Research output: Contribution to journal › Article › peer-review
Two-machine flow shop with dynamic storage space. / Berlińska, Joanna; Kononov, Alexander; Zinder, Yakov.
In: Optimization Letters, Vol. 15, No. 7, 10.2021, p. 2433-2454.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Two-machine flow shop with dynamic storage space
AU - Berlińska, Joanna
AU - Kononov, Alexander
AU - Zinder, Yakov
PY - 2021/10
Y1 - 2021/10
N2 - The publications on two-machine flow shop scheduling problems with job dependent storage requirements, where a job seizes a portion of the storage space for the entire duration of its processing, were motivated by various applications ranging from supply chains of mineral resources to multimedia systems. In contrast to the previous publications that assumed that the availability of the storage space remains unchanged, this paper is concerned with a more general case when the availability is a function of time. It strengthens the previously published result concerning the existence of an optimal permutation schedule, shows that the variable storage space availability leads to the NP-hardness in the strong sense even for unit processing times, and presents a polynomial-time approximation scheme together with several heuristic algorithms. The heuristics are evaluated by means of computational experiments.
AB - The publications on two-machine flow shop scheduling problems with job dependent storage requirements, where a job seizes a portion of the storage space for the entire duration of its processing, were motivated by various applications ranging from supply chains of mineral resources to multimedia systems. In contrast to the previous publications that assumed that the availability of the storage space remains unchanged, this paper is concerned with a more general case when the availability is a function of time. It strengthens the previously published result concerning the existence of an optimal permutation schedule, shows that the variable storage space availability leads to the NP-hardness in the strong sense even for unit processing times, and presents a polynomial-time approximation scheme together with several heuristic algorithms. The heuristics are evaluated by means of computational experiments.
KW - Computational complexity
KW - Dynamic storage
KW - Makespan
KW - Polynomial-time approximation scheme
KW - Two-machine flow shop
KW - CONSTRAINTS
UR - http://www.scopus.com/inward/record.url?scp=85091142590&partnerID=8YFLogxK
U2 - 10.1007/s11590-020-01645-5
DO - 10.1007/s11590-020-01645-5
M3 - Article
AN - SCOPUS:85091142590
VL - 15
SP - 2433
EP - 2454
JO - Optimization Letters
JF - Optimization Letters
SN - 1862-4472
IS - 7
ER -
ID: 25676966