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                     materials reuse-recycling); supply chains; CO  emissions targeting;
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                     regional resource management; heat-integrated power systems with
                     decarbonization and low-temperature energy systems; and the
                     integration of reliability, availability, and maintainability with
                     process design. An example is given of a real-life PI problem involving
                     pressure-drop considerations during heat transfer enhancement.
                     Several recent applications are mentioned, including a Locally
                     Integrated Energy Sector and extended Total Sites with multiple
                     energy carriers.
                        Chapter 7 presents an overview of process optimization from the
                     perspectives of Mathematical Programming (MPR) and the P-graph.
                     The main features of these frameworks are analyzed, and it is shown
                     that the P-graph is better suited than MPR for solving combinatorial
                     optimization problems and, in particular, problems involving the
                     synthesis of process networks. Optimization of process scheduling is
                     the next topic. The most popular models and representations of
                     process schedules are analyzed, and an efficient tool for obtaining
                     them is introduced: the S-graph.
                        Chapter 8 presents an integrated view of PI and optimization. It
                     discusses how to efficiently apply them jointly in process synthesis
                     and how to combine them. The chapter presents a number of examples
                     of the P-graph and S-graph frameworks applied to combinations of
                     PI and optimization. These applications are grouped thematically:
                     (1) optimal process synthesis, including examples on reaction networks,
                     green biorefineries, and azeotropic distillation; (2) synthesis of
                     general energy systems involving Heat Integration and optimal
                     retrofit; (3) optimal scheduling for maximizing throughput and
                     revenue; (4) minimizing emissions via optimal synthesis of advanced
                     energy conversion systems using Fuel-Cell Combined Cycles; and
                     (5) availability and reliability features.
                        Chapter 9 reviews the software tools for process modeling,
                     integration, and optimization. The engineering field of sustainable
                     design is complex in terms of scales and relationships, which makes
                     information technology and computer software essential for solving
                     problems—preferably with a user-friendly interface. The chapter
                     reviews a wide spectrum of tools, as follows: (1) graph-based process
                     optimization (process network synthesis solutions implementing
                     P-graphs and the S-Graph Studio software); (2) Energy and Mass
                     Integration tools designed to optimize the implementation of Heat
                     Integration (SPRINT, HEAT-int, HEXTRAN, SuperTarget, spreadsheet-
                     based tools), Total Site Integration (STAR, SITE-int), power generation
                     and combined heat and power (STAR, WORK), and water systems
                     integration (WATER); (3) process flowsheeting and simulation
                     packages developed or supported by the major players (Aspen Plus,
                     HYSYS and UniSim, gPROMS, CHEMCAD, PRO/II); (4) general-
                     purpose optimization systems (GAMS, MIPSYN); (5) computer
                     algebra systems; and (6) other tools.
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