Model business issues mathematically and solve them with IBM ILOG CPLEX Optimizer's powerful algorithms to produce precise and logical decisions. * Improve efficiency, quickly implement strategies, and increase profitability. IBM ILOG CPLEX Optimizer's mathematical optimization technology enables smarter decision-making for efficient resource utilization. * Robust algorithms for demanding problems: IBM ILOG CPLEX Optimizer has solved problems with millions of constraints and variables. * Industry-leading support: IBM has an impressive rate of product improvement and ample support resources to serve you. * High performance: IBM ILOG CPLEX Optimizer delivers the power needed to solve very large, real-world optimization problems, as well as the speed required for today's interactive applications. * Fundamental algorithms: IBM ILOG CPLEX Optimizer provides flexible, high-performance optimizers for solving linear programming, quadratic programming, quadratically constrained programming and mixed integer programming problems. * Robust and reliable: A large installed base helps us make IBM ILOG CPLEX Optimizer better with each release. Every new feature is tested on the biggest, most diverse model library in the world. * Flexible interfaces: IBM ILOG CPLEX Optimizer gives developers a variety of ways to interact with it during the development and deployment of their applications. * IBM ILOG CPLEX Optimizer is a component of IBM ILOG CPLEX Optimization Studio, which combines and simplifies IBM's product offerings for optimization model development, solving, and deployment. It offers in a single package, all the functionality that was previously available among an array of product and component configurations, making all tools and technologies available during prototyping and development. * IBM ILOG CPLEX CP Optimizer provides a complementary optimization technology based on constraint programming that is especially suitable for detailed scheduling and other difficult combinatorial problems. * Latest version offers faster MIP solutions, especially on multiprocessor machines, improved connectors to 3rd party modeling tools, new graphical views in the IDE including Gantt charts and cumulative functions, improved syntactical support for detailed scheduling models, and additional API support for constraint programming search and propagation. IBM ILOG CPLEX Optimizer features Automatic and dynamic algorithm parameter control. IBM ILOG CPLEX Optimizer automatically determines "smart" settings for a wide range of algorithm parameters, usually resulting in optimal linear programming solution performance. However, for a more hands-on approach, dozens of parameters may be manually adjusted, including algorithmic strategy controls, output information controls, optimization duration limits, and numerical tolerances. Fast, automatic restarts from an advanced basis. Large problems can be modified, and then solved again in a fraction of the original solution time. A variety of problem modification options, such as: * The ability to add and delete variables * The ability to add and delete constraints * The ability to modify objective, right-hand side, bound and matrix coefficients * The ability to change constraint types A wide variety of input/output options, such as: * Problem files: read/write MPS files, IBM ILOG CPLEX Optimizer LP files, MPS basis and revise files, binary problem/basis files * Log files: session information and various solution reports * Solution files: ASCII and binary solution files * IBM ILOG CPLEX Optimizer messages: Each message type (such as RESULTS, WARNINGS or ERRORS) can be directed to specified files, or completely suppressed. Post solution information and analysis, including: * Objective function value * Solution variable and slack values * Constraint dual values (shadow prices) * Variable reduced costs * Right-hand side, objective function, and bound sensitivity ranges * Basic variables and constraints * Solution infeasibilities (if any exist) * Iteration/node count, solution time, process data * Infeasibility (IIS) finder for diagnosing problem infeasibilities