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Articles 61 - 90 of 152
Full-Text Articles in Operations Research, Systems Engineering and Industrial Engineering
Study Of Whey Protein Adsorption Under Turbulent Flow , Olga Santos, Tommy Nylander, Gerhard Rizzo , Hans Müller-Steinhagen, Christian Trägårdh, Marie Paulsson
Study Of Whey Protein Adsorption Under Turbulent Flow , Olga Santos, Tommy Nylander, Gerhard Rizzo , Hans Müller-Steinhagen, Christian Trägårdh, Marie Paulsson
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
Reducing fouling in heat exchangers during treatment of milk products is one of the great challenges in the dairy industry. One approach to mitigate fouling is to alter the surface characteristics of the heat exchangers making them less prone to protein adsorption. On this background the European project MODSTEEL was established to study the use of new modified stainless steel surfaces to control fouling of milk components. This part of the project focuses on the adsorption of b-lactoglobulin (b-Lg) from a whey protein solution on unmodified and modified 316 2R stainless steel surfaces by in situ ellipsometry under well-defined flow …
Measurement And Modeling For The Mitigation Of Organic Crystallization Fouling, Shinji Isogai, Mitsutaka Nakamura, Hirofumi Inokuchi, Hiroaki Kimura, Yoshio Koga
Measurement And Modeling For The Mitigation Of Organic Crystallization Fouling, Shinji Isogai, Mitsutaka Nakamura, Hirofumi Inokuchi, Hiroaki Kimura, Yoshio Koga
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
One of the aromatic compound plants in Mitsubishi Chemical Corporation has a heavy crystallization fouling problem. In order to solve this problem, using a low power gamma ray sensor, we found the location of heaviest fouling and measured the fouling growth rate. We also made a crystallization fouling laboratory test unit (simulator) to study the effects of some factors, such as temperature, liquid velocity, surface roughness and liquid composition. Fouling rates of the industrial plant cooler and the laboratory fouling test unit were modeled using a combination of Kern-Seaton and Reitzer models. However, the parameters of the plant and test …
Numerical Simulation Of The Fouling On Structured Heat Transfer Surfaces (Fouling), Fahmi Brahim, Wolfgang Augustin, Matthias Bohnet
Numerical Simulation Of The Fouling On Structured Heat Transfer Surfaces (Fouling), Fahmi Brahim, Wolfgang Augustin, Matthias Bohnet
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
The objective of this work is to make a contribution to a good and fast prediction of the crystal growth on flat and structured heat transfer surfaces. For the numerical simulation the CFD code Fluent is used. The simulation enables an unsteady calculation of the fouling process and a realistic description of the temporal modification of the flow and temperature fields due to the continuous crystal growth. The numerical simulation of the crystal growth is based on models for the calculation of the deposition (Krause, 1993) and removal (Bohnet, 1990) mass rates. Based on experimental results of Hirsch (Bohnet et. …
The Early Stages Of Deposition Of Magnetite Particles Onto Alloy-800 Heat Exchange Surfaces Under Subcooled Boiling Conditions, Norman Arbeau, William Cook , Derek Lister
The Early Stages Of Deposition Of Magnetite Particles Onto Alloy-800 Heat Exchange Surfaces Under Subcooled Boiling Conditions, Norman Arbeau, William Cook , Derek Lister
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
The data collected during experiments in water loops on the fouling of heat exchange surfaces with magnetite particles often display a dip in the deposit accumulation curve at about 10 – 20 hours into the experiment. Generally the dips are small enough to be considered part of the scatter and may not even be discernible in long runs with considerable amounts of deposit. We have examined this phenomenon in a series of short experiments lasting up to a maximum of 40 hours. The test section of the recirculating water loop used for the study contained a heat exchanger tube of …
Identification And Testing Of Amines For Steam Generator Corrosion And Fouling Control, S. J. Klimas, K. Fruzzetti, C. W. Turner, P. V. Balakrishnan, G. L. Strati , R. L. Tapping
Identification And Testing Of Amines For Steam Generator Corrosion And Fouling Control, S. J. Klimas, K. Fruzzetti, C. W. Turner, P. V. Balakrishnan, G. L. Strati , R. L. Tapping
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
