In this study, we provide a new solution for cooperative games with coalition structures. The collective value of a player is defined as the sum of the equal division of the pure surplus obtained by his coalition from the coalitional bargaining and of his Shapley value for the internal...

In this paper, a mathematical programming model and a heuristically derived solution is described to assist with the efficient planning of services for a set of auxiliary bus lines (a bus-bridging system) during disruptions of metro and rapid transit lines. The model can be considered static and...

We establish a new sufficient condition for avoiding a generalized Anscombe’s paradox. In a situation where votes describe positions regarding finitely many yes-or-no issues, the Anscombe’s α-paradox holds if more than α% of the voters disagree on a majority of issues with the outcome of...

We study under which conditions the core of a game involved in a max-convex decomposition of another game turns out to be a stable set of the decomposed game. Some applications and numerical examples, including the remarkable Lucas’ five player game with a unique stable set different from the...

Our strategic objective is to develop a broadly categorized, expandable collection of test problems, to support the benchmarking of nonlinear optimization software packages in integrated technical computing environments (ITCEs). ITCEs—such as Maple, Mathematica, and MATLAB—support concise,...

This paper discusses the use of probabilistic or randomized algorithms for solving vehicle routing problems with non-smooth objective functions. Our approach employs non-uniform probability distributions to add a biased random behavior to the well-known savings heuristic. By doing so, a large...

The paper presents a new way of optimising maritime inventory routing problems (IRP) by using a heuristic approach based on fix-and-relax time decomposition extended with two new features. The purpose of the extensions is to reduce computation time during the fix-and-relax process and to improve...

On current electricity markets the electrical utilities are faced with very sophisticated decision making problems under uncertainty. Moreover, when focusing in the short-term management, generation companies must include some medium-term products that directly influence their short-term...

The response time variability problem (RTVP) is a scheduling problem with a wide range of real-world applications: mixed-model assembly lines, multi-threaded computer systems, network environments, broadcast of commercial videotapes and machine maintenance, among others. The RTVP arises whenever...

Let A,B be nonempty subsets of a Banach space X and let T:A→B be a non-self mapping. Under appropriate conditions, we study the existence of solutions for the minimization problem min<Subscript> x∈A </Subscript>∥x−Tx∥. Copyright Sociedad de Estadística e Investigación Operativa 2013