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  • Articles  (272)
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  • Articles  (272)
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  • 11
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    Springer
    In: 4OR
    Publication Date: 2018-03-05
    Description: In this paper, we study a vector scheduling problem with rejection on a single machine, in which each job is characterized by a d -dimension vector and a penalty, in the sense that, jobs can be either rejected by paying a certain penalty or assigned to the machine. The objective is to minimize the sum of the maximum load over all dimensions of the total vector of all accepted jobs, and the total penalty of rejected jobs. We prove that the problem is NP-hard and design two approximation algorithms running in polynomial time. When d is a fixed constant, we present a fully polynomial time approximation scheme.
    Print ISSN: 1619-4500
    Electronic ISSN: 1614-2411
    Topics: Mathematics
    Published by Springer
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  • 12
    Publication Date: 2018-03-05
    Description: In this paper we analyze an inter-temporal optimization problem of a representative firm that invests in horizontal and vertical innovations and that faces a constraint with respect to total R&D spending. We find that there can exist two different steady-states of the economy when the amount of research spending falls short of an endogenously determined threshold: one with higher productivities and less new technologies being developed, and the other with more technologies being created and lower productivities. But, for a higher amount of R&D spending the steady-state becomes unique and the firm produces the whole spectrum of available technologies. Thus, a lock-in effect may arise that, however, can be overcome by raising R&D spending sufficiently.
    Print ISSN: 1619-4500
    Electronic ISSN: 1614-2411
    Topics: Mathematics
    Published by Springer
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  • 13
    Publication Date: 2018-03-05
    Description: In this study, we deal with the problem of short-term transportation outsourcing for transshipment centers. The carrier needs to determine the numbers of outsourced and self-run trips for the different types of transportation tasks. Stochastic demands which are likely to occur in actual operation are considered. Different trip numbers need to be determined in sequence, so a two-stage stochastic programming technique is applied to formulate the problem. Two models are developed based upon practical considerations to help determine the optimal transportation outsourcing plan. A case study regarding the operations of a logistics carrier in Taiwan is performed. Several tests are also performed considering the number of demand scenarios, optimality gaps, variations in demands, outsourcing cost variations, and problem dimensions in order to better understand the performance of the two models.
    Print ISSN: 1619-4500
    Electronic ISSN: 1614-2411
    Topics: Mathematics
    Published by Springer
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  • 14
    Publication Date: 2018-03-05
    Print ISSN: 1619-4500
    Electronic ISSN: 1614-2411
    Topics: Mathematics
    Published by Springer
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  • 15
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    Springer
    In: 4OR
    Publication Date: 2018-03-05
    Description: Fritz John and Karush–Kuhn–Tucker necessary conditions for local LU-optimal solutions of the constrained interval-valued optimization problems involving inequality, equality and set constraints in Banach spaces in terms of convexificators are established. Under suitable assumptions on the generalized convexity of objective and constraint functions, sufficient conditions for LU-optimal solutions are given. The dual problems of Mond–Weir and Wolfe types are studied together with weak and strong duality theorems for them.
    Print ISSN: 1619-4500
    Electronic ISSN: 1614-2411
    Topics: Mathematics
    Published by Springer
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  • 16
    Publication Date: 2018-03-05
    Print ISSN: 1619-4500
    Electronic ISSN: 1614-2411
    Topics: Mathematics
    Published by Springer
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  • 17
    Publication Date: 2018-03-05
    Print ISSN: 1619-4500
    Electronic ISSN: 1614-2411
    Topics: Mathematics
    Published by Springer
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  • 18
    Publication Date: 2018-03-05
    Description: We introduce and prove new necessary and sufficient conditions to carry out a compact linearization approach for a general class of binary quadratic problems subject to assignment constraints that has been proposed by Liberti (4OR 5(3):231–245, 2007 , https://doi.org/10.1007/s10288-006-0015-3 ). The new conditions resolve inconsistencies that can occur when the original method is used. We also present a mixed-integer linear program to compute a minimally sized linearization. When all the assignment constraints have non-overlapping variable support, this program is shown to have a totally unimodular constraint matrix. Finally, we give a polynomial-time combinatorial algorithm that is exact in this case and can be used as a heuristic otherwise.
    Print ISSN: 1619-4500
    Electronic ISSN: 1614-2411
    Topics: Mathematics
    Published by Springer
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  • 19
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    Springer
    In: 4OR
    Publication Date: 2017-04-27
    Print ISSN: 1619-4500
    Electronic ISSN: 1614-2411
    Topics: Mathematics
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  • 20
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    Springer
    In: 4OR
    Publication Date: 2017-03-04
    Description: Seaborne trade is the lynchpin in almost every international supply chain, and about 90% of non-bulk cargo worldwide is transported by container. In this survey we give an overview of data-driven optimization problems in liner shipping. Research in liner shipping is motivated by a need for handling still more complex decision problems, based on big data sets and going across several organizational entities. Moreover, liner shipping optimization problems are pushing the limits of optimization methods, creating a new breeding ground for advanced modelling and solution methods. Starting from liner shipping network design , we consider the problem of container routing and speed optimization . Next, we consider empty container repositioning and stowage planning as well as disruption management . In addition, the problem of bunker purchasing is considered in depth. In each section we give a clear problem description, bring an overview of the existing literature, and go in depth with a specific model that somehow is essential for the problem. We conclude the survey by giving an introduction to the public benchmark instances LINER-LIB. Finally, we discuss future challenges and give directions for further research.
    Print ISSN: 1619-4500
    Electronic ISSN: 1614-2411
    Topics: Mathematics
    Published by Springer
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