Nowadays, applying various market-based methods for regulating supply and demand of resources for distributed computing is becoming increasingly relevant. In particular, different forms of standard auctions are actively used. However, their basic capabilities often do not enable to fully solve the complicated problems of resource allocation in a heterogeneous distributed computing environment. In this regard, a tender of computational works based on a combinatorial Vickrey auction has been designed. It is applied within multi-agent computing management. For the tender, new models are proposed to rank the criteria of resources owners and users. The tender use advantages are shown in comparison with traditional meta-schedulers.