Description:
Mesh-based survivability offers many advantages, but the research,
educational and perational communications communities need to absorb new
concepts and ideas about network operation; letting the network self-organize
its own logical configuration for example. Operators also need to understand,
evaluate and adopt new methods and models for network design and planning. This
book is designed to contribute to enabling this evolution towards mesh-based
survivable networking.
Table of Contents:
About the Book's Web Site www.ee.ualberta.ca/~grover/
Foreword.
Preface.
Acknowledgements.
Introduction and Outline.
I. PREPARATIONS.
1. Orientation to Transport Networks and
Technology.
Aggregation of Service Layer Traffic into
Transport Demands. Concept of Logical versus Physical Networks: Virtual
Topology. Multiplexing and Switching. Concept of Transparency. Layering and
Partitioning. Plesiochronous Digital Hierarchy (PDH). SONET / SDH. SONET
Overheads. Generic SONET Terminal Multiplexer. Generic SONET Add/Drop
Multiplexer. Digital Cross-Connect Systems. Hubs, Grooming and Backhaul.
Fundamental Efficiency of Edge Grooming and Core Transport. Broadband ISDN and
Asynchronous Transfer Mode (ATM). Concept of Label-Switching: The Basis of ATM
and MPLS. Multi-Protocol Label Switching (MPLS). Network Planning Aspects of
Transport Networks. Modularity and Economy-of-Scale. Fiber Route Structures.
Network Redundancy. Shared-Risk Entities and Fault Multiplication. Demand
Patterns. Short and Long-Term Transport Network Planning Contexts.
2. Internet Protocol and Optical Networking.
Increasing Network Efficiency. DWDM and Optical
Networking. Coarse and Dense WDM. Optical Amplifiers. Regenerators. Optical
Add/drop Multiplexers (OADMs). Transparent, Opaque and Translucent Optical
Networks. Routing and Wavelength Assignment (RWA) Problem. Optical
Cross-Connects (OXC). Wavelength Path Optical Cross-connect (WP-OXC). Optical
Cross-Connect for Virtual Wavelength Paths (VWP-OXC). Partial Wavelength
Converting OXC (PVWP-OXC). Data-Centric Payloads and Formats for the Transport
Network. Computer Interconnect and SAN. Gigabit Ethernet (GbE) and 10 Gb/s
Ethernet (10GbE). Enhancing SONET for Data Transport. Generalized Framing
Procedure (GFP). Virtual Concatenation (VC). Link Capacity Adjustment Scheme
(LCAS). Optical Service Channels and Digital Wrapper. Optical Service Channel
(OSC). Digital Wrapper. IP-Centric Control of Optical Networks. Basic Internet
Protocols. TCP. OSPF. Multi-Protocol Label Switching (MPLS). Extensions for
IP-Centric Control of Optical Networks. OSPF-TE. Link Management Protocol (LMP).
MPlS and Generalized MPLS (GMPLS). Constraint-Based Routing Label Distribution
Protocol (CR-LDP). Network Planning Issues. Does IP-Centric Control Also Imply
an “All-router” Network? Concept of a “Transport Stabilized” Internet.
3. Failure Impacts, Survivability Principles,
and Measures of Survivability.
Transport Network Failures and Their Impacts.
Causes of Failure. Crawford's Study. Effects of Outage Duration. Is 50 ms
Restoration Necessary? Survivability Principles from the Ground Up. Physical
Layer Survivability Measures. Physical Protection Methods. Reducing Physical
Protection Costs with Restoration Schemes. Physical Layer Topology
Considerations. The Problem of Diversity Integrity. Survivability at the
Transmission System Layer. “Linear” Transmission Systems. Automatic Protection
Switching (APS). Reversion. “Extra Traffic” Feature. AIS Concept. Hitless
Switching. Unidirectional Path-Switched Rings (UPSR). Bidirectional
Line-Switched Rings (BLSR). Resilient Packet Rings (RPR). Ring Covers.