AECL and EPRI have been evaluating candidate amines for control of corrosion and fouling in recirculating nuclear steam generators. To permit an unambiguous ranking of the suitability of the candidate amines, the characteristics of base strength, volatility, price, steam generator fouling, cost of associated condensate and blowdown polishing, toxicity and ecotoxicity have been summarized in a single numerical index. The majority of the data required for the calculation of the index is available in the literature. The effect of amine on steam generator fouling has been measured using a recirculating loop at AECL under flow boiling conditions. The loop results …
Fouling Enhancement Under Flow Boiling At Elevated Steam Qualities, S. J. Klimas, J. M. Pietralik, K. Fruzzetti , R. L. Tapping
Fouling Enhancement Under Flow Boiling At Elevated Steam Qualities, S. J. Klimas, J. M. Pietralik, K. Fruzzetti , R. L. Tapping
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
Under laboratory conditions of flow boiling in water at 272–285°C (5.7 to 7.0 MPa), it has been observed that fouling rates by colloidal iron oxides ("crud") dramatically increase upon reaching a certain steam quality and mixture velocity. In loop tests, an increase in fouling rates by up to 3 orders of magnitude was repeatedly observed. This effect is called here “heavy fouling under elevated steam quality” (HFESQ).
HFESQ is potentially very significant for once-through steam generators, and very large versions of recirculating nuclear steam generators, because it can lead to heavy fouling in the upper tube bundle.
The mechanism of …
Understanding And Quantifying Cleaning Processes Using Fluid Dynamic Gauging, J. Y. M. Chew, S. S. S. Cardoso, W. R. Paterson, D. I. Wilson
Understanding And Quantifying Cleaning Processes Using Fluid Dynamic Gauging, J. Y. M. Chew, S. S. S. Cardoso, W. R. Paterson, D. I. Wilson
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
Computational fluid dynamics (CFD) has been used to analyse the flow patterns generated by the fluid dynamic gauging (FDG) technique in order to allow that technology to give simultaneous measurements of fouling layer thickness and incipient strength (via breakage). Stress field predictions were generated by solving the governing Navier-Stokes equations for these quasi-laminar flows using the numerical solver FastflowTM and validated by comparison with experimental hydrostatic pressure data. Enhanced FDG was used to study the removal of a tomato paste soil, which had been characterised by Liu et al. (2002) using a micro-manipulation technique. Deposit strength measurements gave clear …
The Practical Application And Innovation Of Cleaning Technology For Heat Exchangers, George E. Saxon Jr., Richard E. Putman
The Practical Application And Innovation Of Cleaning Technology For Heat Exchangers, George E. Saxon Jr., Richard E. Putman
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
The fouling of heat exchangers not only has a negative impact on heat transfer efficiency but also may restrict the output or production capacity of the facility. Given the cooling medium and the process, heat exchangers may be lightly fouled with organic deposits or may be severely blocked from hardened process chemicals. The probability of success in cleaning the heat exchanger is dependent on the selection of the appropriate cleaning technology under the specific fouling conditions. Early identification of fouling characteristics and a fundamental knowledge of cleaning system capabilities are essential in determining the most effective cleaning technology and the …
Fouling Mitigation Using Helixchanger Heat Exchangers, Bashir I. Master, Krishnan S. Chunangad, Venkateswaran Pushpanathan
Fouling Mitigation Using Helixchanger Heat Exchangers, Bashir I. Master, Krishnan S. Chunangad, Venkateswaran Pushpanathan
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
One of the major indeterminates in the design as well as operation of heat exchangers is the rate of fouling a select heat exchanger geometry would exhibit over the operation cycles. Gradual deterioration of heat exchanger performance due to the accumulation of fouling film on the heat transfer surface is often accounted for in the form of a fouling resistance, or commonly known as the fouling factor, while determining the heat transfer surface required for a specific heat duty. More often, the fouling mechanism responsible for the deterioration of heat exchanger performance is flow-velocity dependent. Maldistribution of flow, wakes and …
Overview Of Actual Methods For Characterization Of Ash Depostion, Ch. López, S. Unterberger, J. Maier, K. R. G. Hein
