Table 1: Notations for the model.

NotationsDescription

The normal service cost per unit time of the th FLSP in the th service process, which is , , the same as below
The additional service cost per unit time of the th FLSP in the th service process
When the th service process is delayed, the delay cost per unit time incurred in the th service process
When the time of the th service process is compressed, the time compression cost per unit time incurred in the th service process
The normal service time of the th FLSP in the th service process
The additional service time of the th FLSP in the th service process
The expected operation time for the th service process set by LSI
The satisfaction of the th FLSP in the th service process
Weights of the th FLSP’s satisfaction in the th service process
Time delay coefficient for the th service process set by LSI
The upper limit of time delay or compression incurred in the th service process, which can be endured by the th service process
The lower limit of the satisfaction of the th FLSP in the th service process
The adjustment coefficient of the time delay or compression, in which R >0 means that the operation time is delayed. R<0 indicates that the operation time is compressed
The total cost of LSSC
The total delivery time of all processes in LSSC
The total satisfaction of FLSPs in LSSC
The minimum of the objective function when the objective functions and are not considered
The minimum of the objective function when the objective functions and are not considered
The minimum of the objective function when the objective functions and are not considered
The maximum of the objective function when the objective functions and are not considered
The maximum of the objective function when the objective functions and are not considered
The relationship cost coefficient of the LSI,
The objective function synthesized by and , which is also called the comprehensive performance of LSSC
Weight coefficients of the objective function in the comprehensive performance of LSSC
Weight coefficients of the objective function in the comprehensive performance of LSSC
The th FLSP in the th service process