Generalized Loopback Networks. System Layer Protection Without 100% Redundancy:
p-Cycles. Logical Layer Survivability Schemes. Concepts of Protection,
Restoration and Distributed Preplanning. Span Restoration or Span Protection.
Meta-mesh. p-Cycles. Path Restoration. Shared-Backup Path Protection (SBPP).
Segmented or Short-Leap Shared Protection (SLSP). GMPLS Automatic Reprovisioning
as a Restoration Mechanism. Service Layer Survivability Schemes. Comparative
Advantages of Different Layers for Survivability. Measures of Outage and
Survivability Performance. McDonald's ULE. The (U,D,E) Framework for Quantifying
Service Outages. Measures of Network Survivability. Restorability. Reliability.
Availability. Concept of “Unavailability”. Series Unavailability Relationships.
Parallel Unavailability Relationships. Series-Parallel Reductions. Network
Reliability. Two-Terminal Network Reliability. Factoring the Graph and
Conditional Decomposition. Expected Loss of Traffic and of Connectivity.
Expected Loss of Traffic (ELT). Annual Expected Downtime of Connection (AEDC).
4. Graph Theory, Routing, and Optimization.
Graph Theory Related to Transport Networking.
Set Concepts and Notation. Graph Theory as it Relates to Transport Networks.
Transport Network Terminology. Distinct and Disjoint Routes. Data
Representations of Graphs. Computational Complexity. Asymptotic Notation. P and
NP. Shortest Path Algorithms. Concepts of Labeling and Scanning. The Dijkstra
Algorithm. Bhandari's Modified Dijkstra Algorithms. BFS Dijkstra. Modified
Dijkstra. k-Shortest Path Algorithms. All Distinct Routes. Maximum Flow: Concept
and Algorithm. The Min-Cut Max-Flow Theorem. Maximum Flow Algorithm. The Trap
Topology. k-Shortest Paths as an Approximation to Maximum Flow. Shortest
Disjoint Path Pair. Finding Biconnected Components of a Graph. The Cut-Tree.
Finding All Cycles of a Graph. Fundamental Set of Cycles. Depth-First Search for
Cycle Enumeration. Optimization Methods for Network Design. Linear and Integer
Programming. The Role and Limitations for Mathematical Programming. General
Symbolic Form of an LP or ILP. Example Development of an Optimization Model.
Making the Problem an Integer Linear Program. Duality. Unimodularity and Special
Structures. Network Flow Problems. The Transportation Problem. Two-Terminal MCNF
(or Minimum Cost Routing). Maximum Flow as an MCNF. Multi-Commodity Maximum Flow
(MCMF). Maximum Sum Multi-Commodity Maximum Flow (MS-MCMF). Maximum Concurrent
MCMF (MConMF). Techniques for Formulating LP/ILP Problems. Mutual Exclusion.
Switching. Peak Minimizing. Bicriteria Studies and Pareto Optimal Solutions.
Representing Routes and Graph Topology. Modularity of Capacity. Implicit
Representation of Functionality. Tips for Getting the Solutions. Lagrangean
Techniques. Vector-Matrix Notation for an LP Problem. Lagrange Multipliers.
Extension to Inequalities. Lagrangean Relaxation and the Lagrangean Dual.
Complexity of LP and ILP. Other Combinatorial Optimization Methods:
Meta-Heuristics. Simulated Annealing. Genetic Algorithms. Tabu Search.
Comparison of Optimization Techniques.
II. STUDIES.
5. Span-Restorable and Span-Protected Mesh
Networks.
Updating the View of Span Restoration.
Operational Concepts for Span Restoration. Details of the Span Restoration (SR)
Concept. Concept of Distributed Self-Healing Mesh Restoration and DRAs.
