rfds-4-days
numerics aggregations mixed_binary general_linear
| Submitter | Variables | Constraints | Density | Status | Group | Objective | MPS File |
|---|---|---|---|---|---|---|---|
| Dan Neiman | 2184028 | 1766257 | 2.7128e-06 | open | – | -1129915.8646* | rfds-4-days.mps.gz |
Flight scheduling model, anonymized. The most prominent aspect of this model is that it attempts to find an optimal schedule for a small (14) fleet of planes over a four day period, broken down into 96 hourly periods. Planes have 14 states (in-flight, or at one of 13 locations). Goal is to satisfy passenger demand with minimal cost and minimal violation of priority requests. Takes a considerable length of time (2+ hours) to find first integer solution using CPLEX.
Location of instance in collection
Instance Statistics
Detailed explanation of the following tables can be found here.
| Original | Presolved | |
|---|---|---|
| Variables | 2184028 | 1536989 |
| Constraints | 1766257 | 1333421 |
| Binaries | 190080 | 184943 |
| Integers | 0 | 3822 |
| Continuous | 1993948 | 1348224 |
| Implicit Integers | 0 | 3822 |
| Fixed Variables | 27942 | 0 |
| Nonzero Density | 2.71280e-06 | 3.19785e-06 |
| Nonzeroes | 10464800 | 6553850 |
| Original | Presolved | |
|---|---|---|
| Total | 1766257 | 1333421 |
| Empty | 0 | 0 |
| Free | 0 | 0 |
| Singleton | 88071 | 0 |
| Aggregations | 1069032 | 1038078 |
| Precedence | 3072 | 0 |
| Variable Bound | 1746 | 0 |
| Set Partitioning | 0 | 0 |
| Set Packing | 0 | 0 |
| Set Covering | 0 | 0 |
| Cardinality | 0 | 0 |
| Invariant Knapsack | 0 | 0 |
| Equation Knapsack | 0 | 0 |
| Bin Packing | 0 | 0 |
| Knapsack | 0 | 0 |
| Integer Knapsack | 0 | 0 |
| Mixed Binary | 604336 | 291521 |
| General Linear | 0 | 3822 |
| Indicator | 0 | 0 |
Structure
Available nonzero structure and decomposition information. Further information can be found here.
Nonzero entries of original problem
Nonzero entries after trivial presolving
Decomposed structure of original problem (dec-file)
Decomposed structure after trivial presolving (dec-file)
| value | min | median | mean | max | |
|---|---|---|---|---|---|
| Components | |||||
| Constraint % | |||||
| Variable % | |||||
| Score |
Best Known Solution(s)
Find solutions below. Download the archive containing all solutions from the Download page.
## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion| ID | Objective | Exact | Int. Viol | Cons. Viol | Obj. Viol | Submitter | Date | Description |
|---|---|---|---|---|---|---|---|---|
| 5 | -1129916 | 0 | 0.0e+00 | 0 | Mars Davletshin | 2024-10-02 | It was obtained by OptVerse using LNS (near the previous incumbent). | |
| 4 | -1129724 | 0 | 0.0e+00 | 0 | Michael Winkler | 2023-11-14 | new incumbents found with Gurobi 10.0.2 on AMD EPYC 7313P 16-Core Processor with 264075352 kB memory running with default except for MIPGAP=0 | |
| 3 | -1126397 | 0 | 1.9e-06 | 0 | Edward Rothberg | 2019-12-13 | Obtained with Gurobi 9.0 | |
| 2 | -1115965 | 0 | 0.0e+00 | 0 | Robert Ashford and Alkis Vazacopoulus | 2019-12-18 | Found using ODH|CPlex | |
| 1 | -1101301 | 0 | 1.0e-07 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |
Similar instances in collection
The following instances are most similar to rfds-4-days in the collection. This similarity analysis is based on 100 scaled instance features describing properties of the variables, objective function, bounds, constraints, and right hand sides.
Reference
No bibliographic information availableLast Update 2025 by Mark Turner
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