We solve the problem of optimal inventory management for a CARA market-maker who faces proportional transaction costs and marking to market. Our model accommodates inventory shocks following an arbitrary compound Poisson process, and allows us to link the optimal policy to the moment-generating...

We study how short-term informational advantages can be monetized in a high-frequency setting, when large inventories are explicitly penalized. We find that if most of the additional information is revealed regardless of the high-frequency traders' actions, then fast inventory management allows...

This article analyzes a discrete time lost sales inventory system with partially observed demand and unobserved shrinkages which happen both before and after the demand realization. When the demand exceeds the remaining inventory, the unmet demand is lost and unobserved. This problem in general...

We consider customised liquidity pools (CLP), which are trading venues that offer over-the-counter brokerage and dealer services to selected market participants. The dealer activity, whereby two-sided liquidity is offered to a limited pool of clients, shares in common similarities with the...

Agents attempt to maximize expected profits earned by selling multiple units of a perishable product where their revenue streams are affected by the prices they quote as well as the distribution of other prices quoted in the market by other agents. We propose a model which captures this...

The generalized truck-and-trailer routing problem (GTTRP) constitutes a uniēd model for vehicle routing problems with trailers and a fixed lorry-trailer assignment. The GTTRP is a generalization of the truck-and-trailer routing problem (TTRP), which itself is an extension of the well-known...

Transportation problem at its general form consists in finding an optimum transportation plan of a product from the receiving centers to consuming centers, so that the transportation costs to be minimal

This paper is motivated from a collaboration with a start-up delivering on-demand health care services. In this setting, nurse practitioners need to be dynamically routed to patients' houses as service requests are received. We solve this problem using approximate dynamic programming and machine...