The joint replenishment problem (JRP) has received considerable attention and all of the work on JRP is under explicit environment. In fact, the decision makers often have to face vague operational conditions. In this paper, a novel JRP model with fuzzy minor replenishment cost and fuzzy inventory holding cost is developed. More concisely, this model is a fuzzy dependent-chance programming (DCP...

This work presents the definition and solution of an optimization model using techniques based on the Particle Swarm Optimization (PSO) algorithm or the Particle Swarm Optimization and Genetic Algorithms. The model corresponds to the Joint Replenishment Problem in a system operating with quantity discounts. Results are shown in problems, where their size makes it difficult or impossible to esta...

This paper studies linear quadratic games with set up costs monotonic on the number of active players, namely, players whose action is non-zero. Such games arise naturally in joint replenishment inventory systems. Building upon a preliminary analysis of the properties of the best response strategies and Nash equilibria for the given game, the main contribution is the study of the same game unde...