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- X. Zhao, Peter B. Luh, J. Wang, David D. Yao, Yu-Chi Ho
- 1999

The subgradient method is used frequently to optimize dual functions in Lagrangian relaxation for separable integer programming problems. In the method, all subproblems must be solved optimally to obtain a subgradient direction. In this paper, the surrogate subgradient method is developed, where a proper direction can be obtained without solving optimally… (More)

- Ling Gou, Peter B. Luh, Yuji Kyoya
- 1998

Ž . A Holonic Manufacturing System HMS is a manufacturing system where key elements, such as machines, cells, factories, parts, products, operators, teams, etc., are modeled as ‘holons’ having autonomous and cooperatiÕe properties. The decentralized information structure, the distributed decision-making authority, the integration of physical and… (More)

Scheduling is one of the most basic but the most difficult problems encountered in the manufacturing industry. Generally, some degree of time-consuming and impractical enumeration is required to obtain optimal solutions. Industry has thus relied on a combination of heuristics and simulation to solve the problem, resulting in unreliable and often infeasible… (More)

- Peter B. Luh, Debra J. Hoitomt, Eric Max, Krishna R. Pattipati
- ICRA
- 1989

- Yu-Chi Ho, Peter B. Luh, Geert Jan Olsder
- Automatica
- 1982

- J. Guo, Peter B. Luh
- 2004

Predicting market clearing prices is an important but difficult task, and neural networks have been widely used. A single neural network, however, may misrepresent part of the input-output data mapping that could have been correctly represented by different networks. The use of a “committee machine” composed of multiple networks can in principle alleviate… (More)

- Tiening Sun, Peter B. Luh
- 2007

When applied to large-scale separable optimization problems, the recently developed surrogate subgradient method for Lagrangian relaxation (Zhao et al.: J. Optim. Theory Appl. 100, 699–712, 1999) does not need to solve optimally all the subproblems to update the multipliers, as the traditional subgradient method requires. Based on it, the penalty surrogate… (More)

- Debra J. Hoitomt, Peter B. Luh, Krishna R. Pattipati
- IEEE Trans. Robotics and Automation
- 1993

- Haoxun Chen, Peter B. Luh
- European Journal of Operational Research
- 2003

Lagrangian relaxation (LR) has recently emerged as a practical approach for complex scheduling problems. The efficiency of the approach, however, depends on how fast the relaxed subproblems and the dual problem are solved. Previously, machine capacity constraints were relaxed and the subproblems were solved by using dynamic programming (DP). The number of… (More)

- Xiufeng Song, Peter Willett, Shengli Zhou, Peter B. Luh
- IEEE Transactions on Signal Processing
- 2012

The interaction between a smart target and a smart MIMO radar is investigated from a game theory perspective. Since the target and the radar form an adversarial system, their interaction is modeled as a two-person zero-sum game. The mutual information criterion is used in formulating the utility functions. The unilateral, hierarchical, and symmetric games… (More)