Overview Of Actual Methods For Characterization Of Ash Depostion, Ch. López, S. Unterberger, J. Maier, K. R. G. Hein
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
Utility operation with frequent fuel switching is a common practice, forced by cheaper coal availability in the international market. Additionally, a substitution of coal by cheaper local secondary fuels, ranging from forest wood to sewage sludge and industrial or domestic residues, is gaining importance. Switching between different fuels, even if these do not differ much from the design coal, enhances operational problems arising from ash deposition. In order to prevent operational problems, through comprehension of the phenomena taking place within the furnace, appropriate sampling and characterization of the deposits are necessary. Methods commonly used for analysis of ash deposits and …
Biocide Dosing Strategies For Biofilm Control, D. M. Grant , T. R. Bott
Biocide Dosing Strategies For Biofilm Control, D. M. Grant , T. R. Bott
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
In order to reduce environmental impact of biocide use for the control of biofilm formation in cooling water circuits, “environmentally friendly” biocides have been developed, but they are generally more expensive than the more traditional chemicals. It is imperative therefore, that the minimum quantity of biocide is employed, so that costs are kept to a minimum. To achieve this objective optimum dosing strategies are required. Using apilot plant in conjunction with a monoculture of Pseudomonas fluorecsens as the biofouling bacterium, tests were carried out using a proprietary biocide, to investigate the effects of dose concentration, duration and frequency of dosing …
Development Of A Data-Based Method For Performance Monitoring Of Heat Exchangers, A. Sawyer, A. E. Ruggles, B. R. Upadhyaya, E. Eryurek, K. Kavaklioglu, J. Miller
Development Of A Data-Based Method For Performance Monitoring Of Heat Exchangers, A. Sawyer, A. E. Ruggles, B. R. Upadhyaya, E. Eryurek, K. Kavaklioglu, J. Miller
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
A multivariate analysis method is developed for processing measurements, and for detecting and isolating faults and monitoring performance degradation in heat exchanger control loops. A heat exchanger inside a typical temperature to flow cascade loop is considered. This system includes a constant speed pump with flow control valves, pressure and temperature measurement. A proportional-integral-differential (PID) controller is used to maintain a temperature set point for the exit flow on one side of the exchanger. A thermal-fluid model for the components in the system is developed. A Fault Detection and Isolation (FDI) rule-base is formulated from results of simulations performed using …
Table Of Contents, The Editors
Table Of Contents, The Editors
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
No abstract provided.
Bayer Process Heat Exchangers Cleaning Efficiency: Optimizing The Acid Dissolution Of Sodalite Scale, Sébastien Fortin , Raymond Breault
Bayer Process Heat Exchangers Cleaning Efficiency: Optimizing The Acid Dissolution Of Sodalite Scale, Sébastien Fortin , Raymond Breault
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
Aluminum metal is produced by the electrolytic reduction of aluminum oxide (Al2O3), mainly extracted from bauxite ore digested in a hot caustic soda solution. This solution is supersaturated with respect to sodium aluminate and silicate, which react together to form sodalite (3[Na2O·Al2O3·2SiO2 ·2H2O] ·Na2CO3) at high temperatures. Heat exchanger tubes are scaled with this compound, which seriously reduces heat transfer coefficient, thus increasing energy costs.
Heat exchanger tubes are cleaned periodically with a sulfuric acid solution that contains a corrosion inhibitor. An investigation …
Fouling And Cleaning Of Modified Stainless Steel Plate Heat Exchangers Processing Milk Products, M. Beuf, G. Rizzo, J. C. Leuliet, H. Müller-Steinhagen, S. Yiantsios, A. Karabelas, T. Benezech
Fouling And Cleaning Of Modified Stainless Steel Plate Heat Exchangers Processing Milk Products, M. Beuf, G. Rizzo, J. C. Leuliet, H. Müller-Steinhagen, S. Yiantsios, A. Karabelas, T. Benezech
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
Fouling of heat exchangers in dairy industries is still quite a severe problem both technically and economically. Altering the surface properties of the heating surfaces would be a way of solving this issue.
