Operational Planning Using Mixed Integer Programming

1988 ◽  
Vol 64 (6) ◽  
pp. 485-488 ◽  
Author(s):  
H. Douglas Walker ◽  
Stephen W. Preiss
Keyword(s):  
Planning Process ◽  
Cost Savings ◽  
Mathematical Structure ◽  
Timber Harvesting ◽  
Operational Planning ◽  
Mixed Integer ◽  
Forest Planning ◽  
Planning Problem ◽  
Process Data ◽  
Planning Problems

A mathematical model was constructed and used to help plan five-year timber harvesting and delivery activities from an industrially managed public forest in Ontario. Harvest systems, harvest levels, and wood flows from compartments within the forest to various mills and delivery points were scheduled to minimize costs. The mathematical structure of the model may suggest applications to related forest planning problems. The model was useful in addressing the planning problem, and model results were used within the company's planning process. Data accuracy problems precluded assessing definitively the expected cost savings resulting from model use.

scholarly journals Transmission Network Expansion Planning Considering Phase-Shifter Transformers

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Celso T. Miasaki ◽  
Edgar M. C. Franco ◽  
Ruben A. Romero
Keyword(s):  
Mathematical Model ◽  
Transmission Lines ◽  
Phase Shifter ◽  
Planning Process ◽  
Main Idea ◽  
Mixed Integer ◽  
Planning Problem ◽  
Transmission Network ◽  
Network Expansion ◽  
Expansion Planning

This paper presents a novel mathematical model for the transmission network expansion planning problem. Main idea is to consider phase-shifter (PS) transformers as a new element of the transmission system expansion together with other traditional components such as transmission lines and conventional transformers. In this way, PS are added in order to redistribute active power flows in the system and, consequently, to diminish the total investment costs due to new transmission lines. Proposed mathematical model presents the structure of a mixed-integer nonlinear programming (MINLP) problem and is based on the standard DC model. In this paper, there is also applied a specialized genetic algorithm aimed at optimizing the allocation of candidate components in the network. Results obtained from computational simulations carried out with IEEE-24 bus system show an outstanding performance of the proposed methodology and model, indicating the technical viability of using these nonconventional devices during the planning process.

scholarly journals Partitioning and solving large-scale tactical harvest scheduling problems for industrial plantation forests

2020 ◽  
Vol 50 (8) ◽  
pp. 811-818
Author(s):  
Pedro Bellavenutte ◽  
Woodam Chung ◽  
Luis Diaz-Balteiro
Keyword(s):  
Large Scale ◽  
Optimization Procedure ◽  
Mixed Integer ◽  
Forest Planning ◽  
Planning Problem ◽  
Optimization Approach ◽  
Scheduling Problems ◽  
Harvest Scheduling ◽  
Plantation Forests ◽  
Industrial Plantation

Spatially explicit, tactical forest planning is a necessary but challenging task in the management of plantation forests. It involves harvest scheduling and planning for road access and log transportation over time and space. This combinatorial problem can be formulated into the fixed-charge transportation problem (FCTP), in which the sum of fixed and variable costs is minimized while meeting harvest volume requirements and allowing necessary road maintenance and log hauling activities. The problem can be solved using general optimization methods such as mixed-integer linear programming (MILP), but the computational efficiency of the MILP-based approach quickly drops as the size and complexity of the problem increases. We developed a new optimization procedure that partitions the large planning problem into smaller subproblems. We applied a hybrid optimization approach using both MILP and heuristic rules to efficiently solve the large FCTP that otherwise may not be solvable using traditional methods. We applied our approach to an industrial plantation forest in Brazil. Our applications demonstrate the performance of the new optimization procedure and the benefit of solving large forest planning problems that integrate harvest scheduling with road access and transportation.

scholarly journals Development of an economically sustainable and balanced tactical forest management plan: a case study in Quebec

2018 ◽  
Vol 48 (2) ◽  
pp. 197-207 ◽  
Author(s):  
Azadeh Mobtaker ◽  
Mustapha Ouhimmou ◽  
Mikael Rönnqvist ◽  
Marc Paquet
Keyword(s):  
Planning Process ◽  
Cost Minimization ◽  
Forest Products ◽  
Management Plan ◽  
Mixed Integer ◽  
Planning Problem ◽  
Economic Activities ◽  
Planning Strategy ◽  
Planning Decision ◽  
The Government

