Hierarchical Approach for Survivable Network Design

A central design challenge facing network planners is how to select a cost-effective network configuration that can provide uninterrupted service despite edge failures. In this paper, we study the Survivable Network Design (SND) problem, a core model underlying the design of such resilient networks that incorporates complex cost and connectivity trade-offs. Given an undirected graph with specified edge costs and (integer) connectivity requirements between pairs of nodes, the SND problem seeks the minimum cost set of edges that interconnects each node pair with at least as many edge-disjoint paths as the connectivity requirement of the nodes. We develop a hierarchical approach for solving the problem that integrates ideas from decomposition, tabu search, randomization, and optimization. The approach decomposes the SND problem into two subproblems, Backbone design and Access design, and uses an iterative multi-stage method for solving the SND problem in a hierarchical fashion. Since both subproblems are NP-hard, we develop effective optimization-based tabu search strategies that balance intensification and diversification to identify near-optimal solutions. To initiate this method, we develop two heuristic procedures that can yield good starting points. We test the combined approach on large-scale SND instances, and empirically assess the quality of the solutions vis-à-vis optimal values or lower bounds. On average, our hierarchical solution approach generates solutions within 2.7% of optimality even for very large problems (that cannot be solved using exact methods), and our results demonstrate that the performance of the method is robust for a variety of problems with different size and connectivity characteristics.

Full Cups, Full Coffers: Tax Strategies and Consumer Culture in the Early Modern German Cities

During the sixteenth and seventeenth centuries, the excise taxes (Ungeld) paid by town residents on the consumption of beer, wine, mead and brandy represented the single most important source of civic revenue for many German cities. In a crisis, these taxes could spike to 70-80% of civic income. This paper examines civic budgets and 'behind-the-scenes' deliberations in a sample of towns in southern Germany in order to illuminate how decisions affecting consumer taxes were made. Even during the sobriety movements of the Reformation and post-Reformation period, tax income from drinkers remained attractive to city leaders because the bulk of the excise tax burden could easily be shifted away from privileged members of society and placed on the population at large. At the same time, governments had to maintain a careful balance between what they needed in order to govern and what the consumer market could bear, for high taxes on drinks were also targeted in many popular revolts. This led to nimble politicking by those responsible for tax decisions. Drink taxes were introduced, raised, lowered and otherwise manipulated based not only on shifting fashions and tastes but also on the degree of economic stress faced by the community. Where civic rulers were successful in striking the right balance, the rewards were considerable. The income from drink sales was a major factor in how the cities of the Empire survived the wars and other crises of the early modern period without going into so much debt that they lost their independence.

Full Cups, Full Coffers: Tax Strategies and Consumer Culture in the Early Modern German Cities

During the sixteenth and seventeenth centuries, the excise taxes (Ungeld) paid by town residents on the consumption of beer, wine, mead and brandy represented the single most important source of civic revenue for many German cities. In a crisis, these taxes could spike to 70–80% of civic income. This paper examines civic budgets and ‘behind-the-scenes’ deliberations in a sample of towns in southern Germany in order to illuminate how decisions affecting consumer taxes were made. Even during the sobriety movements of the Reformation and post-Reformation period, tax income from drinkers remained attractive to city leaders because the bulk of the excise tax burden could easily be shifted away from privileged members of society and placed on the population at large. At the same time, governments had to maintain a careful balance between what they needed in order to govern and what the consumer market could bear, for high taxes on drinks were also targeted in many popular revolts. This led to nimble politicking by those responsible for tax decisions. Drink taxes were introduced, raised, lowered and otherwise manipulated based not only on shifting fashions and tastes but also on the degree of economic stress faced by the community. Where civic rulers were successful in striking the right balance, the rewards were considerable. The income from drink sales was a major factor in how the cities of the Empire survived the wars and other crises of the early modern period without going into so much debt that they lost their independence.