Self-Organizing Nodal Interaction via Statelets. Distributed Protection
Preplanning with a DRA. The Working Capacity Envelope Concept for Dynamic
Demands. Demand-Adaptive Definition of the Working Capacity Envelope. Concept of
First-Failure Protection and Second-Failure Restoration. Spare Capacity Design
of Span-Restorable Mesh Networks. Overview of the Problem. Basic Node-Arc
Formulation. Basic Arc-Path Formulation. Herzberg and Bye's Hop-Limited
Formulation. Large-Scale Practicality of Hop-Limited Arc-Path SCA. Concept of a
Threshold Hop Limit. Cut-Oriented Formulations of the SCA Problem. Venables'
Iterated Cutsets Method for SCA. Summary: A Complete Cut-Oriented SCA
Methodology. Jointly Optimized Working and Spare Capacity Assignment. Joint
Capacity Allocation (JCA) Model. Isolated Nodal Bounding Considerations. Effect
of Capacity Balance on Redundancy. Understanding the JCA Benefit. Operational
Strategy for JCA-Based Incremental Capacity Planning. The Forcer Concept. Forcer
Analysis Procedure. Modular Span-Restorable Mesh Capacity Design. Modular-Aware
Spare Capacity Allocation (MSCA). Modular Joint Capacity Allocation (MJCA).
Comparative Results with the Modular Design Formulations. Modeling Modularity
with Per-Channel Provisioning Costs. A Generic Policy for Generating Eligible
Route Sets. Generating Eligible Restoration Route Sets. Generating Eligible
Route Sets for Working Paths. Chain Optimized Mesh Design for Low Connectivity
Graphs. The Meta-Mesh Concept. Chain Subnetworks Under Ordinary SCA or JCA.
Logical Chain Bypass Spans. Restoration in the Bypassed Chains. Design Method to
Effect the Meta-Mesh Concept. Sample Results. Span-Restorable Capacity Design
with Multiple Service Classes. How Multi-QoP Span Restoration Works. Multi-QoP
Capacity Design. Multi-QoP MJCA. Sample Results on Multi-QoP Designs.
Approximation Models for Multi-QoP Design. Maximum Revenue Multi-QoP Design.
Incremental Capacity Planning for Span-Restorable Networks. What Value for
Rearrangeability? Bicriteria Design Methods for Span-Restorable Mesh Networks.
Bicriteria Design for Reducing Restoration Path Lengths. Bicriterion Design for
Maintenance Risk Reduction. Bicriterion Design for Best Efforts and Preemptible
Services.
6. Path Restoration and Shared Backup Path
Protection.
Understanding Path Protection, Path Restoration
and Path Segments. Is Path Restoration Just Span Restoration Without Loopbacks?
Concept of Mutual Capacity in Path Restoration. Experiments Simulating GMPLS
Auto Reprovisioning. Network Recovery From Node Loss. A Framework for Path
Restoration Routing and Capacity Design. Specifying Failure Scenarios.
Specifying Network Structure, Capacity and Eligible Routes. The Path Restoration
Rerouting Problem. Concepts of Stub Release and Stub Reuse in Path Restoration.
Lower Bounds on Redundancy. Master Formulation for Path Restoration Capacity
Design. Simplest Model for Path Restoration Capacity Design. Comparative Study
of Span and Path-Restorable Designs. Demand Dispersion and Routing Effects.
Shared Backup Path Protection (SBPP). Infeasibility in Greedy Disjoint Path
Pairs. Discounting the Shared Backup Path: Asymmetric Path Pairs. Disjoint
Primary/Shared Backup Relationships: Venn Diagram. Optimal Design of
Shared-Backup Path Protected Networks. Wavelength Assignment Under SBPP. SBPP
Design with Limits on the Sharing of Spare Capacity. Capacity Effects of Sharing
Limits in SBPP. Arc-Flow Models for SBPP. Lagrangean Relaxation for
Path-Oriented Capacity Design Problems. Solution Method for the LR Problem for a
Given m Vector. Iterative Maximization of the LR Problem on m. Heuristics for
Path-Restorable Network Design. Phase 1 Heuristics—Design Construction. Modeling
Existing Capacity. Minimum Incremental Cost Routing. Iterated-Dijkstra to Solve
MIC_NF. Alternate Phase 1 Algorithm. Putting Modularity Considerations in the
Iterative Heuristic. Concepts of Aggregating Prerouting and Pseudo-Cost
Functions. Modular Minimum Incremental Cost Network Flow (mod_MIC_NF). Modular
Minimal Incremental Cost Multi-Commodity Network Flow. Phase 2 Forcer-Oriented
Design Improvement Heuristic. A Tabu Search Heuristic for Design Tightening.
