Log In Sign Up

Flexibility can hurt dynamic matching system performance

by   Arnaud Cadas, et al.

We study the performance of general dynamic matching models. This model is defined by a connected graph, where nodes represent the class of items and the edges the compatibilities between items. Items of different classes arrive one by one to the system according to a given probability distribution. Upon arrival, an item is matched with a compatible item according to the First Come First Served discipline and leave the system immediately, whereas it is enqueued with other items of the same class, if any. We show that such a model may exhibit a non intuitive behavior: increasing the services ability by adding new edges in the matching graph may lead to a larger average population. This is similar to a Braess paradox. We first consider a quasicomplete graph with four nodes and we provide values of the probability distribution of the arrivals such that when we add an edge the mean number of items is larger. Then, we consider an arbitrary matching graph and we show sufficient conditions for the existence or non-existence of this paradox. We conclude that the analog to the Braess paradox in matching models is given when specific independent sets are in saturation, i.e., the system is close to the stability condition.


page 1

page 2

page 3

page 4


Optimal Control of Dynamic Bipartite Matching Models

A dynamic bipartite matching model is given by a bipartite matching grap...

Stochastic dynamic matching: A mixed graph-theory and linear-algebra approach

The stochastic dynamic matching problem has recently drawn attention in ...

Stochastic Non-Bipartite Matching Models and Order-Independent Loss Queues

The need for matching items with one another while meeting assignment co...

On Compatible Matchings

A matching is compatible to two or more labeled point sets of size n wit...

Graph Resistance and Learning from Pairwise Comparisons

We consider the problem of learning the qualities of a collection of ite...

Group-matching algorithms for subjects and items

We consider the problem of constructing matched groups such that the res...

Independent Randomness Tests based on the Orthogonalized Non-overlapping Template Matching Test

In general, randomness tests included in a test suite are not independen...