In Canada, most of the forests are publicly owned and forest products companies depend on timber licenses issued by the provincial governments for their wood supplies. According to the Sustainable Forest Development Act effective in the province of Quebec since April 2013, the government is responsible for harvest area selection and timber allocation to companies. This is a complex tactical planning decision with important impacts on downstream economic activities. Moreover, to avoid high grading of forest resources and to determine a sustainable tactical plan that ensures a stable level of availability, quality, and cost of supply over several years, it is necessary to take these criteria into consideration simultaneously during the planning process. We propose a mixed-integer nonlinear goal-programming formulation while employing Nadir theory as a reliable scaling technique to model this multi-objective planning problem. The model is solved by a linearization approach for a real case in the province of Quebec. The proposed solution method enables us to obtain good-quality solutions for relatively large cases. Results show that the proposed model outperforms conventional cost-minimization planning strategy by ensuring a more balanced use of wood supply and costs for all stakeholders over a longer period.

Optimal Operation of a Gogeneration Plant in Consideration of Equipment Startup/Shutdown Cost

1999 ◽  
Vol 121 (4) ◽  
pp. 254-261 ◽  
Author(s):  
R. Yokoyama ◽  
K. Ito
Keyword(s):  
Energy Supply ◽  
Large Scale ◽  
Numerical Study ◽  
District Heating ◽  
Computation Time ◽  
Optimal Operation ◽  
Operational Planning ◽  
Mixed Integer ◽  
Planning Problem ◽  
Operational Strategy

A rational method of determining the operational strategy of energy supply plants in consideration of equipment startup/shutdown cost is proposed. The operational planning problem is formulated as a large-scale mixed-integer linear programming one, in which on/off status and energy flow rates of equipment are determined so as to minimize the sum of energy supply and startup/shutdown costs over the period considered. By utilizing a special structure of the problem, an algorithm of solving the problem efficiently is proposed. Through a numerical study on the daily operational planning of a gas turbine cogeneration plant for district heating and cooling, the effectiveness of the proposed algorithm, is ascertained in terms of computation time, and the influence of equipment startup/shutdown cost on the operational strategy and cost is clarified.

scholarly journals REopt: A Platform for Energy System Integration and Optimization

2014 ◽  
Author(s):  
T. Simpkins ◽  
D. Cutler ◽  
K. Anderson ◽  
D. Olis ◽  
E. Elgqvist ◽  
...  
Keyword(s):  
System Integration ◽  
Net Present Value ◽  
Planning Process ◽  
Cost Savings ◽  
Integrated Approach ◽  
Energy System ◽  
Energy Performance ◽  
Mixed Integer ◽  
Energy Planning ◽  
Mixed Integer Linear Program

REopt is an energy planning platform offering concurrent, multiple technology integration and optimization capabilities to help clients meet their cost savings and energy performance goals. The REopt platform provides techno-economic decision support analysis throughout the energy planning process, from agency-level screening and macro planning to project development to energy asset operation. REopt employs an integrated approach to optimizing the energy costs of a site by considering electricity and thermal consumption, resource availability, complex tariff structures including time-of-use, demand and export rates, incentives, net metering, and interconnection limits. Formulated as a mixed integer linear program, REopt recommends an optimally sized mix of conventional and renewable energy, and energy storage technologies; estimates the net present value associated with implementing those technologies; and provides the cost-optimal dispatch strategy for operating them at maximum economic efficiency. The REopt platform can be customized to address a variety of energy optimization scenarios including policy, microgrid, and operational energy applications. This paper presents the REopt techno-economic model along with two examples of recently completed analysis projects.

scholarly journals Optimal Operation of a Gas Turbine Cogeneration Plant in Consideration of Equipment Startup/Shutdown Cost

1997 ◽  
Author(s):  
Ryohei Yokoyama ◽  
Koichi Ito
Keyword(s):  
Gas Turbine ◽  
Energy Supply ◽  
Large Scale ◽  
Numerical Study ◽  
Optimal Operation ◽  
Operational Planning ◽  
Mixed Integer ◽  
Planning Problem ◽  
Cogeneration Plant ◽  
Operational Strategy

A rational method of determining the operational strategy of energy supply plants in consideration of equipment startup/shutdown cost is proposed. The operational planning problem is formulated as a large-scale mixed-integer linear programming one, in which on/off status and energy flow rates of equipment are determined so as to minimize the sum of energy supply and startup/shutdown costs over the period considered. By utilizing a special structure of the problem, an algorithm of solving the problem efficiently is proposed. Through a numerical study on the daily operational planning of a gas turbine cogeneration plant for district heating and cooling, the effectiveness of the proposed algorithm is ascertained in terms of computation time, and the influence of equipment startup/shutdown cost on the operational strategy and cost is clarified.

scholarly journals Guidelines for risk management in forest planning — what is risk and when is risk management useful?

