by Yong Shi (University of Nebraska at Omaha)

This book introduces multiple criteria and multiple constraint levels linear programming (MC²LP), which is an extension of linear programming (LP) and multiple criteria linear programming (MCLP). In the last decade, the author and a group of researchers from the USA, China, Korea, Germany, and Hungary have been working on the theory and applications of MC²LP problems. This volume integrates their main research results ranging from theoretical bases to broad areas of real world applications. The theoretical bases include the formulation of MC²LP; integer MC²LP and MC² transportation model; fuzzy MC²LP and fuzzy duality of MC²LP; optimal system designs and contingency plans; MC² decision support system; and MC² computer software development. The application areas are accounting, management information systems, production planning, and telecommunications management.

The book serves as a seminar text for both undergraduates and graduates who have a linear algebra or equivalent background. For practitioners, it will help in handling LP type problems in multiple decision making environment.

• Basic Concepts and Techniques:
  • Basic Techniques of Linear Programming
  • Relations between LP, MC, and MC² Problems
  • MC² Linear Programming
• Special MC² Problems:
  • MC² Integer Problems
  • MC² Transportation Problems
• Fuzzy MC² Solutions:
  • Fuzzy MC² Problems
  • Duality of Fuzzy MC² Problems
• Optimal Linear Designs:
  • Optimal System Designs and Contingency Plans
  • Generalized Good System and Contingency Plans
  • Optimal System Designs and Dual Contingency Plans
  • Generalized Good Systems and Dual Contingency Plans with Computer Aided System
• Related Approaches:
  • Satisficing and Compromise Models
  • De Novo Programming with Multiple Criteria
  • Eliminating Permanently Dominated Opportunity
• Applications:
  • Optimal Trade-Off Analysis in Transfer Pricing
  • Capital Budgeting with Multiple Criteria and Multiple Decision Makers
  • Data File Allocations
  • Rural Telecommunications System Credit Card Portfolio Management
  • Aggregate Production Planning
  • Agricultural Policy Making