This article describes the results of applying a rigorous computational model to the problem of the optimal defensive resource allocation among potential terrorist targets. In particular, our study explores how the optimal budget allocation depends on the cost effectiveness of security investments, the defender's valuations of the various targets, and the extent of the defender's uncertainty ab...

This paper presents and studies models for multi-criterion budget allocation problems under uncertainty. The proposed models incorporate uncertainties in decision maker’s weights using a robust weighted sum approach. The risk averseness of the decision maker in satisfying random risk related constraints is ensured by using stochastic dominance. A sample average approximation approach together w...

In a classical facility location problem we consider a graph G with fixed weights on the edges of G. The goal is then to find an optimal positioning for a set of facilities on the graph with respect to some objective function. We introduce a new framework for facility location problems, where the weights on the graph edges are not fixed, but rather should be assigned. The goal is to find the va...

OBJECTIVES This article outlines the budgetary setting within the UK health-care system. METHODS It is argued that while prospective budgets can give rise to efficient resource allocation outcomes, this relies on the budget being set at an appropriate level and the accompanying incentive structures being efficient. The organizational structures and the interrelationships are critical. The rec...

How do consumers adjust their spending when their budget changes? A common view is that the allocation of one’s current budget should not depend on previous budget allocations. Contrary to this, the authors find that when the budget contracts to a particular level, consumers select less variety (as measured by the number of different items with some of the budget allocated to them) than when th...

We studied costs and benefits of life history shifts of water fleas (genus Daphnia) in response to infochemicals from planktivorous fish. We applied a dynamic energy budget model to investigate the resource allocation patterns underlying the observed life history shifts and their adaptive value under size selective predation in one coherent analysis. Using a published data set of life history s...

In this paper, we develop a novel strategy for the privacy budget allocation on answering a batch of queries for statistical databases under differential privacy framework. Under such a strategy, the noisy results are more meaningful and achieve better utility of the dataset. In particular, we first formulate the privacy allocation as an optimization problem. Then derive explicit approximation ...

Budget allocation is a common task carried in our daily life. As it seems to be necessary to perform this task in an ideal manner this paper mainly deals with budget allocation problem. The main key feature of this work is that it uses a mathematical programming technique Data Envelopment Analysis (DEA) for formulating a proper model for capital budget allocation. This formulation is based on t...

We consider envy-free and budget-balanced allocation rules for problems where a number of indivisible objects and a fixed amount of money is allocated among a group of agents. In “small” economies, we identify under classical preferences each agent’s maximal gain from manipulation. Using this result we find the envy-free and budget-balanced allocation rules which are least manipulable for each ...

In this paper we address the problem of budget allocation for redundantly crowdsourcing a set of classification tasks where a key challenge is to find a trade–off between the total cost and the accuracy of estimation. We propose CrowdBudget, an agent–based budget allocation algorithm, that efficiently divides a given budget among different tasks in order to achieve low estimation error. In part...