We consider the infinite-horizon multiple retailer joint replenishment problem with first order interaction. In this model, the joint setup cost incurred by a group of retailers placing an order simultaneously consists of a group-independent major setup cost and retailer-specific minor setup...

In this Extended Appendix, we extend the mixed integer second-order cone programming (MISOCP) formulation as well as the heuristics derived in Mak et al. (2013) to tackle the problem of assigning and sequencing appointments for multiple servers. Numerical examples are provided to demonstrate the...

In this paper, we present a unified approach to study a class of cooperative games arisingfrom inventory centralization. The optimization problems corresponding to the inventory games are formulated as stochastic programs. We observe that the strong duality of stochastic linear programming not...

Managing appointments for service systems with random job durations is a challenging task. We consider a class of appointment planning problems that involve two sets of decisions: job sequencing, i.e., determining the order in which a list of jobs should be performed by the server, and...