Hm. Lee et al., MIXED-INTEGER LINEAR-PROGRAMMING MODEL FOR REFINERY SHORT-TERM SCHEDULING OF CRUDE-OIL UNLOADING WITH INVENTORY MANAGEMENT, Industrial & engineering chemistry research, 35(5), 1996, pp. 1630-1641
This paper addresses the problem of inventory management of a refinery
that imports several types of crude oil which are delivered by differ
ent vessels. This problem involves optimal operation of crude oil unlo
ading, its transfer from storage tanks to charging tanks, and the char
ging schedule for each crude oil distillation unit. A mixed-integer op
timization model is developed which relies on time discretization. The
problem involves bilinear equations due to mixing operations. However
, the linearity in the form of a mixed-integer linear program (MILP) i
s maintained by replacing bilinear terms with individual component flo
ws. The LP-based branch and bound method is applied to solve the model
, and several techniques, such as priority branching and bounding, and
special ordered sets are implemented to reduce the computation time.
This formulation and solution method was applied to an industrial-size
problem involving 3 vessels, 6 storage tanks, 4 charging tanks, and 3
crude oil distillation units over 15 time intervals. The MILP model c
ontained 105 binary variables, 991 continuous variables, and 2154 cons
traints and was effectively solved with the proposed solution approach
.