We study a cooperation structure in which the feasible coalitions are those belonging to a partition closure system. First, we develop the relation between the dividends of Harsanyi in the restricted game and the worth function in the original game. Next, we obtain an method for computing the...

This paper introduces a new class of cooperative games called externality games. In these games each player contributes with their specific endowment and also with their presence to the total worth of the coalition she belongs to. We prove that for these games there exists a unique efficient,...

A radically new approach to indexable systems pioneered by Bertsimas and Niño-Mora is utilised to provide novel analyses of classes of complex multi-armed bandits in which the individual bandits have their own decision structure. A new index result for an undiscounted model is established....

We show the existence ofaverage cost (AC-) optimal policy for an inventory system withuncountable state space; in fact, the AC-optimal cost and an AC-optimal stationary policy areexplicitly computed. In order to do this, we use a variant of thevanishing discount factor approach, which have been...

Using a particular kind of pseudomonotonicity for multivalued mappings, an existence result is proved for equilibria, variational inequalities, and a combination of both. Copyright Springer-Verlag Berlin Heidelberg 1998

Given a networkN=(V,A,c), a sources εV, a. sinkt εV and somes —t cuts and suppose each element of the capacity vectorc can be changed with a cost proportional to the changes, the inverse problem of minimum cuts we study here is to change the original capacities with the least total cost...

We discuss three scalarizations of the multiobjectie optimization from the point of view of the parametric optimization. We analyze three important aspects:<OrderedList> <ListItem> <ItemNumber>i)</ItemNumber> <ItemContent> What kind of singularities may appear in the different parametrizations </ItemContent> </ListItem> <ListItem> <ItemNumber>ii)</ItemNumber> <ItemContent> Regularizations in the sense of Jongen, Jonker and...</itemcontent></itemnumber></listitem></itemcontent></itemnumber></listitem></orderedlist>

We consider a two-station network with two types of jobs: type 0 jobs require service at station 1 only and type 1 jobs require service both at station 1 and 2 in sequence. Each station has a single server. The problem is to schedule the server at station 1 between the two types of jobs in order...

We consider a single server system consisting of e queues with different types of customers (Poisson streams) andk permanent customers. The permanent customers and those at the head of the queues are served in processor-sharing by the service facility (head-of-the-line processor-sharing). The...

In this paper, under the assumption that the nonconvex vector valued function f satisfies some lower semicontinuity property and bounded below, the nonconvex vector valued function sequence f <Subscript> n </Subscript> satisfies the same lower semicontinuity property and uniformly bounded below, and f <Subscript> n </Subscript> converges to...</subscript></subscript>