Design and optimization of a soybean supply chain network under uncertainty

Agriculture And Food ◽

The Mathematical Model

Demands of foods have been increased in recent years for human and animal nutrition. Food supply chain management has been required to administer series of products and services in efficient ways for agriculture and food production to achieve customer satisfaction at the lowest cost. Agricultural systems have been changed during recent years, and have caused improvements in consumption and production patterns. However, there is not much research on supply chains of seeds (e.g., soybean) which have been produced in Canada. In this research, we propose a mixed-integer linear optimization formulation for a soybean supply chain network. The profit is maximized in the objective function. The mathematical formulation consists of multiple products, growers, potential farm company facilities, potential locations of distributers, and customers. Then, the mathematical model is extended by possibilistic approach to include uncertain parameters. In addition, the results are discussed and analyzed for the soybean supply chain network.

Multi-objective mixed-integer linear optimization model for sustainable closed-loop supply chain network: a case study on remanufacturing steering column

Environment Development and Sustainability ◽

10.1007/s10668-021-01713-5 ◽

2021 ◽

Author(s):

Sonu Rajak ◽

K. E. K. Vimal ◽

Sricharan Arumugam ◽

Jagadesan Parthiban ◽

Swesh Kannan Sivaraman ◽

...

Keyword(s):

Supply Chain ◽

Optimization Model ◽

Closed Loop ◽

Linear Optimization ◽

Mixed Integer ◽

Supply Chain Network ◽

Multi Objective ◽

A scenario-based optimization model for planning and redesigning the sale and after-sales services closed-loop supply chain

RAIRO - Operations Research ◽

10.1051/ro/2020131 ◽

2020 ◽

Author(s):

Nazanin Esmaeili ◽

Ebrahim Teimoury ◽

Fahimeh Pourmohammadi

Keyword(s):

Supply Chain ◽

Customer Satisfaction ◽

Optimization Model ◽

Linear Optimization ◽

Spare Parts ◽

Mixed Integer ◽

Optimization Approach ◽

Warranty Period ◽

In today's competitive world, the quality of after-sales services plays a significant role in customer satisfaction and customer retention. Some after-sales activities require spare parts and owing to the importance of customer satisfaction, the needed spare parts must be supplied until the end of the warranty period. In this study, a mixed-integer linear optimization model is presented to redesign and plan the sale and after-sales services supply chain that addresses the challenges of supplying spare parts after the production is stopped due to demand reduction. Three different options are considered for supplying spare parts, including production/procurement of extra parts while the product is being produced, remanufacturing, and procurement of parts just in time they are needed. Considering the challenges of supplying spare parts for after-sales services based on the product's life cycle is one contribution of this paper. Also, this paper addresses the uncertainties associated with different parameters through Mulvey's scenario-based optimization approach. Applicability of the model is investigated using a numerical example from the literature. The results indicate that the production/procurement of extra parts and remanufacturing are preferred to the third option. Moreover, remanufacturing is recommended when the remanufacturing cost is less than 23% of the production cost.

A mixed-integer linear optimization model for a two-echelon agribusiness supply chain

Electronic Notes in Discrete Mathematics ◽

10.1016/j.endm.2018.07.033 ◽

2018 ◽

Vol 69 ◽

pp. 253-260 ◽

Cited By ~ 3

Author(s):

Víctor M. Albornoz ◽

Cristian Urrutia-Gutiérrez

Keyword(s):

Supply Chain ◽

Optimization Model ◽

Linear Optimization ◽

Mixed Integer ◽

Integer Linear Optimization

Combined Location-Inventory Optimization of Deteriorating Products Supply Chain Based on CQMIP under Stochastic Environment

Mathematical Problems in Engineering ◽

10.1155/2018/8210254 ◽

2018 ◽

Vol 2018 ◽

pp. 1-10 ◽

Cited By ~ 1

Author(s):

Yong Ming Wang ◽

Hong Li Yin

Keyword(s):

Supply Chain ◽

Lead Time ◽

Inventory Model ◽

Mixed Integer ◽

Practical Situation ◽

Design Models ◽

Design And Optimization ◽

Multiple Products ◽

Inventory Optimization ◽

Capacitated Facilities

The design and optimization of combined location-inventory model for deteriorating products are a main focus in supply chain management. There were many combined location-inventory design models in this field, but these models are under the assumptions of adequate capacity facilities, invariable lead time, unique product, and uncorrelated retailer’s demands. These assumptions have a big gap in the practical situation. In this paper, we design a combined location-inventory model for deteriorating products under capacitated facilities, stochastic lead time, multiple products, and correlated retailers’ stochastic demands assumptions. These constraints are near to actual supply chain circumstance. The problem is modeled as conic quadratic mix-integer programming (CQMIP) to minimize the total expected cost. We explain how to formulate these problems as conic quadratic mixed-integer problems, and in order to obtain better computational results we use extended cover cuts. Simultaneously we compare our method with the previous Lagrange methods; the result is that the new CQMIP method can get better solution.

