Paper Citation Record · LEDGER

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints

As of 6 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2311.03327.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2311.03327 v4

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T05:50:19.219527Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

verified exact0
verified fuzzy17
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4a327f62-3aa2-4db1-8404-5c5ecaf49e14 · outbound

This paper cites Probabilistic properties of the dual structure of the multidimensional knapsack problem and fast statistically efficient algorithms.

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints Probabilistic properties of the dual structure of the multidimensional knapsack problem and fast statistically efficient algorithms

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T05:56:02.823398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation bfbe8a4d-ef12-4ec8-aec8-0fea36503941 · outbound

This paper cites Data-driven transit network design at scale.

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints Data-driven transit network design at scale

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T05:56:02.819705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation ff888d44-98fa-4e56-b0ab-926fffc12121 · outbound

This paper cites Submodular function maximization via the multilinear relaxation and contention resolution schemes.

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints Submodular function maximization via the multilinear relaxation and contention resolution schemes

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T05:56:02.815638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 49780e18-d48f-4655-88a8-843a38ec6da4 · outbound

This paper cites Maximizing non-monotone submodular set functions subject to different constraints: Combined algorithms.

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints Maximizing non-monotone submodular set functions subject to different constraints: Combined algorithms

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T05:56:02.809585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2507202c-92a8-4331-a757-b62c9f3fedf4 · outbound

This paper cites A threshold of (n) for approximating set cover.

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints A threshold of (n) for approximating set cover

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T05:56:02.812403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation bd64ea98-169d-4afc-84d1-51269ab1c6f9 · outbound

This paper cites A unified continuous greedy algorithm for submodular maximization.

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints A unified continuous greedy algorithm for submodular maximization

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T05:56:02.830952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 3ccf5666-8605-4841-98b5-0a7440ad2544 · outbound

This paper cites Tight approximation algorithms for maximum separable assignment problems.

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints Tight approximation algorithms for maximum separable assignment problems

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T05:56:02.827109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation fd6da1d9-a440-493f-aa22-6597851cd0db · outbound

This paper cites Incidence matrices and interval graphs.

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints Incidence matrices and interval graphs

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T05:56:02.806401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation f2289e1e-d539-4a08-83fd-02f8b062b64e · outbound

This paper cites Approximation algorithms for capacitated assignment with budget constraints and applications in transportation systems.

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints Approximation algorithms for capacitated assignment with budget constraints and applications in transportation systems

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T05:56:02.855593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2d20965e-bdd5-4244-8a12-2a666e98b0eb · outbound

This paper cites Maximizing submodular set functions subject to multiple linear constraints.

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints Maximizing submodular set functions subject to multiple linear constraints

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T05:56:02.859113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 27161626-2666-4496-9dde-e2d5f51e1fb0 · outbound

This paper cites Approximations for monotone and nonmonotone submodular maximization with knapsack constraints.

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints Approximations for monotone and nonmonotone submodular maximization with knapsack constraints

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T05:56:02.863006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 343aef44-d31c-4de6-b927-f4aaf3dd43a5 · outbound

This paper cites Non-monotone submodular maximization under matroid and knapsack constraints.

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints Non-monotone submodular maximization under matroid and knapsack constraints

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T05:56:02.845449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 7797f562-925d-4bf5-8e8f-b82e528bf246 · outbound

This paper cites GTFS developers.

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints GTFS developers

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T05:56:02.848272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation c8223b03-7ad6-4def-b7f2-03f6c3f267f1 · outbound

This paper cites Randomized algorithms.

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints Randomized algorithms

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T05:56:02.851545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 73613c02-1c5b-4fba-95fd-3a86ca8f37e4 · outbound

This paper cites Real-time approximate routing for smart transit systems.

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints Real-time approximate routing for smart transit systems

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T05:56:02.838091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation c953a8bb-cecc-46d6-88dd-f7660a54f9a0 · outbound

This paper cites Line planning in public transportation: models and methods.

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints Line planning in public transportation: models and methods

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T05:56:02.834540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 775659e8-2124-4472-8c29-9d546f31c1bd · outbound

This paper cites Planning the route system for urban buses.

Approximation Algorithms for Line Planning with Heterogeneous Fleets and Multiple Resource Constraints Planning the route system for urban buses

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T05:56:02.841147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Pith citing papers

No inbound Pith citation observations are available.