An milp formulation for the scheduling of multiproduct pipeline systems

Rejowski, R.; Pinto, José M.

doi:10.1590/s0104-66322002000400016

Cited by 11 publications

(10 citation statements)

References 7 publications

(8 reference statements)

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“…The power requirement is higher during pumping products with higher densities and vice versa [31][32][33]. This validates the fact that products viscosities significantly affect power consumption of a pump and energy requirement of pumping systems [34][35][36][37]. As previously explained, variation in pump's head affects the energy consumption of the pumping systems.…”

Section: Total Electrical Power Consumption Of the Mainline Pumpsupporting

confidence: 60%

The Study of Electrical Energy Consumption in Cascaded Pumps for Pipeline Operations

Audu

2021

JENRR

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Pumps are critical infrastructure in the Oil and Gas industry, and have been widely used in pipeline transportations of petroleum products. The electrical energy needed by a pump to meet the minimum pipeline operational requirement plays an important role in the overall cost and evaluation of pumping systems performance, which has become an important issue in pump energy management and pump station designs. This paper provides a quantitative and analytical method using Bernoulli’s equation for studying energy dependence between two pumps (Booster and Mainline pumps) in series within a pump station as a function of pump’s head, flow-rate, and density. Using actual parameters from a pump station, the derived equations are validated on four different products. The densities of products are 1000 kg/cm3, 835 kg/cm3, 800 kg/cm3 and 660 kg/cm3 for Water, Automotive Gas Oil (AGO), Dual Purpose Kerosene (DPK), and Premium Motor Spirit (PMS) respectively. The results show that the energy requirement of the Booster pump is determined by the energy demand of the Mainline pump as a function of flowrate, density and pump’s head. The study is essential for developing energy saving strategy in pipeline operations and in electrical consideration when selecting the right electric motors for pumps in pump station design.

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Section: Total Electrical Power Consumption Of the Mainline Pumpsupporting

confidence: 60%

The Study of Electrical Energy Consumption in Cascaded Pumps for Pipeline Operations

Audu

2021

JENRR

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“…In petroleum engineering, the fluid flow from an oil well and the pressure drop in a pipeline can be approximated with a piecewise-linear function [1]. In optimization, nonlinear problems can be recast as a mixedinteger linear programming (MILP) problem, which is then solved with MILP algorithms [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

Models and Algorithms for Optimal Piecewise-Linear Function Approximation

Camponogara

Nazari

2015

Mathematical Problems in Engineering

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Piecewise-linear functions can approximate nonlinear and unknown functions for which only sample points are available. This paper presents a range of piecewise-linear models and algorithms to aid engineers to find an approximation that fits best their applications. The models include piecewise-linear functions with a fixed and maximum number of linear segments, lower and upper envelopes, strategies to ensure continuity, and a generalization of these models for stochastic functions whose data points are random variables. Derived from recursive formulations, the algorithms are applied to the approximation of the production function of gas-lifted oil wells.

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“…With the tanks, they developed a wide calibrated (MILP) model for the system's synchronized optimization. The model was formed on the basis of convex-hull formulation (Rejowski and Pinto, 2002).…”

Section: Literature Reviewmentioning

confidence: 99%

“…This mixing quantity will not be transferred to the storage tanks. It will be kept in the line up to the storage tank it reaches; and from there, it will be drawn back and subjected to the process again (Rejowski and Pinto, 2002). Otherwise; it may lead to high product losses.…”

Section: Constraintsmentioning

confidence: 99%

Solution to a Pipeline Scheduling Problem by Using a Mixed Integer Linear Programming Model

Baysal¹,

Uçaktürk²

2016

Scitech

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ABSTRACT:Pipelines are efficient ways of conveying huge amounts of refined petroleum products to distant points. Different products are pumped successively, in the pipelines without a need of a separator between them. Pipelines should be chosen very carefully based on the pumping sequences, volumes to be conveyed, covering the constraints involved by cutting operational costs and focusing on market demands. The real life problem considered in this study consists of a unidirectional pipe distribution system used for pumping petroleum products between the sources and distribution centers. Problem was stated as a Mixed Integer Linear Programming (MILP) model and solved by using GAMS software thorough actual data. As a result of the study, an optimal pumping schedule for pipeline operations at a certain period of time is achieved. Key Words: Pipeline scheduling, GAMS, Mixed integer linear programming, Optimization Karma Tamsayılı Doğrusal Programlama Modeli İle Bir Boru Hattı Çizelgeleme Probleminin ÇözümüÖZ: Boru hatları büyük miktarlardaki rafine edilmiş petrol ürünlerinin uzak mesafelere taşınmasında ekonomik bir yoldur. Boru hatlarında farklı ürünler aralarında herhangi bir ayırıcı olmadan arka arkaya pompalanmaktadır. Pompaj hareketinin sırası ve uzunluğu, boru hattı operasyonel maliyetlerini azaltarak kısıtları karşılamak ve pazar taleplerine cevap vermek için dikkatli bir şekilde seçilmek zorundadır. Bu çalışmada ele alınan gerçek hayat problemi, kaynak ve dağıtım merkezleri arasında yakıt türevlerinin pompalanmasında kullanılan ve tek yönlü boru hattından oluşan bir dağıtım sistemini içermektedir. Problem mevcut veriler doğrultusunda Karma Tamsayılı Doğrusal Programlama modeli olarak ifade edilmiş ve GAMS yazılımı ile çözülmüştür. Çalışma neticesinde belirli bir zaman dilimindeki boru hattı operasyonlarını içeren optimal bir pompaj çizelgesi elde edilmiştir.

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An milp formulation for the scheduling of multiproduct pipeline systems

Cited by 11 publications

References 7 publications

The Study of Electrical Energy Consumption in Cascaded Pumps for Pipeline Operations

The Study of Electrical Energy Consumption in Cascaded Pumps for Pipeline Operations

Models and Algorithms for Optimal Piecewise-Linear Function Approximation

Solution to a Pipeline Scheduling Problem by Using a Mixed Integer Linear Programming Model

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