Optimal Test Assembly in Practice

Zeitschrift für Psychologie ◽

10.1027/2151-2604/a000146 ◽

2013 ◽

Vol 221 (3) ◽

pp. 190-200 ◽

Cited By ~ 9

Author(s):

Jörg-Tobias Kuhn ◽

Thomas Kiefer

Keyword(s):

Particle Physics ◽

Large Scale ◽

Block Design ◽

Linear Optimization ◽

Mixed Integer ◽

Optimal Test ◽

Automated Test Assembly ◽

Test Assembly ◽

Block Level ◽

Several techniques have been developed in recent years to generate optimal large-scale assessments (LSAs) of student achievement. These techniques often represent a blend of procedures from such diverse fields as experimental design, combinatorial optimization, particle physics, or neural networks. However, despite the theoretical advances in the field, there still exists a surprising scarcity of well-documented test designs in which all factors that have guided design decisions are explicitly and clearly communicated. This paper therefore has two goals. First, a brief summary of relevant key terms, as well as experimental designs and automated test assembly routines in LSA, is given. Second, conceptual and methodological steps in designing the assessment of the Austrian educational standards in mathematics are described in detail. The test design was generated using a two-step procedure, starting at the item block level and continuing at the item level. Initially, a partially balanced incomplete item block design was generated using simulated annealing, whereas in a second step, items were assigned to the item blocks using mixed-integer linear optimization in combination with a shadow-test approach.

Interdependencies of Infrastructure Investment Decisions in Multi-Energy Systems—A Sensitivity Analysis for Urban Residential Areas

Smart Cities ◽

10.3390/smartcities4010007 ◽

2021 ◽

Vol 4 (1) ◽

pp. 112-145

Author(s):

Daniel Then ◽

Johannes Bauer ◽

Tanja Kneiske ◽

Martin Braun

Keyword(s):

Sensitivity Analysis ◽

Energy Demand ◽

Business Models ◽

Linear Optimization ◽

Investment Decisions ◽

Energy System ◽

Mixed Integer ◽

The European Union ◽

Residential Areas ◽

Considering the European Union (EU) climate targets, the heating sector should be decarbonized by 80 to 95% up to 2050. Thus, the macro-trends forecast increasing energy efficiency and focus on the use of renewable gas or the electrification of heat generation. This has implications for the business models of urban electricity and in particular natural gas distribution network operators (DNOs): When the energy demand decreases, a disproportionately long grid is operated, which can cause a rise of grid charges and thus the gas price. This creates a situation in which a self-reinforcing feedback loop starts, which increases the risk of gas grid defection. We present a mixed integer linear optimization model to analyze the interdependencies between the electricity and gas DNOs’ and the building owners’ investment decisions during the transformation path. The results of the investigation in a real grid area are used to validate the simulation setup of a sensitivity analysis of 27 types of building collectives and five grid topologies, which provides a systematic insight into the interrelated system. Therefore, it is possible to identify building and grid configurations that increase the risk of a complete gas grid shutdown and those that should be operated as a flexibility option in a future renewable energy system.

Mixed-integer linear optimization for full truckload pickup and delivery

Optimization Letters ◽

10.1007/s11590-021-01736-x ◽

2021 ◽

Author(s):

Akang Wang ◽

Nicholas Ferro ◽

Rita Majewski ◽

Chrysanthos E. Gounaris

Keyword(s):

Linear Optimization ◽

Mixed Integer ◽

Pickup And Delivery ◽

Integer Linear Optimization

Multirow Intersection Cuts Based on the Infinity Norm

INFORMS Journal on Computing ◽

10.1287/ijoc.2020.1027 ◽

2021 ◽

Author(s):

Álinson S. Xavier ◽

Ricardo Fukasawa ◽

Laurent Poirrier

Keyword(s):

Optimization Problems ◽

Valid Inequalities ◽

Linear Optimization ◽

Computational Cost ◽

General Purpose ◽

Mixed Integer ◽

Infinity Norm ◽

Intersection Cuts ◽

Linear Optimization Problems ◽

When generating multirow intersection cuts for mixed-integer linear optimization problems, an important practical question is deciding which intersection cuts to use. Even when restricted to cuts that are facet defining for the corner relaxation, the number of potential candidates is still very large, especially for instances of large size. In this paper, we introduce a subset of intersection cuts based on the infinity norm that is very small, works for relaxations having arbitrary number of rows and, unlike many subclasses studied in the literature, takes into account the entire data from the simplex tableau. We describe an algorithm for generating these inequalities and run extensive computational experiments in order to evaluate their practical effectiveness in real-world instances. We conclude that this subset of inequalities yields, in terms of gap closure, around 50% of the benefits of using all valid inequalities for the corner relaxation simultaneously, but at a small fraction of the computational cost, and with a very small number of cuts. Summary of Contribution: Cutting planes are one of the most important techniques used by modern mixed-integer linear programming solvers when solving a variety of challenging operations research problems. The paper advances the state of the art on general-purpose multirow intersection cuts by proposing a practical and computationally friendly method to generate them.

An inland-depots-for-empty-containers-model for the hinterland

Maritime Business Review ◽

10.1108/mabr-10-2016-0030 ◽

2017 ◽

Vol 2 (2) ◽

pp. 126-141 ◽

Cited By ~ 3

Author(s):

Stephanie Finke ◽

Herbert Kotzab

Keyword(s):

Linear Optimization ◽

Point Of View ◽

Mixed Integer ◽

Total System ◽

Empty Container ◽

Content Type ◽

Shipping Company ◽

Empty Containers

Purpose The purpose of this paper is to figure out in which way a hinterland-based inland depot model can help a shipping company in solving the empty container problem at a regional level. The repositioning of empty containers is a very expensive operation that does not generate profits. Consequently, it is very important to provide an efficient empty container management. Design/methodology/approach In this paper, the empty container problem is discussed at a regional repositioning level. For solving this problem, a mixed-integer linear optimization model is developed and validated by using the German hinterland as a case. Findings The findings show that the hinterland-based solution is able to reduce the total system costs by 40 per cent. In addition, total of truck kilometres could be reduced by more than 30 per cent too. Research limitations/implications This research is based on German data only. Originality/value This paper closes the gap in empty container repositioning research by looking at the hinterland dimension from a single shipping company point of view.