNING interconnection architectures is an important and difficult task in the implementation of high-performance parallel and distributed systems [17]. The choice of the interconnection network may affect several characteristics of the final system, including implementa-

### Robust Multipath Source Routing Protocol (RMPSR) for Video

Two route sets are nearly disjoint, if corresponding primary routes are nearly disjoint. The basic idea behind RMPSR is to build multiple nearly disjoint route sets for the communication pair. Similar to DSR[1] and SMR[2], we also use an on-demand source routing approach. The reasons for choosing source routing are that (a) it has been shown to

### Reliable and resilient access network design for advanced

network in an AMI. Specifically, this study first examines the basic network topology adopted in an AMI access network and its underlying connectivity issues. Secondly, this study proposes two practical solutions as parts of incremental network design to improve the communication robustness of existing communication architectures.

### Large Scale Evacuation Transportation Systems: Robust Models

Section 3 discusses the work of Chung et al. (2011), in which a new model for robust dynamic network design was developed to reduce network traffic congestion through capacity expansion policies. The study is the first to apply robust optimization methodology to a network design problem with dynamic flows and uncertain demand. 2.

### Federal University of Rio de Janeiro

APPLICATIONS AND ALGORITHMS FOR TWO-STAGE ROBUST LINEAR OPTIMIZATION Marco Aurelio Costa da Silva TESE SUBMETIDA AO CORPO DOCENTE DO INSTITUTO ALBERTO LUIZ COIMBRA DE POS-GRADUAC

### New Algorithms for the efficient design of topology-oriented

for robust and efficient group communications in MANETs are proposed. The primary focus of this work is the logical evaluation of the proposed schemes, in isolation from network functions that interact with them. In [23], we study the extension of a number of known KA protocols over multi-hop ad hoc networks. The investigation conducted sets the

### Lancet: Better network resilience by designing for pruned

by protection routing, and optimal network response; (ii) Lancet enables design of protection schemes that significantly outperform existing protection schemes, and surprisingly can exactly match the performance of the optimal response in many cases; (iii) design with Lancet is tractable and takes acceptable time even for large topologies.

### DRAIN: Deadlock Removal for Arbitrary Irregular Networks

requirements), design-time overheads (e.g., design veriﬁca-tion) and performance-limiting constraints (e.g., restrictive routing). Furthermore, as process technology descends into the deep sub-micro realm, continued (albeit degraded) service must be provided by the network in the face of accumulating hard faults over the lifetime of the chip [1].

### A comparison of different routing schemes for the robust

rules in adjustable robust optimization [14]. A ne routing has been used in several papers on robust network design, see for instance [8, 28, 40, 44], including a variation of the problem where it is the capacity, rather than the demand, which is uncertain [42]. Volume routing [12] is a special case of

### Robustness and Vulnerability Design for Autonomic Management

Network management and design is a major challenge in communication networks. While the initial design of a communication network is a complicated task where the network should be designed optimally for multiple related objectives, network management is an ongoing process that allocates network resources to various de-

### Robust solutions - SMU

two-phase robust optimization procedure is presented that determines an optimal design when all scenarios are considered simultaneously. The robust models use a con-vex, piece-wise linear function to model regret and extend the strategy presented in Mulvey et al. [14]. 2.1 Sets The network topology is represented as a graph G

### Aﬀine recourse for the robust network design problem: Between

Unrestricted second stage recourse in robust network design is called dynamic routing [22, 31, 38]. Given a ﬁxed design, the commodity routing can be changed arbitrarily for every realization of the demands. Chekuri et al. [22] and Gupta et al. [31] show that allowing for dynamic routing makes robust network design intractable. More precisely

### Designing robust rapid transit networks with alternative routes

The aim of this paper is to propose a model for the design of a robust rapid transit network. In this paper, a network is said to be robust when the effect of disruption on total trip coverage is minimized. The proposed model is constrained by three different kinds of ﬂow conditions. These constraints will yield a network that

### Reliable Location Allocation Routing Design under Disruption

Routing Problem (RLARP), specifically at the design level of supply chain networks. We propose a mathematical model, called RLARP, to design a network which can perform efficiently and reliably, at the minimum cost in the presence of the disruptions. More specifically, the model seeks the optimal location of facilities, allocation of demands along

### Impact of On-chip Inductance on Power Distribution Network

accurate and simple method to design a cost-effective and robust power supply grid early in the design cycle. Role of On-Chip Inductance: The two major contributors to power supply noise are resistive IR voltage drop [5] and inductive L(di/dt) voltage drop [6]. Inductance on the power supply network appears mainly in

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