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A general predictive replacement model reduces the maintenance policy in one-unit systems. The model, considered as optimal maintenance policy or control limit policy is based on dynamic programming systems and is not fully constrained by the properties of the probability rules. It is an effective predictive tool for one-unit systems where the state of deterioration is less than a breakdown limit.

A study considers the n-job two-machine flow shop scheduling problem to minimize the sum of job completion times. A mathematical model of the flow shop scheduling problem was constructed, and three heuristic schemes were developed to ferret out near optimal schedules that provide an upper bound for a branch-and-bound algorithm. The algorithm was proven to be extremely powerful and capable of solving n-job two-machine flow shop scheduling problems.

Inventory control of repairable tools with incomplete information can be made more efficient through the use of a simulation program that would help managers define the number of tools to keep in order to meet a given service rate. The global behavior of the repairable tools are determined first. Then, the paramaters of the global behavior is fixed by using global information. The resulting program is very useful in the inventory management of repairable tools with incomplete information.