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In this paper, we present a approach to study the cooperative games among the hospitals, and formulate it as a stochastic linear programming problem. In the basic model, each hospital has their own capacity (the Operating Room) locally and has several surgery teams facing random demands. The proposed method with duality theory is applied to show the nonemptiness of the core and suggests a way to find...
This paper investigates truth-telling mechanisms for individual M/M/1 queueing systems to share their capacity. The cost we consider in this paper is congestion cost incurred by customers in the queueing system, wherein the unit congestion cost of each individual queueing system is private information. We first propose two Grove-Clarke mechanisms (truth-telling mechanisms) that satisfy budget balancedness...
We consider the problem where a group of manufacturers outsource non-preemptive operations to a third-party, where non-preemptive operations means processing operations can not be interrupted when it starts, such as mould making, blast furnace iron making. The manufacturers book time windows announced by third-party with prices and schedule operations in the booked time window. The cost for each manufacturer...
We consider a collaborative logistics problem where a group of shippers in a logistics network, each facing a time-varying deterministic demand, collaboratively make the production schedules together in order to reduce transportation cost by shipment consolidation; a common third-party logistics provider (3PL) is hired by them to carry the shipments, which offers incremental discounts to large-load...
We consider the economic lot-sizing (ELS) game with perishable inventory. In this cooperative game, a number of retailers that have a known demand through a fixed number of periods for a same kind of perishable goods collaborate to place joint orders to a single supplier. We first show that an ELS game with perishable inventory is subadditive, totally balanced and its core is nonempty. Then, we propose...
This paper considers a supplementary supply-order system in which a retailer has an opportunity to place an additional order with a supplier after the demand is realized during each selling period, besides her first order according to the prediction of demand. We formulate this multiperiod problem as an inventory game between the supplier and the retailer, derive the optimal decision policies for...
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