Modified steel surfaces were tested in an Alfa Laval V2 plate heat exchanger throughout dairy product sterilization. The behavior was analyzed for 8 different surface treatments, such as coatings (Diamond Like Carbon [DLC], Silica, SiOX, Ni-P-PTFE, Excalibur®, Xylan®) and ion implantation (SiF+, MoS2).
All fouling and cleaning experiments were carried out in standard and well-controlled operating conditions. After fouling, …
Analysis Of Fouling Data Based On Prior Knowledge, M. R. Malayeri , H. Müller-Steinhagen
Analysis Of Fouling Data Based On Prior Knowledge, M. R. Malayeri , H. Müller-Steinhagen
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
Conventional regression methods are generally unable to analyse extremely complicated processes involving a considerable number of independent variables with poorly understood interaction. These methods use a defined equation for which the parameters of this equation have to be determined. It is however questionable whether any arbitrarily chosen equation is the best. This study aims to implement the powerful neural network architecture for a comprehensive data bank. The HTRI data bank contains a large and unique set of experimental data for cooling water fouling. Only a selection of the data bank is being used at the present time, due to the …
Comparison Of Crude Oil Fouling Using Two Different Probes, A. P. Watkinson
Comparison Of Crude Oil Fouling Using Two Different Probes, A. P. Watkinson
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
A variety of different fouling rigs, each with its own advantages and disadvantages is available to assess crude oil fouling. In this research, fouling of three crude oils are compared, using two electrically heated annular probes with strikingly different modes of operation. The Hot Liquid Process Simulator (HLPS) was operated in single-pass mode, under creeping flow conditions for time durations of a few hours at constant surface temperature. The Portable Fouling Research Unit (PFRU) was operated at velocities a factor of 250 higher, and followed the fouling process over two or more days at constant heat flux, using re-circulation of …
Improvements And New Developments In Self-Cleaning Heat Transfer Leading To New Applications , Dick G. Klaren
Improvements And New Developments In Self-Cleaning Heat Transfer Leading To New Applications , Dick G. Klaren
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
Improvements in the design have made the fluidized bed heat exchanger better suitable for the revamp of existing vertical severely fouling heat exchangers in evaporators, crystallizers and reboilers into a self-cleaning configuration. Highly viscous non-Newtonian slurries used in mineral processing can benefit from the fluidized bed heat exchanger not only due to its self-cleaning performance, but also as a result of the shear-thinning action of the fluidized particles which dramatically lowers the viscosity of the slurry. New developments have created the possibility to design compact self-cleaning fluidized bed heat exchangers which can compete with plate and frame exchangers.
An Effective Cip Procedure For Removing Dairy Protein Based Deposit – A Laboratory Investigation, Xiao Dong Chen, Necati Özkan, Frank Qin, Hong Xin, Lin Lin
An Effective Cip Procedure For Removing Dairy Protein Based Deposit – A Laboratory Investigation, Xiao Dong Chen, Necati Özkan, Frank Qin, Hong Xin, Lin Lin
Heat Exchanger Fouling and Cleaning: Fundamentals and Applications
In this paper, examples of using an in-situ electrochemical cleaning technique are illustrated. It can be shown that while using the standard chemical for cleaning in the dairy industry, the application of the in-situ electrochemical method is very effective in removing the dairy protein based fouling deposits. Both the gel protocol developed earlier and the real fouling procedure have been used to evaluate the effectiveness of the new method.