Simulated Allocation Type of Algorithm for Design Tightening. Efficiently
Updating the Spare Capacity Design. Classifying Spans by Forcer Status.
Path-Shift Strategies for Direct Forcer-Based Improvements.
7. Oversubscription-Based Design of Shared
Backup Path Protection for MPLS or ATM.
Concept of Oversubscription. Historical
Background and Some Misconceptions. Overview of MPLS Shared Backup Path
Protection and ATM Backup VP Concepts. The Oversubscription Design Framework.
Defining the Oversubscription Factor Xj,i. KST Algorithm for Backup Path
Capacity Allocation. Oversubscription Effects with KST-Alg. Minimum Spare
Capacity with Limits on Oversubscription. Minimum Peak Oversubscription with
Given Spare Capacity. OS-3: Minimum Total Capacity with Limited
Oversubscription. Related Bounds on Spare Capacity. Upper Bound Based on KST
Algorithm. Lower Bound Based on the LP Relaxation of OS-1. Illustrative Results
and Discussion. The Design Trade-off between Spare Capacity and Xtol. Statistics
of Individual Xj,i Values under OS-1 Design. OS-2 Minimization of
Oversubscription with Given Capacity. OS-3 Benefit of Jointly Optimizing Primary
and Backup Paths. Determining the Maximum Tolerable Oversubscription. Simulation
Design for Equivalent Bandwidth. Illustrative Results. Other Comments on
Determining Xtol. Extension and Application to Multiple Classes of Service.
Adaptive Link-Based Implementation of Priority Schemes.
8. Dual Failures, Nodal Bypass and Common Duct
Effects on Design and Availability.
Are Dual Failures a Real Concern? Dual Failure
Restorability Analysis of Span-Restorable Networks. Canonical Dual Failure
Scenarios. Determining the Network Average Dual Failure Restorability, R2.
Computational Approach. Models for the Restoration Process. Experimental
Results. Relationship Between Dual Failure Restorability and Availability.
Axioms and Role of Availability Analysis of Networks. Average Case Availability
of Service Paths. Availability Calculation for a Specific Path. Implications for
an Ultra-High Availability Class of Service. Link to the 1FP-2FR Concept. Dual
Failure Availability Analysis for SBPP Networks. Experimental Comparison of SBPP
and Span Restoration. Optimizing Spare Capacity Design for Dual Failures.
Minimum Capacity to Withstand All Dual Failures (DFMC). Dual Failure Maximum
Restorability (DFMR). Pure Redistribution of Spare Capacity to Enhance R2.
Multi-Service Restorability Capacity Placement Design (MRCP). Experimental
Results. Dual Failure Considerations Arising From Express Routes. Express Routes
and Nodal Bypass. Does a Nodal Bypass Require Increased Spare Capacity? When
Does Bypass Yield a Spare Capacity Reduction? Optimal Capacity Design with
Bypasses. Minimum Spare Capacity Given a Set of Express Routes. Allowing the
Model to Dimension the Express Routes. Maximum Port Elimination by Bypass at
Minimum Spare Capacity. Sample Results. Iterative Optimization of Express
Routes. Effects of Dual Failures Arising from Shared Risk Link Groups. Comparing
Span SRLG and Bypass Dual-Failure Situations. Capacity Design for a Known Set of
SRLGs. Effects of SRLGs on Spare Capacity. Randomly Occurring SRLGs.
Availability Benefit of Coincident SRLG Design Coverage. Predicting the Impact
of a Specific SRLG. Effects of Nodal Degree. Effects of Topological Location.
