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In this paper, we consider the Unsplittable (hard) Capacitated Facility Location Problem (UCFLP) with uniform capacities and present new approximation algorithms for it. This problem is a generalization of the classical facility location problem where each facility can serve at most u units of demand and each client must be served by exactly one facility.… (More)

Given a metric $$(V,d)$$ ( V , d ) and an integer $$k$$ k , we consider the problem of partitioning the points of $$V$$ V into at most $$k$$ k clusters so as to minimize the sum of radii or the sum of diameters of these clusters. The former problem is called the minimum sum of radii (MSR) problem and the latter is the minimum sum of diameters (MSD) problem.… (More)

We consider two closely related fundamental clustering problems in this paper. In the min-sum k-clustering one is given a metric space and has to partition the points into k clusters while minimizing the sum of pairwise distances between the points within the clusters. In the Balanced k-Median problem the instance is the same and one has to obtain a… (More)

We consider a facility-location problem that abstracts settings where the cost of serving the clients assigned to a facility is incurred by the facility. Formally, we consider the minimum-load k-facility location (MLkFL) problem, which is defined as follows. We have a set F of facilities, a set C of clients, and an integer k ≥ 0. Assigning client j to a… (More)

The Internet relies on cooperative endpoints to react to signals from the network that congestion is occurring. In particular, TCP interprets packet loss as a signal of congestion. However there are many new non-cooperative protocols in use which attempt to exploit the network aggressively and do not reduce their demands when the network signals congestion.… (More)

In this note, we study the behavior of independent sets of maximum probability measure in tensor graph powers. To do this, we introduce an upper bound using measure preserving homomorphisms. This work extends some previous results about independence ratios of tensor graph powers.

In this paper, we propose a new neuro-fuzzy system for episodic reinforcement learning tasks, NEFRL. While NEFRL has all benefits of a neuro-fuzzy architecture, it has the additional advantage that it can learn with a numerical evaluation of performance and there is no need for training input-output pairs. Also, we show that the learning algorithm of this… (More)

In recent years, Global and Grid Computing emerge as two powerful technology trends. In this paper, we compare these two approaches of distributed computing. First, we present a definition for Global Computing that accentuates the key point in this trend. This key point distinguishes Global Computing from other trends and covers many such systems. Second,… (More)