Development Of A Systems Engineering Model Of The Chemical Separations Process, Yitung Chen, Darrell Pepper, Randy Clarksean
Development Of A Systems Engineering Model Of The Chemical Separations Process, Yitung Chen, Darrell Pepper, Randy Clarksean
Separations Campaign (TRP)
Two activities are proposed: the development of a systems engineering model and the refinement of the Argonne code AMUSE (Argonne Model for Universal Solvent Extraction). The detailed systems engineering model will be continuously focusing on the integrated approach to the analysis of the materials separations associated with the TRP Program. A second portion of the project will streamline and improve an integral part of the overall systems model, which is the software package AMUSE. AMUSE analyzes the UREX process and other related solvent extraction processes and defines many of the process streams that are integral to the systems engineering model. …
Development Of A Systems Engineering Model Of The Chemical Separations Process: Quarterly Progress Report 2/16/03- 5/15/03, Yitung Chen, Randy Clarksean, Darrell Pepper
Development Of A Systems Engineering Model Of The Chemical Separations Process: Quarterly Progress Report 2/16/03- 5/15/03, Yitung Chen, Randy Clarksean, Darrell Pepper
Separations Campaign (TRP)
Two activities are proposed in this Phase I task: the development of a systems engineering model and the refinement of the Argonne code AMUSE (Argonne Model for Universal Solvent Extraction). The detailed systems engineering model is the start of an integrated approach to the analysis of the materials separations associated with the AAA Program. A second portion of the project is to streamline and improve an integral part of the overall systems model, which is the software package AMUSE. AMUSE analyzes the UREX process and other related solvent extraction processes and defines many of the process streams that are integral …
Acuta Enews May 2003, Vol. 32, No. 5
Acuta Enews May 2003, Vol. 32, No. 5
ACUTA Newsletters
In This Issue
Board Approves State of Nominees
Bridging the Digital Gap................................. Jeanne Jansenius, Univ of the South
ACUTA Database of University Telephone Numbers Now Available Be a Moderator or Monitor in Hollywood
Speech-Enabled Auto attendants............................. Detta Donoghue, SDC, lnc.
Tech Talk: SDR: Making Radio All That It Can Be.............................. Kevin Tonzillo, Dux Public Relations
Dues lnvoices Mailed Marshall University Chooses Cell Phones over Landlines ACUTA Board Report............................. John Bradley, Rensselaer Polytechnic lnstitute
DC Update........................... Whitney Johnson, Retired, Northern Michigan Uniuv
Member Needs Assessment Coming Soon.......................Jeri Semer, CAE, Executive Director
Welcome New Members
Acuta Enews April 2003, Vol. 32, No. 4
Acuta Enews April 2003, Vol. 32, No. 4
ACUTA Newsletters
In This Issue
ACUTA Ruth A. Michalecki Leadership Award
Quantum Encryption........................ Jeanne Jansenius, Univ. of the South
New Toot Turns Students into Technicians....................... Carol Everett Oliver, Everett Comm.
Lead Us Not lnto Network Complication............................. Kevin Tanzillo, Dux Public Relations
Expanded Eligibility for .EDU Domains
Cell Phone Numbers May Soon Be Available via 411 Directory Assistance
ACUTA Board Report........................ John Bradley, Rensselaer Polytechnic institute
DC Update............................. Whitney Johnson, Retired, Northern Michigan Univ.
Progress Report on Telephone Number Database.............................Jeri Semer, CAE, Executive Director
Welcome New Members
An Experimental Investigation Of The Differences In Subjective Pilot Workload Across Simulated And Real Flight Conditions, Todd V. Denning
An Experimental Investigation Of The Differences In Subjective Pilot Workload Across Simulated And Real Flight Conditions, Todd V. Denning
Master's Theses - Daytona Beach
An investigation was undertaken to determine the difference in workload between simulated and real flight conditions. The results from the Modified Cooper-Harper and NASA-TLX did not show significance, however, the theoretical implications from the NASA-TLX subscales were of interest. As this is the first study comparing these two environments utilizing subjective workload measures, more research needs to take place in order to provide reliable and valid findings.