Effects of Working Capacity Disparity. Benefit of Removing the Most Troublesome
SRLGs. SRLG Effects on Other Protection Schemes.
9. Mesh Network Topology Design and Evolution.
Different Contexts and Benefits of Topology
Planning. Topology Design for Working Flow Only. Branch Exchange. Cut
Saturation. The MENTOR Algorithm. Yaged's Fixed Point Convergence Method. The
Fixed Charge and Routing (FCR) Problem. Interacting Effects in Mesh-Survivable
Topology. Experimental Studies of Mesh Capacity versus Graph Connectivity. How
Economy of Scale Changes the Optimal Topology. The Single-Span Addition Problem.
How “Partial Express” Flows Can Suggest New Spans. Frequency and Remoteness
Metrics for Prospective Span Additions. Overall Study Technique for Single-Span
Additions. The Complete Mesh Topology, Routing, and Spare Capacity Problem.
Added Valid Knowledge Constraints. Relaxations. Complexity of MTRS. Sample
Results: Studies with MTRS. Effect of Edge-to-Capacity Cost Ratio, W. Effect of
Demand Intensity and Demand Pattern. A Three-Part Heuristic for MTRS. Step W1:
Working-only Fixed Charge Plus Routing. Step S2: Reserve Network Fixed Charge
and Sparing (RN-FCS). Step J3: Restricted MTRS for Final Topology Selection.
Useful Bounds from Steps W1 and J3. Studies with the Three-Part Heuristic for
MTRS. Method. Results. Discussion. Insights from the Three-Part Heuristic.
Ezema's Edge-Limiting Criteria. Successive Inclusion Heuristic. Graph Sifting
and Graph Repair for Topology Search. Graph Generation. Graph Testing. Repair
Procedures. A Tabu Search Extension of the Graph Sifter Architecture. Range
Sweeping Topology Search. Sample Results with Sweep Search. Overall Strategy and
Applications for Topology Planning.
10. p-Cycles.
The Concept of p-Cycles. Why Straddling Spans
Are So Significant. Historical Origins: Preconfiguration and the “Clamshell”
Diagram. Other Important Properties of p-Cycles. Enhanced Rings. Cycle Covers
and “Protection Cycles” per Ellinas et al. Optimal Capacity Design of Networks
with p-Cycles. Concept of “Useful Paths” for p-Cycle Design. Maximum p-Cycle
Restorability with a Given Spare Capacity. Minimum Spare Capacity for 100%
p-Cycle Restorability. Adding a Span Capacity Constraint. Results with Basic
Capacity Formulations. Joint Optimization of Working Path Routing and p-Cycle
Placement. Application of p-Cycles to DWDM Networks. Wavelength Continuity—the
WP case. Dark-Fiber p-Cycles: Protection without any Wavelength Conversion.
p-Cycle Wavelength Path (WP) Design Problems. Summary and Discussion of p-Cycle
Design Models. Schupke et al — Case Study for DWDM p-Cycles. VWP Results.
Computation Times. Placing Wavelength Converters at the p-Cycle Access Points
Only. Results with Jointly Optimized (VWP) p-Cycles. Heuristic and Algorithmic
Approaches to p-Cycle Design. p-Cycle Efficiency Metrics. The “Perfect Score”
for a p-Cycle. A Score-Based Design Assembly Algorithm. Preselection of
Candidate p-Cycles: a Heuristic for MIP Solutions. Results with Preselection to
Solve the Joint p-Cycle Design Problem. Zhang and Yang's Straddling Span
Algorithm. Add and Join Operations on Primary p-Cycles. Application of Add/Join
Operations to Design Improvement. General p-Cycle Merge Operation. Simulated
Allocation Approach for Joint Design Algorithms. Concept of a Straddling
Subnetwork and Domain Perimeter p-Cycles. Extra Straddling Relationships with
Non-Simple p-Cycles. Hamiltonian p-Cycles and Homogeneous Networks. Concept of a
Homogeneous Network. The Role of Hamiltonian p-Cycles in Ordinary Capacitated
Designs. p-Cycle Design in Homogeneous Hamiltonian Networks. Lower Bounds for
p-Cycles on a Hamiltonian Network. Semi-Homogeneous Networks Inspired by
p-Cycles. An ADM-like Nodal Device for p-Cycles. Self-Organized p-Cycle
Formation. Virtual p-Cycles in the MPLS Layer for Link and Node Protection. IP
Link Restoration with MPLS p-Cycles. Network Design using MPLS p-Cycles for Link
Restoration. Node-Encircling p-Cycles for Protection Against Node Loss. Types of
Node-Encircling p-Cycles. Rerouting Mechanism with Node-Encircling p-Cycles.