2018 ◽  
Vol 48 (4) ◽  
pp. 309-316 ◽  
Author(s):  
Kyle Eyvindson ◽  
Annika Kangas
Keyword(s):  
Risk Management ◽  
Management Practices ◽  
Planning Process ◽  
Forest Planning ◽  
Management Problem ◽  
Adaptive Planning ◽  
Substantial Impact ◽  
Additional Information ◽  
Trade Offs ◽  
Planning Problems

Managing forest resources occurs under various sources of uncertainty. Depending on the management problem, this uncertainty may have a substantial impact on the quality of the solution. As our knowledge on the sources and magnitude of uncertainty improves, integrating this knowledge into the development of management plans becomes increasingly useful, as additional information can improve the decision-making process. This adjustment requires a fundamental shift in how planning problems are viewed: instead of interpreting risk management as a technique needed only for addressing problems with natural hazards, risk management should be an integral part of most planning problems. Managing risks can be linked to a variety of adaptive planning methods: to help mitigate risk, either plans should be revised as new information becomes available or the possibility of adaptation should be accounted for in preparing the plans. We conduct a brief examination of the key topics in risk management and highlight how risk management implies trade-offs. Several decision problems that incorporate risk management are analyzed, and alternative perspectives for the problem are suggested to better address risk management issues. We then provide a decision framework for considering how to integrate risk management practices into the forest planning process.

scholarly journals Directly Observed Treatment: planning perspectives, improvisation and transfer of policy

2018 ◽  
Vol 71 (4) ◽  
pp. 1940-1948
Author(s):  
Rarianne Carvalho Peruhype ◽  
Simone Gomes Costa ◽  
Juliana Feliciati Hoffmann ◽  
Karen Bissell ◽  
Fernando Mitano ◽  
...  
Keyword(s):  
Planning Process ◽  
Negative Association ◽  
Point Of View ◽  
Operational Planning ◽  
Tuberculosis Control ◽  
Structured Interviews ◽  
Political Will ◽  
Control Programs ◽  
Directly Observed Treatment ◽  
Contextual Change

ABSTRACT Objective: to investigate the possibilities of positive and negative association of improvisation and the understanding of what will be the planning by managers and coordinators of tuberculosis control programs, in a context of transference of the Directly Observed Treatment policy. Method: this is a qualitative study, developed through semi-structured interviews analyzed in the light of French Discourse Analysis. Results: there was a weakening of the constructive and operational planning process, which is at the mercy of political will and the need of putting out fires. This, in turn, along with achômetro (Brazilian popular expression used on unsubstantiated point of view or opinion that is based solely and exclusively on the intuition of the person who says it), composed the metaphor of improvisation in its negative perspective, understood by automatism and unsystematization process. Improvisation, however, emerged as a representation of innovation, creativity, and contextual change. Final considerations: both the planning and the transfer of public policies constitute processes that need to be strengthened and qualified in the field of public health.

Investigation of solution techniques of unit commitment problems: A review

2021 ◽  
pp. 0309524X2199244
Author(s):  
Vineet Kumar ◽  
Ram Naresh ◽  
Amita Singh
Keyword(s):  
Power Systems ◽  
Planning Process ◽  
Unit Commitment ◽  
Operational Planning ◽  
Recent Past ◽  
Research Papers ◽  
Start Up ◽  
Subsequent Step ◽  
Commitment Problems ◽  
Published Research

The Unit Commitment (UC) is a significant act of optimization in day-to-day operational planning of modern power systems. After load forecasting, UC is the subsequent step in the planning process. The electric utilities decide in advance which units are to start-up, when to connect them to the network, the sequence in which the generating units should be shut down and for how long. In view of the above, this paper attempts on presenting a thorough and precise review of the recent approaches applied in optimizing UC problems, incorporating both stochastic and deterministic loads, based on various peer reviewed published research papers of reputed journals. It emphasizes on non-conventional energy and distributed power generating systems along with deregulated and regulated environment. Along with an overview, a comprehensive analysis of the UC algorithms reported in the recent past since 2015 has been discussed for the assistance of new researchers concerned with this domain.

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