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This paper focuses on a lot-order assignment problem, called the pegging problem, in a semiconductor wafer fabrication facility. Pegging is a process of assigning wafer lots to orders for wafers. We consider two types of pegging strategies: hard pegging strategy, under which the lot-order assignment is not changed once lots are assigned to orders; and soft pegging strategy, under which the lot-order assignment can be changed during the production period. For the soft pegging strategy, we develop three operational policies and three algorithms for the pegging problem of assigning lots to orders with the objective of minimizing total tardiness of the orders. To evaluate performance of the suggested policies and algorithms, we perform simulation experiments using real factory data as well as randomly generated data sets. Results of the simulation tests show that the repegging policies and the algorithms operated under the soft pegging strategy give better results than the hard pegging strategy.