Generating Node Encircling p-Cycles. On the Prospect of Using Only
Node-Encircling p-Cycles.
11. Ring-Mesh Hybrids and Ring-to-Mesh
Evolution.
Integrated ADM Functions on DCS/OXC: an Enabler
of Hybrids. Hybrids Based on the Ring-Access Mesh-Core Principle. Core and
Access Network Partitioning. Access Ring Formation and Span Elimination.
Mesh-Chain Hybrid Networks. Studies of Ring-Mesh and Mesh-Chain Hybrid Network
Designs. Design of the Ring-Mesh Hybrids. Pure Mesh and Mesh-Chain Designs. Pure
Ring Reference Designs. Results and Discussion. Optimal Design of Ring-Mesh
Hybrids. Concept of a Single-Layer Ring-Mesh Hybrid Transport Network. Cost
Modeling for Ring-Mesh Hybrids. Ring-Mesh Hybrid Design Model. Forcer Clipping
Ring-Mesh Hybrids. The Forcer Clipping Hypothesis. Forcer Clipping Heuristics.
Methodology for Tests of the Forcer Clipping Heuristics. Results and Discussion.
Ring to Mesh Evolution via “Ring Mining”. Optimization Model for Pure Ring
Mining. Ring Network Designs for Tests of Ring Mining. Test Results for Pure
Ring Mining. Ring Mining with Minimum Cost Capacity Additions. Minimum Cost
Evolutionary Strategy with Conversion Costs. Implementation of Ring Mining
Strategies. Ring Mining to p-Cycles as the Target Architecture. Converting Rings
into Modular p-Cycles: Nodal View. Network Level View of Evolution from Rings to
p-Cycles.
Bibliography.
Index.
描述:
基於網狀的生存能力提供了許多優勢,但研究、教育和操作通信社群需要吸收有關網路運作的新概念和想法;例如,讓網路自我組織其邏輯配置。操作員還需要理解、評估並採用新的網路設計和規劃方法與模型。本書旨在促進向基於網狀的可生存網路的演變。
目錄:
關於本書的網站 www.ee.ualberta.ca/~grover/
前言。
序言。
致謝。
介紹與大綱。
I. 準備工作。
1. 運輸網路與技術概述。
