In this paper, we study the exploration / exploitation trade-off in cellular genetic algorithms. We define a new selection scheme, the centric selection, which is tunable and allows controlling the selective pressure with a single parameter. The equilibrium model is used to study the influence of the centric selection on the selective pressure and a new model which takes into account problem de...

In this paper, we discuss analog neural approaches to the quadratic assignment problem (QAP). These approaches employ a hard constraints scheme to restrict the domain space, and are able to obtain much improved solutions over conventional neural approaches. Since only a few strong heuristics for QAP have been known to date, our approaches are good alternatives, capable of obtaining fairly good ...

The Max-Profit Generalized Assignment Problem (Max-GAP) is: given sets J of bins and I of items, where each j ∈ J has capacity c(j) and each i ∈ I has in bin j size `(i, j) and profit p(i, j), find a maximum profit feasible assignment. The problem admits a 1/2-approximation algorithm. Our main result is a (1− 1/e)-approximation algorithm for Max-GAP with fixed profits when each i ∈ I has a fixe...

Let A = {a1, a2, . . . , as} and {b1, b2, . . . , bt} be two sets of objects with s + r = n, the generalized assignment problem assigns each element ai ∈ A to at least αi and at most α ′ i elements in B, and each element bj ∈ B to at least βj and at most β ′ j elements in A for all 1 ≤ i ≤ s and 1 ≤ j ≤ t. In this paper, we present an O(n) time and O(n) space algorithm for this problem using th...

this paper deals with the problem of user-server assignment in online social network systems. online social network applications such as facebook, twitter, or instagram are built on an infrastructure of servers that enables them to communicate with each other. a key factor that determines the facility of communication between the users and the servers is the expected transmission time (ett). a ...

There has been considerable recent interest in the dynamic vehicle routing problem, but the complexities of this problem class have generally restricted research to myopic models. In this paper, we address the simpler dynamic assignment problem, where a resource (container, vehicle or driver) can only serve one task at a time. We propose a very general class of dynamic assignment models, and pr...

One of the geometrical k-cut problem applications is the task assignment in homogeneous networks where processors are homogeneous and some of them have unique or special functionalities. Though the problem is NP-hard in general, there are polynomial-time optimal algorithms if the topology graphs representing networks have regular properties such as tree and general array. We showed that the O(n...

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New lower bounds for the quadratic assignment problem QAP are presented. These bounds are based on the orthogonal relaxation of QAP. The additional improvement is obtained by making eecient use of a tractable representation of orthogonal matrices having constant row and column sums. The new bound is easy to implement and often provides high quality bounds under an acceptable computational eeort.

It is the purpose of this paper to propose and discuss certain modifications of the ideas concerning GromovHausdorff distances in order to tackle the problems of shape matching and comparison. These reformulations render these distances more amenable to practical computations without sacrificing theoretical underpinnings. A second goal of this paper is to establish links to several other practi...