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  • Articles  (227)
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  • Articles  (227)
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  • 1
    Publication Date: 2018-03-05
    Description: This paper investigates the coordination problem of a supply chain (SC) composed of a manufacturer exhibiting corporate social responsibility (CSR) and a retailer faced with random demand. The random demand is made up of the multiplication of price-dependent demand and random demand factor (RDF), plus the CSR-dependent demand. The centralized decision problem of the SC is an extension of the existing price setting newsvendor problem (PSNP). It is found that the sufficient condition for the quasi-concavity of expected profit (EP) on PSNP can not ensure the quasi-concavity of EP of the SC. Then, the concavity condition of EP related to the CSR effect factor is presented in the case of uniformly distributed RDF and linear demand in price, and the concavity of EP is proven under centralized decision. For decentralized decision under manufacturer’s Stackelberg game, the manufacturer determines wholesale price and its CSR investment, and then the retailer decides the order quantity and the retail price. The standard revenue-sharing (RS) contract is found not able to coordinate the SC, so a modified RS (MRS) contract is proposed to coordinate the SC. Finally, numerical examples illustrate the validity of the theoretical analysis and the coordination effectiveness of the MRS contract via Matlab.
    Print ISSN: 1619-4500
    Electronic ISSN: 1614-2411
    Topics: Mathematics
    Published by Springer
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  • 2
    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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  • 3
    Publication Date: 2018-03-05
    Print ISSN: 1619-4500
    Electronic ISSN: 1614-2411
    Topics: Mathematics
    Published by Springer
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  • 4
    Publication Date: 2018-03-05
    Print ISSN: 1619-4500
    Electronic ISSN: 1614-2411
    Topics: Mathematics
    Published by Springer
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  • 5
    Publication Date: 2018-03-05
    Print ISSN: 1619-4500
    Electronic ISSN: 1614-2411
    Topics: Mathematics
    Published by Springer
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  • 6
    Publication Date: 2018-03-05
    Print ISSN: 1619-4500
    Electronic ISSN: 1614-2411
    Topics: Mathematics
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  • 7
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    Springer
    In: 4OR
    Publication Date: 2018-03-05
    Description: This is the traditional triennial note used by the editors to give the readers of 4OR information on the state of the journal and its future. In the 3 years that have passed since the last editorial note (Liberti et al. in Q J Oper 13:1–13, 2015 ), three volumes (each containing four issues) of the journal have been published: vol. 13 (2015), vol. 14 (2016), and vol. 15 (2017).
    Print ISSN: 1619-4500
    Electronic ISSN: 1614-2411
    Topics: Mathematics
    Published by Springer
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  • 8
    facet.materialart.
    Unknown
    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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  • 9
    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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  • 10
    Publication Date: 2018-03-05
    Print ISSN: 1619-4500
    Electronic ISSN: 1614-2411
    Topics: Mathematics
    Published by Springer
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