服務層流量的聚合到運輸需求。邏輯網路與物理網路的概念:虛擬拓撲。多路復用與交換。透明度的概念。分層與分區。準同步數位層級 (PDH)。SONET / SDH。SONET 開銷。通用 SONET 終端多路復用器。通用 SONET 加/減多路復用器。數位交叉連接系統。集線器、整理與回程。邊緣整理與核心運輸的基本效率。寬頻 ISDN 與非同步傳輸模式 (ATM)。標籤交換的概念:ATM 和 MPLS 的基礎。多協議標籤交換 (MPLS)。運輸網路的規劃方面。模組化與規模經濟。光纖路由結構。網路冗餘。共享風險實體與故障乘法。需求模式。短期與長期運輸網路規劃背景。
2. 網際網路協議與光纖網路。
提高網路效率。DWDM 與光纖網路。粗波分復用與密波分復用。光放大器。再生器。光加/減多路復用器 (OADMs)。透明、非透明與半透明光網路。路由與波長分配 (RWA) 問題。光交叉連接 (OXC)。波長路徑光交叉連接 (WP-OXC)。虛擬波長路徑的光交叉連接 (VWP-OXC)。部分波長轉換 OXC (PVWP-OXC)。運輸網路的數據中心有效載荷與格式。計算機互連與 SAN。千兆以太網 (GbE) 與 10 Gb/s 以太網 (10GbE)。增強 SONET 以進行數據傳輸。通用框架程序 (GFP)。虛擬串接 (VC)。鏈路容量調整方案 (LCAS)。光服務通道與數位包裝。光服務通道 (OSC)。數位包裝。光網路的 IP 中心控制。基本的網際網路協議。TCP。OSPF。多協議標籤交換 (MPLS)。光網路的 IP 中心控制擴展。OSPF-TE。鏈路管理協議 (LMP)。MPLS 與通用 MPLS (GMPLS)。基於約束的路由標籤分配協議 (CR-LDP)。網路規劃問題。IP 中心控制是否也意味著“全路由器”網路?“運輸穩定”網際網路的概念。
3. 故障影響、生存能力原則與生存能力衡量。
運輸網路故障及其影響。故障原因。Crawford 的研究。停機持續時間的影響。50 毫秒的恢復是否必要?從基礎開始的生存能力原則。物理層生存能力措施。物理保護方法。通過恢復方案降低物理保護成本。物理層拓撲考量。多樣性完整性問題。傳輸系統層的生存能力。“線性”傳輸系統。自動保護切換 (APS)。回退。“額外流量”功能。AIS 概念。無損切換。單向路徑切換環 (UPSR)。雙向線路切換環 (BLSR)。彈性數據包環 (RPR)。環形覆蓋。通用回路網路。沒有 100% 冗餘的系統層保護:p-循環。邏輯層生存能力方案。保護、恢復與分散預規劃的概念。跨度恢復或跨度保護。元網狀。p-循環。路徑恢復。共享備份路徑保護 (SBPP)。分段或短跳共享保護 (SLSP)。GMPLS 自動重新配置作為恢復機制。服務層生存能力方案。不同層次的生存能力比較優勢。停機與生存能力性能的衡量。McDonald's ULE。量化服務停機的 (U,D,E) 框架。網路生存能力的衡量。可恢復性。可靠性。可用性。“不可用性”的概念。系列不可用性關係。並行不可用性關係。系列-並行簡化。網路可靠性。雙端網路可靠性。圖的因式分解與條件分解。預期流量與連通性的損失。預期流量損失 (ELT)。連接的年預期停機時間 (AEDC)。
4. 圖論、路由與優化。
與運輸網路相關的圖論。集合概念與符號。圖論與運輸網路的關係。運輸網路術語。不同且不相交的路徑。圖的數據表示。計算複雜性。漸近符號。P 與 NP。最短路徑算法。標籤與掃描的概念。Dijkstra 算法。Bhandari 的修改 Dijkstra 算法。BFS Dijkstra。修改 Dijkstra。k-最短路徑算法。所有不同路徑。最大流:概念與算法。最小切最大流定理。最大流算法。陷阱拓撲。k-最短路徑作為最大流的近似。最短不相交路徑對。尋找圖的雙連通分量。切割樹。尋找圖的所有循環。基本循環集。深度優先搜索以進行循環列舉。網路設計的優化方法。線性與整數規劃。數學規劃的角色與限制。LP 或 ILP 的一般符號形式。