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Paper Citation Record · LEDGER

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem

As of 21 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2501.06573.

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

pith.paper-citation-record.v1
2501.06573 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:04:46.604858Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy19
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 20abe772-b022-43a4-b612-47f45b2519a3 · outbound

This paper cites Specifically, the observed traffic flow under congested conditions is less than the link physical capacity.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem Specifically, the observed traffic flow under congested conditions is less than the link physical capacity

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:49.407914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:45.815196Z digest=sha256:dee26557bd18159aac917d1c551a9e09f3162834b5da17386884b7e0aaf0515e

Observation aa6a6692-655d-4363-8c84-0fe98ebc833f · outbound

This paper cites flow" to exceed physical capacity. In traffic assignment models, the.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem flow" to exceed physical capacity. In traffic assignment models, the

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:49.246437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:45.864752Z digest=sha256:a7e319c7190db00f14b9d190231b409aec2228530464107db6d2dee06c8220cd

Observation 68656863-1de4-4579-81ed-239806afec08 · outbound

This paper cites It is explicitly considered to determine the equilibrium state of a link during the concerned period (Bliemer et 9 al., 2014; Lam and Zhang,.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem It is explicitly considered to determine the equilibrium state of a link during the concerned period (Bliemer et 9 al., 2014; Lam and Zhang,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:49.094765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:45.903887Z digest=sha256:3fcb91ec303ce2feff842f2d3419174f809276e3811010a5812206a8e171e1d2

Observation 9bebbfca-8919-4d7b-83c3-67926400a183 · outbound

This paper cites 10 The concept of the residual queue is further used to define the queue-dependent link capacity.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem 10 The concept of the residual queue is further used to define the queue-dependent link capacity

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:48.834747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:46.003691Z digest=sha256:15665531fb190bb0618eaf9331006b527c9f49d4eed57d7c8643d10959711380

Observation 1d92aea5-fabd-4aa3-9de5-c504dab9f05a · outbound

This paper cites The link capacity is calculated using a combination of Equations (1) and (4) in this paper.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem The link capacity is calculated using a combination of Equations (1) and (4) in this paper

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:48.664857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:46.027440Z digest=sha256:3516467c2881c526910e7d30d91c80751fbab8c6ad0b16197086c89a219deea0

Observation f54341fe-cf77-4569-a854-74eac054d5ea · outbound

This paper cites 𝑡𝑎(𝑣𝑎, 𝑄𝑎) = 𝑡𝑓,𝑎 (1 + 𝛽 ( 𝑣𝑎 𝐶𝑎(𝑄𝑎)) 𝑛 ) + 𝛼( 𝑄𝑎 𝐶𝑎(𝑄𝑎))𝑚, ∀𝑎 ∈ 𝐀 (5) where 𝑡𝑓,𝑎 is the free -flow travel time on link a.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem 𝑡𝑎(𝑣𝑎, 𝑄𝑎) = 𝑡𝑓,𝑎 (1 + 𝛽 ( 𝑣𝑎 𝐶𝑎(𝑄𝑎)) 𝑛 ) + 𝛼( 𝑄𝑎 𝐶𝑎(𝑄𝑎))𝑚, ∀𝑎 ∈ 𝐀 (5) where 𝑡𝑓,𝑎 is the free -flow travel time on link a

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:48.525279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:46.066401Z digest=sha256:4c67f846a8e3b0b43c93b5d58fa1a17e31b3bc0a147a9b231df1b789cea96284

Observation 9012e2b0-e347-4f8d-adba-aa85a6f16b05 · outbound

This paper cites 𝛈𝑎𝑝𝑑 is the set of links downstream of link a along path p.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem 𝛈𝑎𝑝𝑑 is the set of links downstream of link a along path p

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:48.460209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:46.124752Z digest=sha256:3711c562f92d993b659cd59df62dd2862b4aa89c4d8b832148730b3c1d17b335

Observation 5f747ceb-50b8-41ae-a258-dc4f68eeb02a · outbound

This paper cites Remark 1: The additive and separable generalized cost is considered in this paper for simplicity.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem Remark 1: The additive and separable generalized cost is considered in this paper for simplicity

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:48.304973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:46.164751Z digest=sha256:2a86531af24e4abe8ee56e5a03b5b07dfb2caa8d2514e1830833b4bcb58d8e86

Observation 1c8e8cda-a7a2-4fad-a429-1a69e6eec3fa · outbound

This paper cites The proof is completed.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem The proof is completed

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:48.177106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:46.211845Z digest=sha256:c024c12c367b906fb47acd6b77fd91bf6eb7f450eb2a1e79f9614016bc709260

Observation e243dbe8-a1d7-4957-9352-b971ee174317 · outbound

This paper cites The solution algorithm for a traffic assignment model that considers the capacity constraint may encounter convergence issues, resulting in infeasible or non -optimal solutions.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem The solution algorithm for a traffic assignment model that considers the capacity constraint may encounter convergence issues, resulting in infeasible or non -optimal solutions

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:48.102756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:46.264332Z digest=sha256:2b327febfab491c4f0f05313d3a88d4264c39d247a5f2d93ae1f9376cb14b47b

Observation a209f039-2326-4d06-bd94-c7eb7ae3a565 · outbound

This paper cites Step 2 Solve for the residual queue 𝐐𝑘+1 = arg min 𝐟̃𝑝∈𝐹 J(𝐟̃𝑝𝑘+1,𝐐) (23b) Implement a modified GP algorithm to solve this subproblem in Equation ( 23b).

