An optimal design problem is considered for processor-sharing service systems, where the number of customers served simultaneously is limited to a fixed finite number (called multiplicity). The decision variable is the multiplicity and the optimal criterion is to minimize the mean number of...

Four different methods have been used to apportion the seats in the United States House of Representatives among the states following the decennial census. The current method, the method of equal proportions, has been used for each census since 1940. In 1991, for the first time in U.S. history,...

Bid-prices are becoming an increasingly popular method for controlling the sale of inventory in revenue management applications. In this form of control, threshold---or "bid"---prices are set for the resources or units of inventory (seats on flight legs, hotel rooms on specific dates, etc.) and...