優化模型的示例開發。將問題轉化為整數線性程序。對偶性。單調性與特殊結構。網路流問題。運輸問題。雙端 MCNF(或最小成本路由)。最大流作為 MCNF。多商品最大流 (MCMF)。最大和多商品最大流 (MS-MCMF)。最大並行 MCMF (MConMF)。LP/ILP 問題的公式化技術。互斥。切換。峰值最小化。雙準則研究與帕累托最優解。表示路徑與圖拓撲。容量的模組化。功能的隱式表示。獲取解決方案的提示。拉格朗日技術。LP 問題的向量-矩陣符號。拉格朗日乘數。擴展到不等式。拉格朗日鬆弛與拉格朗日對偶。LP 和 ILP 的複雜性。其他組合優化方法:元啟發式。模擬退火。遺傳算法。禁忌搜索。優化技術的比較。
II. 研究。
5. 可恢復跨度與保護跨度的網狀網路。
更新對跨度恢復的看法。跨度恢復的操作概念。跨度恢復 (SR) 概念的細節。分散自我修復網狀恢復與 DRA 的概念。通過狀態小節的自我組織節點互動。通過 DRA 的分散保護預規劃。動態需求的工作容量包絡概念。需求自適應的工作容量包絡定義。首次故障保護與第二次故障恢復的概念。可恢復跨度網狀的備用容量設計。問題概述。基本節點-弧公式化。基本弧-路徑公式化。Herzberg 和 Bye 的跳數限制公式化。跳數限制弧-路徑 SCA 的大規模實用性。閾值跳數限制的概念。以切割為導向的 SCA 問題公式化。Venables 的迭代切割集方法。總結:完整的切割導向 SCA 方法。聯合優化的工作與備用容量分配。聯合容量分配 (JCA) 模型。孤立節點邊界考量。容量平衡對冗餘的影響。理解 JCA 的好處。基於 JCA 的增量容量規劃的操作策略。強制者概念。強制者分析程序。模組化可恢復網狀容量設計。模組化感知的備用容量分配 (MSCA)。模組化聯合容量分配 (MJCA)。與模組設計公式的比較結果。使用每通道供應成本建模模組化。生成合格路徑集的通用政策。生成合格的恢復路徑集。為工作路徑生成合格路徑集。針對低連通圖的鏈優化網狀設計。元網狀概念。在普通 SCA 或 JCA 下的鏈子網路。邏輯鏈旁路跨度。在旁路鏈中的恢復。實現元網狀概念的設計方法。示例結果。具有多服務類別的可恢復跨度容量設計。多 QoP 跨度恢復的運作方式。多 QoP 容量設計。多 QoP MJCA。多 QoP 設計的示例結果。多 QoP 設計的近似模型。最大收益的多 QoP 設計。可恢復網路的增量容量規劃。重組能力的價值?可恢復網狀的雙準則設計方法。減少恢復路徑長度的雙準則設計。降低維護風險的雙準則設計。最佳努力與可搶佔服務的雙準則設計。
6. 路徑恢復與共享備份路徑保護。
理解路徑保護、路徑恢復與路徑段。路徑恢復是否只是沒有回路的跨度恢復?路徑恢復中的互動容量概念。模擬 GMPLS 自動重新配置的實驗。從節點損失中恢復網路。路徑恢復路由與容量設計的框架。指定故障場景。指定網路結構、容量與合格路徑。路徑恢復重新路由問題。路徑恢復中的 Stub 釋放與 Stub 重用的概念。冗餘的下限。路徑恢復容量設計的主公式。路徑恢復容量設計的最簡模型。可恢復跨度與路徑設計的比較研究。需求分散與路由影響。共享備份路徑保護 (SBPP)。貪婪不相交路徑對中的不可行性。折扣共享備份路徑:不對稱路徑對。不相交的主要/共享備份關係:維恩圖。共享備份路徑保護網路的最佳設計。SBPP 下的波長分配。SBPP 設計中對備用容量共享的限制。SBPP 中共享限制的容量影響。SBPP 的弧流模型。針對路徑導向容量設計問題的拉格朗日鬆弛。給定 m 向量的 LR 問題的解決方法。對 m 的 LR 問題的迭代最大化。可恢復網路設計的啟發式方法。第一階段啟發式—設計建構。建模現有容量。最小增量成本路由。迭代 Dijkstra 解決 MIC_NF。替代第一階段算法。在迭代啟發式中考慮模組化。聚合預路由與偽成本函數的概念。模組化最小。