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem Step 2 Solve for the residual queue 𝐐𝑘+1 = arg min 𝐟̃𝑝∈𝐹 J(𝐟̃𝑝𝑘+1,𝐐) (23b) Implement a modified GP algorithm to solve this subproblem in Equation ( 23b)

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:47.964771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:46.324891Z digest=sha256:245554b6fafb4234c7811fa295cbc6b3180d746da4498621fdf26c7aa6c6dc36

Observation 202245d0-5cfc-4664-83ee-650256badd21 · outbound

This paper cites After implementing the above GP-AM algorithm, the oversaturated path flow and residual queue can be obtained.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem After implementing the above GP-AM algorithm, the oversaturated path flow and residual queue can be obtained

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:47.824899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:46.374934Z digest=sha256:a24b4460ca76e14d8875be5448d40d5ddede2dab91ba52d93ec5126d02e4e5e5

Observation 64cc424e-2f92-458b-a9d2-21ab7723c666 · outbound

This paper cites Let {𝐱𝑘}𝑘≥0 be the sequence generated by the alternating minimization method.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem Let {𝐱𝑘}𝑘≥0 be the sequence generated by the alternating minimization method

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:47.664917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:46.434757Z digest=sha256:7e7bb01d539ae775b25d4076694f05dbbbffa53bf3744c4961913865aacf958d

Observation fbd44fe4-00a0-40ae-a4a4-fb75512ac05e · outbound

This paper cites Theorem 1 (rate of convergence of partial gradient mapping).

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem Theorem 1 (rate of convergence of partial gradient mapping)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:47.494861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:46.465061Z digest=sha256:273ee5f7d15031275acd8d8c10f5b0ab627e09f9509e5ce262c02db123e46f1b

Observation 4c8b6619-7caf-4b93-b59e-75056a54d735 · outbound

This paper cites As 𝛾 increases, the queuing delay increases such that the link travel time increases.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem As 𝛾 increases, the queuing delay increases such that the link travel time increases

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:47.315006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:46.502423Z digest=sha256:c59a566574c6e137aadb2125f9738ae5e0b26f5c81bbf42c2764bfb465767ac3

Observation 60d66e23-e086-4c25-90e2-d8fb79960998 · outbound

This paper cites To capture the effects of a residual queue on the link capacity, a queue -dependent link capacity is proposed and incorporated into a generalized link cost function.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem To capture the effects of a residual queue on the link capacity, a queue -dependent link capacity is proposed and incorporated into a generalized link cost function

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:47.144903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:46.545396Z digest=sha256:543c180bae6d1050747b8890ee3a56edd1a617f1fa89909b3f8fb4dcdc0ce5df

Observation 77da0a42-ef79-44ad-abd1-e4e4c836d9a3 · outbound

This paper cites an unresolved cited work.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:04:46.974756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:46.559739Z digest=sha256:85ff7bdf746ab2ca5a593bed5254246488706428df663391dbe3b63ad4119877

Observation 0671a34b-cf7b-467d-ad69-092633caaab0 · outbound

This paper cites (2013) 𝑡 = { 𝑡𝑓 [1 + 𝛼 (𝑣 𝐶) 𝛽 ] , 𝑖𝑓 𝑣 ≤ 𝐶 𝑡𝑓 [1 + 𝛼 (𝐷 𝐶) 𝛽 ] , 𝑖𝑓 𝑣 > 𝐶 𝐷 = ⅆ𝑒𝑚𝑎𝑛ⅆ 𝑎𝑡 𝑐𝑎𝑝𝑎𝑐𝑖𝑡𝑦 + 𝑞𝑢𝑒𝑢𝑒 Cheng et al.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem (2013) 𝑡 = { 𝑡𝑓 [1 + 𝛼 (𝑣 𝐶) 𝛽 ] , 𝑖𝑓 𝑣 ≤ 𝐶 𝑡𝑓 [1 + 𝛼 (𝐷 𝐶) 𝛽 ] , 𝑖𝑓 𝑣 > 𝐶 𝐷 = ⅆ𝑒𝑚𝑎𝑛ⅆ 𝑎𝑡 𝑐𝑎𝑝𝑎𝑐𝑖𝑡𝑦 + 𝑞𝑢𝑒𝑢𝑒 Cheng et al

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:46.805326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:46.571881Z digest=sha256:a326ef8ad43a1b16ceefdee09f1f29201ac2f6c72ad9a97683acfc7f5c6c22eb

Observation 73b8efcc-8ecb-4f26-b871-d3dbfa708e1c · outbound

This paper cites De Palma, A., Lindsey, R.,.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem De Palma, A., Lindsey, R.,

Reference 1966

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:46.712354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:46.604858Z digest=sha256:6c6e9d62d49092aaac12e2dd835d98b19fde37795da0c71c67b3fae28996d417

Observation 44f3b104-79fe-44bc-a6dc-70e554eec2e1 · outbound

This paper cites link flow.

Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem link flow

Reference 2000

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:48.984813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:04:45.945611Z digest=sha256:c908746f0219c2af593d7376460fa3cdceff75a84836bbcb991b71ed893b4d04

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