The Effectiveness Of Monitor-Based Augmented Reality Paradigms For Learning Space-Related Technical Tasks, Christopher Michael Opalenik
The Effectiveness Of Monitor-Based Augmented Reality Paradigms For Learning Space-Related Technical Tasks, Christopher Michael Opalenik
Master's Theses - Daytona Beach
Currently today there are many types of media that can help individuals learn and excel in the on going effort to acquire knowledge for a specific trait or function in a workplace, laboratory, or learning facility. Technology has advanced in the fields of transportation, information gathering, and education. The need for better recall of information is in demand in a wide variety of areas. Augmented reality (AR) is a technology that may help meet this demand. AR is a hybrid of reality and virtual reality (VR) that uses the three-dimensional location viewed through a video or optical see-through media to …
Acuta Enews March 2003, Vol. 32, No. 3
Acuta Enews March 2003, Vol. 32, No. 3
ACUTA Newsletters
In This Issue
Student Serves Spam on Tufts Network
e Portfolios.............................................. Jeanne Jansenius, Univ. of the South
Take a SIP of this lmportant Protocol........................................ Kevin Tanzillo, Dux Public Relations
Upcoming ACUTA Audio Seminars
ACUTA Member Sites to see
Expanded Eligibility for .EDU Domains
FCC Acts on Local Competition
DC Update...................................... Whitney Johnson, Retired, Northern Michigan Univ.
Survey Results...................................... Jeri Semer, CAE, Executive Director
Board Report...................................... John Bradley, Rensselaer Polytechnic Institute
Welcome New Members
Multi-Threshold Control Of The Bmap/Sm/1/K Queue With Group Services, Alexander Dudin N., Srinivas R. Chakravarthy
Multi-Threshold Control Of The Bmap/Sm/1/K Queue With Group Services, Alexander Dudin N., Srinivas R. Chakravarthy
Industrial & Manufacturing Engineering Publications
We consider a finite capacity queue in which arrivals occur according to a batch Markovian arrival process (BMAP). The customers are served in groups of varying sizes. The services are governed by a controlled semi-Markovian process according to a multithreshold strategy. We perform the steady-state analysis of this model by computing (a) the queue length distributions at departure and arbitrary epochs, (b) the Laplace-Stieltjes transform of the sojourn time distribution of an admitted customer, and (c) some selected system performance measures. An optimization problem of interest is presented and some numerical examples are illustrated.
A Value Focused Thinking Approach To Software Interface In A Complex Analytical Domain, Christopher M. Mcgee
A Value Focused Thinking Approach To Software Interface In A Complex Analytical Domain, Christopher M. Mcgee
Theses and Dissertations
The intelligence community is faced with an extensive amount of data. Software programs are being developed to examine this issue of data overload and to develop solutions. The responsibility of making the final software decision lies on the analyst, therefore, the interface is the key to linking the intelligence data to the processing and results, If the interface is difficult and complex, the software will be less likely to be used. A methodology must be created which can objectively evaluate the effectiveness of the interface, This methodology will also measure the improvements in the interface's effectiveness that result when various …
A Stochastic Model For Joint Reception, Staging, Onward Movement, And Integration (Jrsoi), Nathan P. Sherman
A Stochastic Model For Joint Reception, Staging, Onward Movement, And Integration (Jrsoi), Nathan P. Sherman
Theses and Dissertations
A stochastic model for the performance evaluation of a key phase in the deployment process, namely Joint Reception, Staging, Onward Movement, and Integration (JRSOI) is presented. The process is modeled as an open, multi-class tandem queueing network wherein personnel and various classes of cargo are modeled as the flow entities and the stages of the process constitute individual queueing stations. Single and multiple-class models at both low and high resolutions are presented. No analytical stochastic model of this process currently exists in the literature or in practice. The model provides a quick look at key aggregate performance measures such as …
Planning Coverage Of Points Of Interest Via Multiple Imaging Surveillance Assets: A Multi-Model Approach, Sarah E. Jackson
Planning Coverage Of Points Of Interest Via Multiple Imaging Surveillance Assets: A Multi-Model Approach, Sarah E. Jackson
Theses and Dissertations
For the United States to maintain information superiority, it is necessary to have a means of allocating intelligence-gathering assets to collect information on particular points of interest. In today's geopolitical environment, however, the number of points of interest is growing rapidly, whereas the number of available assets is not. To aid in maintaining information superiority, this research explores the use of a Multi-Modal Goal Programming Resource Constrained Project Scheduling approach for allocating imaging surveillance assets (land, air, sea, and space) to a set of points of interest for a given time period. The multiple objectives of this formulation are to …