###### Abstract
[12] use CAs to improve the performances of an online used-car platform with the aim of social welfare maximization and considering incentive compatibility conditions. The authors use both price and non-price attributes in bid generation, such as environmental compliance, service level, and car rating. CAs in the circular economy are also used in [13] to optimally compute, through the winner determination problem, the reselling prices in secondary markets. The remanufacturing of end-of-life products is the application case for an automated demand-supply matching negotiation algorithm proposed by [PERSON] et al. [14]. Reverse CAs are studied by [PERSON] et al. [15] for real applications in food industries. Incentives for recycling in the international supply chain is the topic addressed in the work by [PERSON] et al. [16], where the strategic decision is addressed with a Stackelberg game. In [17], auctions are used to regulate the relations between a carrier and several shippers in the waste collection process. Auction allocation and routing problems are solved by metaheuristics. The paper proposes the auction framework as a carrier-centric pattern in addition to solving synchronization issues. Differently, our proposal focuses on the relations between the logistics operators and the sorting/recycling plant. The work in [18] studies auctions for the battery recycling industry. The authors propose a multi-unit trade reduction mechanism that is demonstrated to be efficient for resource allocation in the electric vehicle battery recycling market. The work is aimed at supporting the decision-maker in evaluating policies for developing the EVBR market. In [19], a multi-objective approach for the circular economy is proposed. The importance of using a similar approach to the one presented in the previous paper is underlined in [20] where the literature on zero defect manufacturing has been classified. The investigation on how to combine optimization and negotiation to minimize recycling costs, taking into account the collection process and material sorting cost, has also been studied in [21] where the authors proposed a mixed-integer linear formulation for the multiperiod planning problem. We are interested in solution approaches that use market-based mechanisms, as described in [22], negotiations, cooperation, and auctions. Auctions and CAs make it possible to formally describe the problem of assigning shared and limited resources among customers and suppliers, as shown in [7]. Some applications can be found in flexible manufacturing [23], healthcare [24] and value creation in manufacturing [25]. Simulation is used in [26] to study negotiation protocols in a closed supply chain and to assess reusing policies. Ref. [27] consider the importance of multiple criteria analysis in waste collection. Another study is presented in [17] in which waste collection is solved using an auction-based system. The authors assume that the carrier plays the auctioneer role to decide on who wins the bids and the corresponding payments, while the shippers are the bidders. Notwithstanding the renewed interest in combinatorial auctions in applications such as the shared economy and eco-sustainability, there are a few applications in waste recycling and in particular bidding auction systems specifically designed to improve waste management operations. In contrast, in our manuscript, we propose a model based on combinatorial auctions able to efficiently allocate resources in the joint process of industrial solid waste collection and sorting. The remainder of the paper is as follows. Section 2 presents the mathematical models of the two problems. Section 3 formalizes the negotiation-based approach to integrate these models. Section 4 details the experiments and results; Section 5 provides the conclusions.