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LAGRANGE
RELAXATION DECOMPOSITION BASED JOINT DECISIONS FOR PRODUCTION AND
DISTRIBUTION
SYSTEM
WITH MULTIPLE PRODUCTS
Tang Jiafu
(Key Laboratory of Process Industrial
Automation of Ministry of Education, Northeastern University, Shenyang,
110004)
Kai-Leung Yung
(Department of Industried and Systems
Engineering, The Hong Kong Polytechnic University, Hong Kong)
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Abstract: The joint decisions of production assignment, lot sizing,
transportation and order quantity for multiple products in a
production-distribution network with multiple suppliers, multiple
products and multiple destinations are discussed. It tries to determine
assignment of production among suppliers, production lot size,
transportation between suppliers and destinations, and the order
quantity at the destinations. A Lagrange relaxation based two-layer
decomposition (LRD) method combining several heuristics is developed to
solve the joint decision model (JDM-M). The first layer is the joint
decisions in assigning production and transportation flow and lot sizing
(APLS-TF), and the second layer is the joint transportation and order
quantity (TOQ-M) problem. Some simulations show that this LRD with
heuristics is effective for solving joint decision problems,
particularly for large-scale problem.
Key words: Joint decisions Production and distribution
Coordination Heuristics Two layer
CLC No: O22
国家自然科学基金(70471028、70431003、70301007)、教育部科技研究重点项目(104064)、教育部新世纪优秀人才支持计划(NCET-04-
0280)和辽宁省自然科学基金(20022019)资助项目. Received 20040909, received in
revised form 20050320
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