An Order Insertion Scheduling Model of Logistics Service Supply Chain Considering Capacity and Time Factors
Table 1
Notations for the model.
Notations
Description
The normal service cost per unit time per unit quantity of the FLSP in mass process in offering mass operation; this cost is the normal cost without time compression or delay in the operation when operated according to original schedule
The extra service cost per unit time per unit quantity of the FLSP in mass process in offering mass operation; this cost is the extra cost due to inserting new order and rescheduling which caused extra time compression or delay in completion orders
The normal service cost per unit time per unit quantity in offering customized operation for the th customer order; this cost is the normal cost without time compression or delay in the operation when operated according to original schedule
The extra service cost per unit time per unit quantity of the FLSP in offering customized operation for the th customer order; this cost is the extra cost due to inserting new order and rescheduling which caused extra time compression or delay in completion orders
The penalty cost per unit time per unit quantity of the th customer order as the order completion time is delayed;
The new order’s price for per unit time per unit quantity offered by new order’s customer
Since mass process has capacity limit, new order volume cannot increase infinitely; the new order volume is set to be no more than times of the FLSP’s normal upper limit capacity in mass service stage;
The upper limit of FLSP’s capacity in mass process, which is the upper limit of FLSP’s capacity after scheduling according to original orders (due to real limitations, this upper limit may just be the sum volume of original orders or may be larger than the sum volume; if FLSP operates within this limit volume, operation time will not increase)
Volume of the th order;
Volume of the new inserted order, where subscript characterizes the new inserted order, the same below
The maximum of new inserted order’s volume; in our numerical example, there are three original orders and one new inserted order; thus, can be replaced by
Service quantity satisfaction (capacity) degree of the mass service provider
The th FLSP’s service time satisfaction degree, ;
Initial value of service quantity (capacity) satisfaction degree of the mass service provider
The satisfaction degree of the mass process provider
The lower limit of the satisfaction degree of the mass process provider
The satisfaction degree of the customized process of the th customer order;
The lower limit of the satisfaction degree of the customized process of the th customer order;
Satisfaction degree of the th provider, ;
The normal operation time of original orders before new order’s arrival in mass process; this normal operation time is generated by original order’s scheduling result and is input parameter in numerical analysis
The normal operation time of the th original order before new order arrival in customized process. , the same below
Completion time requirement of the th customer order asked by customers;
Actual completion time of the th customer order;
Extra operation time of the provider in mass service process
Extra operation time of the th customer order in customized process
The weight of objective function in
The weight of objective function in
The total cost of LSI
The average satisfaction of all processes in LSSC
The minimum of when not considering the objective functions
The objective function synthesized by and , which is also called the comprehensive performance of LSSC
The optimal value of
Similarity coefficient of new inserted order and original orders
Time requirement similarity coefficient of new inserted order and original orders
Service procedure similarity coefficient of new inserted order and original orders
Customer service product similarity coefficient of new inserted order and original orders
The delay coefficient of the order completion time permitted by the th customer for its order
