TY - JOUR
JF - IUST
JO - IJIEPR
VL - 28
IS - 3
PY - 2017
Y1 - 2017/9/01
TI - Minimizing a General Penalty Function on a Single Machine via Developing Approximation Algorithms and FPTASs
TT -
N2 - This paper addresses the Tardy/Lost penalty minimization on a single machine. According to this penalty criterion, if the tardiness of a job exceeds a predefined value, the job will be lost and penalized by a fixed value. Besides its application in real world problems, Tardy/Lost measure is a general form for popular objective functions like weighted tardiness, late work and tardiness with rejection and hence, the results of this study are applicable for them. Initially, we present two approximation algorithms. Then, two special cases of the main problem are considered. In the first case, all jobs have the same tardiness weights where an FPTAS is developed using the technique of “structuring the execution of an algorithm". The second special case occurs when none of the jobs can be early. For this case, a 2-approximation algorithm is developed as well as a dynamic programming algorithm which is converted to an FPTAS.
SP - 221
EP - 240
AU - Kianfar, Kamran
AU - Moslehi, Ghasem
AD - Faculty of Engineering, University of Isfahan, 81746-73441, Isfahan, Iran
KW - Single machine scheduling
KW - Tardy/Lost penalty
KW - Dynamic programming
KW - Approximation algorithm
KW - FPTAS
UR - http://ijiepr.iust.ac.ir/article-1-710-en.html
DO - 10.22068/ijiepr.28.3.221
ER -