Heuristics with Performance Guarantees for the Minimum Number of Matches Problem in Heat Recovery Network Design

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Title: Heuristics with Performance Guarantees for the Minimum Number of Matches Problem in Heat Recovery Network Design
Authors: Letsios, D
Kouyialis, G
Misener, R
Item Type: Working Paper
Abstract: Heat exchanger network synthesis exploits excess heat by integrating process hot and cold streams and improves energy efficiency by reducing utility usage. Determining the minimum number of matches is the bottleneck of designing a heat recovery network using the sequential method. This subproblem is an NP-hard mixed-integer linear program exhibiting combinatorial explosion in the possible hot and cold stream configurations. We explore this challenging optimization problem from a graph theoretic perspective and correlate it with other special optimization problems such as cost flow network and packing problems. In the case of a single temperature interval, we develop a new optimization formulation without problematic big-M parameters. We develop heuristic methods with performance guarantees using three approaches: (i) relaxation rounding, (ii) water filling, and (iii) greedy packing. Numerical results from a collection of 48 instances substantiate the strength of the methods.
Issue Date: 8-May-2018
URI: http://hdl.handle.net/10044/1/53671
Copyright Statement: © 2017 The Author(s)
Sponsor/Funder: Royal Academy Of Engineering
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: 10216/118
EP/P008739/1
Keywords: math.OC
cs.DS
Appears in Collections:Faculty of Engineering
Computing



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