Mechanism design with agents who do not have quasi-linear preferences is an important line of research in social choice theory. Finding domains which admit truthful mechanisms is of central importance, particularly due to the well known impossibility result by Gibbard and Satterthwaite. In this paper we introduce a general framework for combinatorial assignments without money but with public va...

In this paper we develop a model for small scale examination scheduling. Beginning with a formulation of a quadratic assignment problem we show the transformation into a quadratic semi assignment problem and its application to a real world situation. Using simulated annealing we demonstrate the model's ability to generate schedules that satisfy student as well as university expectations.

We present a 1 − 1 √ k -competitive algorithm for the online stochastic generalized assignment problem under the assumption that no item takes up more than 1 k fraction of the capacity of any bin. Items arrive online; each item has a value and a size; upon arrival, an item can be placed in a bin or discarded; the objective is to maximize the total value of the placement. Both value and size of ...

We consider special cases of the quadratic assignment problem (QAP) that are linearizable in the sense of Bookhold. We provide combinatorial characterizations of the linearizable instances of the weighted feedback arc set QAP, and of the linearizable instances of the traveling salesman QAP. As a by-product, this yields a new well-solvable special case of the weighted feedback arc set problem.

This paper develops an integer mathematical programming model to design the cellular manufacturing systems under data envelopment analysis. Since workers have an important role in doing jobs on machines, assignment of workers to cells becomes a crucial factor for fully utilization of cellular manufacturing systems (CMS). The aim of the proposed is to minimize backorder costs and intercellul...

a new powerful optimization algorithm inspired from colonizing weeds is utilized to solve the well-known quadratic assignment problem (qap) which is of application in a large number of practical areas such as plant layout, machinery layout and so on. a set of reference numerical problems from qaplib is taken in order to evaluate the efficiency of the algorithm compared with the previous ones wh...