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The coordination of lot-sizing decisions in an inter-organizational supply chain allows the involved companies to find a global production plan with lower total costs compared to individual and non-coordinated plans. Usually, the involved companies (referred to as agents in the following) are independent, self-interested and have private information. This contribution studies a distributed lot-sizing problem where each item may be produced by at least two agents. A collaborative planning approach based on simulated annealing is used to coordinate the individual plans of the agents. In collaborative planning mechanisms a general design challenge is the acceptance of a new incumbent solution during the negotiation process because it requires the elicitation and aggregation of the agents’ preferences. To deal with this challenge, we integrate the calculation of side payments based on the Shapley value into the …